{"id":"https://openalex.org/W1916232169","doi":"https://doi.org/10.1090/mcom/3012","title":"Families of elliptic curves over cyclic cubic number fields with prescribed torsion","display_name":"Families of elliptic curves over cyclic cubic number fields with prescribed torsion","publication_year":2015,"publication_date":"2015-08-03","ids":{"openalex":"https://openalex.org/W1916232169","doi":"https://doi.org/10.1090/mcom/3012","mag":"1916232169"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3012","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3012","pdf_url":"https://www.ams.org/mcom/2016-85-299/S0025-5718-2015-03012-9/S0025-5718-2015-03012-9.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2016-85-299/S0025-5718-2015-03012-9/S0025-5718-2015-03012-9.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008163300","display_name":"Daeyeol Jeon","orcid":"https://orcid.org/0000-0002-5174-9375"},"institutions":[{"id":"https://openalex.org/I206597221","display_name":"Kongju National University","ror":"https://ror.org/0373nm262","country_code":"KR","type":"education","lineage":["https://openalex.org/I206597221"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Daeyeol Jeon","raw_affiliation_strings":["Department of Mathematics Education, Kongju National University, Kongju, Chungnam, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Kongju National University, Kongju, Chungnam, South Korea","institution_ids":["https://openalex.org/I206597221"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5008163300"],"corresponding_institution_ids":["https://openalex.org/I206597221"],"apc_list":null,"apc_paid":null,"fwci":1.5462,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.80055485,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"85","issue":"299","first_page":"1485","last_page":"1502"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9998999834060669,"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":0.9998999834060669,"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":0.984499990940094,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.982699990272522,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8742241859436035},{"id":"https://openalex.org/keywords/torsion","display_name":"Torsion (gastropod)","score":0.8152190446853638},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.7197613716125488},{"id":"https://openalex.org/keywords/division-polynomials","display_name":"Division polynomials","score":0.509088933467865},{"id":"https://openalex.org/keywords/schoofs-algorithm","display_name":"Schoof's algorithm","score":0.4656195640563965},{"id":"https://openalex.org/keywords/supersingular-elliptic-curve","display_name":"Supersingular elliptic curve","score":0.43708330392837524},{"id":"https://openalex.org/keywords/algebraic-number-field","display_name":"Algebraic number field","score":0.423589825630188},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4131552577018738},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36638182401657104},{"id":"https://openalex.org/keywords/quarter-period","display_name":"Quarter period","score":0.19347351789474487},{"id":"https://openalex.org/keywords/surgery","display_name":"Surgery","score":0.03584164381027222}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8742241859436035},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.8152190446853638},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.7197613716125488},{"id":"https://openalex.org/C87905105","wikidata":"https://www.wikidata.org/wiki/Q5284582","display_name":"Division polynomials","level":5,"score":0.509088933467865},{"id":"https://openalex.org/C121444067","wikidata":"https://www.wikidata.org/wiki/Q2835817","display_name":"Schoof's algorithm","level":4,"score":0.4656195640563965},{"id":"https://openalex.org/C157567686","wikidata":"https://www.wikidata.org/wiki/Q7644139","display_name":"Supersingular elliptic curve","level":3,"score":0.43708330392837524},{"id":"https://openalex.org/C12657307","wikidata":"https://www.wikidata.org/wiki/Q616608","display_name":"Algebraic number field","level":2,"score":0.423589825630188},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4131552577018738},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36638182401657104},{"id":"https://openalex.org/C197875053","wikidata":"https://www.wikidata.org/wiki/Q7269266","display_name":"Quarter period","level":3,"score":0.19347351789474487},{"id":"https://openalex.org/C141071460","wikidata":"https://www.wikidata.org/wiki/Q40821","display_name":"Surgery","level":1,"score":0.03584164381027222},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/mcom/3012","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3012","pdf_url":"https://www.ams.org/mcom/2016-85-299/S0025-5718-2015-03012-9/S0025-5718-2015-03012-9.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1090/mcom/3012","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3012","pdf_url":"https://www.ams.org/mcom/2016-85-299/S0025-5718-2015-03012-9/S0025-5718-2015-03012-9.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1916232169.pdf","grobid_xml":"https://content.openalex.org/works/W1916232169.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W119938630","https://openalex.org/W859353257","https://openalex.org/W1516129493","https://openalex.org/W1529471319","https://openalex.org/W1604766798","https://openalex.org/W1974526660","https://openalex.org/W1979462017","https://openalex.org/W1983874157","https://openalex.org/W1990539329","https://openalex.org/W2016828499","https://openalex.org/W2037621428","https://openalex.org/W2041021932","https://openalex.org/W2042927258","https://openalex.org/W2046703146","https://openalex.org/W2055661520","https://openalex.org/W2059354441","https://openalex.org/W2067689869","https://openalex.org/W2089561468","https://openalex.org/W2126149388","https://openalex.org/W2626535728","https://openalex.org/W2744937139","https://openalex.org/W2751801461","https://openalex.org/W2809440097","https://openalex.org/W3099442654","https://openalex.org/W3100502141","https://openalex.org/W4249711161"],"related_works":["https://openalex.org/W74147110","https://openalex.org/W2548082687","https://openalex.org/W2964131781","https://openalex.org/W3172172454","https://openalex.org/W1591034480","https://openalex.org/W1972565281","https://openalex.org/W2012248546","https://openalex.org/W4287990591","https://openalex.org/W1594576814","https://openalex.org/W2571860849"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"construct":[4],"infinite":[5],"families":[6],"of":[7],"elliptic":[8],"curves":[9],"with":[10],"given":[11],"torsion":[12],"group":[13],"structures":[14],"over":[15],"cyclic":[16],"cubic":[17],"number":[18],"fields.":[19]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
