{"id":"https://openalex.org/W4414684145","doi":"https://doi.org/10.1007/s40993-026-00732-3","title":"Rational Isolated j-invariants from $$X_1(\\ell ^n)$$ and $$X_0(\\ell ^n)$$","display_name":"Rational Isolated j-invariants from $$X_1(\\ell ^n)$$ and $$X_0(\\ell ^n)$$","publication_year":2026,"publication_date":"2026-05-02","ids":{"openalex":"https://openalex.org/W4414684145","doi":"https://doi.org/10.1007/s40993-026-00732-3"},"language":"en","primary_location":{"id":"doi:10.1007/s40993-026-00732-3","doi":"https://doi.org/10.1007/s40993-026-00732-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40993-026-00732-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210215925","display_name":"Research in Number Theory","issn_l":"2363-9555","issn":["2363-9555","2522-0160"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Research in Number Theory","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2506.19560","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067353271","display_name":"Abbey Bourdon","orcid":"https://orcid.org/0000-0002-2938-914X","observed_orcids":["https://orcid.org/0000-0002-2938-914X"]},"institutions":[{"id":"https://openalex.org/I47251452","display_name":"Wake Forest University","ror":"https://ror.org/0207ad724","country_code":"US","type":"education","lineage":["https://openalex.org/I47251452"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Abbey Bourdon","raw_affiliation_strings":["Wake Forest University, Winston-Salem, NC, 27104, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wake Forest University, Winston-Salem, NC, 27104, USA","institution_ids":["https://openalex.org/I47251452"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014438457","display_name":"\u00d6zlem Ejder","orcid":"https://orcid.org/0009-0007-3440-191X","observed_orcids":["https://orcid.org/0009-0007-3440-191X"]},"institutions":[{"id":"https://openalex.org/I1351752","display_name":"Ko\u00e7 University","ror":"https://ror.org/00jzwgz36","country_code":"TR","type":"education","lineage":["https://openalex.org/I1351752"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"\u00d6zlem Ejder","raw_affiliation_strings":["Koc University, Istanbul, Turkey"],"raw_orcid":"https://orcid.org/0009-0007-3440-191X","affiliations":[{"raw_affiliation_string":"Koc University, Istanbul, Turkey","institution_ids":["https://openalex.org/I1351752"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014438457"],"corresponding_institution_ids":["https://openalex.org/I1351752"],"apc_list":{"value":3590,"currency":"USD","value_usd":3590},"apc_paid":null,"fwci":4.0295,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.90645727,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":96},"biblio":{"volume":"12","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9794999957084656,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9794999957084656,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.018400000408291817,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.0006000000284984708,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/j-invariant","display_name":"j-invariant","score":0.7689999938011169},{"id":"https://openalex.org/keywords/modular-curves","display_name":"modular curves","score":0.9269999861717224},{"id":"https://openalex.org/keywords/isolated-points","display_name":"isolated points","score":0.9369999766349792},{"id":"https://openalex.org/keywords/rational-points","display_name":"rational points","score":0.6380000114440918},{"id":"https://openalex.org/keywords/elliptic-curves","display_name":"elliptic curves","score":0.7760000228881836},{"id":"https://openalex.org/keywords/cyclic-subgroups","display_name":"cyclic subgroups","score":0.5370000004768372}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7789000272750854},{"id":"https://openalex.org/C156330621","wikidata":"https://www.wikidata.org/wiki/Q3393476","display_name":"Rational point","level":3,"score":0.597599983215332},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.5807999968528748},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5457000136375427},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5315999984741211},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.47929999232292175},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4499000012874603},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4447999894618988},{"id":"https://openalex.org/C207043602","wikidata":"https://www.wikidata.org/wiki/Q266237","display_name":"Algebraic curve","level":2,"score":0.4406000077724457},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.429500013589859},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.42669999599456787},{"id":"https://openalex.org/C46875033","wikidata":"https://www.wikidata.org/wiki/Q1244890","display_name":"Rational number","level":2,"score":0.3808000087738037},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3808000087738037},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3693999946117401},{"id":"https://openalex.org/C46581059","wikidata":"https://www.wikidata.org/wiki/Q116301","display_name":"Periodic point","level":2,"score":0.34619998931884766},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.34450000524520874},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32120001316070557},{"id":"https://openalex.org/C59766168","wikidata":"https://www.wikidata.org/wiki/Q3001220","display_name":"Modular curve","level":3,"score":0.3012000024318695},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.28360000252723694},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.2802000045776367},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.27309998869895935},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.26589998602867126},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.26159998774528503},{"id":"https://openalex.org/C181633103","wikidata":"https://www.wikidata.org/wiki/Q1834342","display_name":"Modular group","level":2,"score":0.25690001249313354},{"id":"https://openalex.org/C2987642246","wikidata":"https://www.wikidata.org/wiki/Q5452196","display_name":"First order","level":2,"score":0.2517000138759613}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s40993-026-00732-3","doi":"https://doi.org/10.1007/s40993-026-00732-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40993-026-00732-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210215925","display_name":"Research in Number Theory","issn_l":"2363-9555","issn":["2363-9555","2522-0160"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Research in Number Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2506.19560","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2506.19560","pdf_url":"https://arxiv.org/pdf/2506.19560","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2506.19560","doi":"https://doi.org/10.48550/arxiv.2506.19560","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2506.19560","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2506.19560","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2506.19560","pdf_url":"https://arxiv.org/pdf/2506.19560","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G5539276327","display_name":null,"funder_award_id":"124F203","funder_id":"https://openalex.org/F4320322626","funder_display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu"},{"id":"https://openalex.org/G6843934855","display_name":null,"funder_award_id":"DMS-2145270","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G7946286228","display_name":"CAREER: Exceptional Points on Modular Curves","funder_award_id":"2145270","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320322626","display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu","ror":"https://ror.org/04w9kkr77"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4414684145.pdf","grobid_xml":"https://content.openalex.org/works/W4414684145.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1502199504","https://openalex.org/W1508466895","https://openalex.org/W1598713576","https://openalex.org/W1616571172","https://openalex.org/W1976677460","https://openalex.org/W1978197321","https://openalex.org/W1984754959","https://openalex.org/W2001572759","https://openalex.org/W2038383731","https://openalex.org/W2068829323","https://openalex.org/W2083355759","https://openalex.org/W2085262455","https://openalex.org/W2205586407","https://openalex.org/W2350077673","https://openalex.org/W2520916419","https://openalex.org/W2607768409","https://openalex.org/W2886261248","https://openalex.org/W3083750569","https://openalex.org/W4211073947","https://openalex.org/W4291136023","https://openalex.org/W4389871222","https://openalex.org/W4395466853"],"related_works":["https://openalex.org/W4211073947","https://openalex.org/W4416411514","https://openalex.org/W4415310492","https://openalex.org/W4417447129","https://openalex.org/W2886261248","https://openalex.org/W4389871222","https://openalex.org/W7203934049","https://openalex.org/W4395466853","https://openalex.org/W7143882799","https://openalex.org/W2038137404"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2025-10-10T00:00:00"}
