dc.contributor.author | Bruin, Peter | |
dc.contributor.author | Najman, Filip | |
dc.date.accessioned | 2017-01-05T17:54:02Z | |
dc.date.available | 2017-01-05T17:54:02Z | |
dc.date.issued | 2016-01 | |
dc.date.submitted | 2015-06 | |
dc.identifier.issn | 2363-9555 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/106205 | |
dc.description.abstract | We 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.publisher | Springer International Publishing | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1007/s40993-015-0031-5 | en_US |
dc.rights | Creative Commons Attribution | en_US |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | en_US |
dc.source | Springer International Publishing | en_US |
dc.title | A criterion to rule out torsion groups for elliptic curves over number fields | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Bruin, 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.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
dc.contributor.mitauthor | Najman, Filip | |
dc.relation.journal | Research in Number Theory | en_US |
dc.eprint.version | Final published version | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dc.date.updated | 2016-05-23T09:38:32Z | |
dc.language.rfc3066 | en | |
dc.rights.holder | The Author(s) | |
dspace.orderedauthors | Bruin, Peter; Najman, Filip | en_US |
dspace.embargo.terms | N | en_US |
mit.license | PUBLISHER_CC | en_US |