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Computing the rational torsion of an elliptic curve using Tate normal form

dc.creatorGarcía Selfa, Irenees
dc.creatorOlalla Acosta, Miguel Ángeles
dc.creatorTornero Sánchez, José Maríaes
dc.date.accessioned2016-06-07T08:52:44Z
dc.date.available2016-06-07T08:52:44Z
dc.date.issued2002-09
dc.identifier.citationGarcía Selfa, I., Olalla Acosta, M.Á. y Tornero Sánchez, J.M. (2002). Computing the rational torsion of an elliptic curve using Tate normal form. Journal of Number Theory, 96 (1), 76-88.
dc.identifier.issn1096-1658es
dc.identifier.urihttp://hdl.handle.net/11441/41952
dc.description.abstractIt is a classical result (apparently due to Tate) that all elliptic curves with a torsion point of order n (4 ≤ n ≤ 10, or n = 12) lie in a oneparameter family. However, this fact does not appear to have been used ever for computing the torsion of an elliptic curve. We present here a extremely down–to–earth algorithm using the existence of such a family.es
dc.description.sponsorshipJunta de Andalucíaes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherElsevieres
dc.relation.ispartofJournal of Number Theory, 96 (1), 76-88.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectelliptic curveses
dc.subjectrational pointses
dc.titleComputing the rational torsion of an elliptic curve using Tate normal formes
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de álgebraes
dc.relation.projectIDFQM 218es
dc.identifier.doihttp://dx.doi.org/10.1006/jnth.2002.2780es
idus.format.extent14 p.es
dc.journaltitleJournal of Number Theoryes
dc.publication.volumen96es
dc.publication.issue1es
dc.publication.initialPage76es
dc.publication.endPage88es
dc.relation.publicationplaceAmsterdames
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/41952
dc.contributor.funderJunta de Andalucía

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