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dc.contributor.authorBruin, Peter
dc.contributor.authorNajman, Filip
dc.date.accessioned2017-01-05T17:54:02Z
dc.date.available2017-01-05T17:54:02Z
dc.date.issued2016-01
dc.date.submitted2015-06
dc.identifier.issn2363-9555
dc.identifier.urihttp://hdl.handle.net/1721.1/106205
dc.description.abstractWe present a criterion for proving that certain groups of the form \(\mathbb {Z}/m\mathbb {Z}\oplus \mathbb {Z}/n\mathbb {Z}\) do not occur as the torsion subgroup of any elliptic curve over suitable (families of) number fields. We apply this criterion to eliminate certain groups as torsion groups of elliptic curves over cubic and quartic fields. We also use this criterion to give the list of all torsion groups of elliptic curves occurring over a specific cubic field and over a specific quartic field.en_US
dc.publisherSpringer International Publishingen_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/s40993-015-0031-5en_US
dc.rightsCreative Commons Attributionen_US
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en_US
dc.sourceSpringer International Publishingen_US
dc.titleA criterion to rule out torsion groups for elliptic curves over number fieldsen_US
dc.typeArticleen_US
dc.identifier.citationBruin, Peter, and Filip Najman. “A Criterion to Rule out Torsion Groups for Elliptic Curves over Number Fields.” Research in Number Theory 2.1 (2016): n. pag.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.mitauthorNajman, Filip
dc.relation.journalResearch in Number Theoryen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2016-05-23T09:38:32Z
dc.language.rfc3066en
dc.rights.holderThe Author(s)
dspace.orderedauthorsBruin, Peter; Najman, Filipen_US
dspace.embargo.termsNen_US
mit.licensePUBLISHER_CCen_US


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