{"id":"https://openalex.org/W2089022607","doi":"https://doi.org/10.1080/10586458.2001.10504464","title":"Elliptic Curves of High Rank with Nontrivial Torsion Group over Q","display_name":"Elliptic Curves of High Rank with Nontrivial Torsion Group over Q","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2089022607","doi":"https://doi.org/10.1080/10586458.2001.10504464","mag":"2089022607"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2001.10504464","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.2001.10504464","pdf_url":"https://www.tandfonline.com/doi/abs/10.1080/10586458.2001.10504464","source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.tandfonline.com/doi/abs/10.1080/10586458.2001.10504464","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080995924","display_name":"Leopoldo Kulesz","orcid":null},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4210141950"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Leopoldo Kulesz","raw_affiliation_strings":["UFR de math\u00e9matiques, Universit\u00e9 Paris 7 , 2 place Jussieu, F-75251 , Paris , France E-mail: kulesz@math.jussieu.fr"],"affiliations":[{"raw_affiliation_string":"UFR de math\u00e9matiques, Universit\u00e9 Paris 7 , 2 place Jussieu, F-75251 , Paris , France E-mail: kulesz@math.jussieu.fr","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I3017942884"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062642316","display_name":"Colin Stahlke","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Colin Stahlke","raw_affiliation_strings":["Mathematisches Institut der Universit\u00e4t Bonn , Beringstra\u00dfe 1, D-53115 , Bonn , Germany E-mail: colin@math.uni-bonn.de"],"affiliations":[{"raw_affiliation_string":"Mathematisches Institut der Universit\u00e4t Bonn , Beringstra\u00dfe 1, D-53115 , Bonn , Germany E-mail: colin@math.uni-bonn.de","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080995924"],"corresponding_institution_ids":["https://openalex.org/I204730241","https://openalex.org/I3017942884"],"apc_list":null,"apc_paid":null,"fwci":0.4766,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.64263158,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"10","issue":"3","first_page":"475","last_page":"480"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9976000189781189,"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/T10849","display_name":"Finite Group Theory Research","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.8548516631126404},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.7567886114120483},{"id":"https://openalex.org/keywords/torsion","display_name":"Torsion (gastropod)","score":0.7462327480316162},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6547550559043884},{"id":"https://openalex.org/keywords/torsion-subgroup","display_name":"Torsion subgroup","score":0.5107991695404053},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4687868356704712},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.44642943143844604},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.43109482526779175},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32214415073394775},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.15085631608963013},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1016608476638794},{"id":"https://openalex.org/keywords/elementary-abelian-group","display_name":"Elementary abelian group","score":0.05511993169784546}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8548516631126404},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.7567886114120483},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.7462327480316162},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6547550559043884},{"id":"https://openalex.org/C14669601","wikidata":"https://www.wikidata.org/wiki/Q2293759","display_name":"Torsion subgroup","level":4,"score":0.5107991695404053},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4687868356704712},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44642943143844604},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.43109482526779175},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32214415073394775},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.15085631608963013},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1016608476638794},{"id":"https://openalex.org/C81008192","wikidata":"https://www.wikidata.org/wiki/Q1017231","display_name":"Elementary abelian group","level":3,"score":0.05511993169784546},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C141071460","wikidata":"https://www.wikidata.org/wiki/Q40821","display_name":"Surgery","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10586458.2001.10504464","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.2001.10504464","pdf_url":"https://www.tandfonline.com/doi/abs/10.1080/10586458.2001.10504464","source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.em/1069786352","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.em/1069786352","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1080/10586458.2001.10504464","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.2001.10504464","pdf_url":"https://www.tandfonline.com/doi/abs/10.1080/10586458.2001.10504464","source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2089022607.pdf","grobid_xml":"https://content.openalex.org/works/W2089022607.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1272289568","https://openalex.org/W1599560007","https://openalex.org/W1981042805","https://openalex.org/W1995287332","https://openalex.org/W1997247724","https://openalex.org/W2027337441","https://openalex.org/W2039295200","https://openalex.org/W2045428835","https://openalex.org/W2053499741","https://openalex.org/W2055362738","https://openalex.org/W2798483379","https://openalex.org/W4253131219","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1998885149","https://openalex.org/W1888039291","https://openalex.org/W1944395271","https://openalex.org/W2336546597","https://openalex.org/W2950727034","https://openalex.org/W4292512307","https://openalex.org/W3011239213","https://openalex.org/W2964294552","https://openalex.org/W1961728431","https://openalex.org/W2963585122"],"abstract_inverted_index":{"We":[0,15],"construct":[1],"elliptic":[2],"curves":[3],"over":[4],"Q":[5],"of":[6],"high":[7],"Mordell-Weil":[8],"rank,":[9],"with":[10],"a":[11],"nontrivial":[12],"torsion":[13],"subgroup.":[14],"improve":[16],"the":[17,21],"rank":[18],"records":[19],"for":[20],"cases":[22],"Z/2Z":[23],"\u00d7":[24],"Z/2Z,":[25],"Z/3Z,":[26],"Z/4Z,":[27],"Z/5Z,":[28],"Z/6Z,":[29],"Z/7Z":[30],"and":[31],"Z/8Z.":[32]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}