Legendre elliptic curves over finite fields

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dc.creatorAuer, Roland
dc.creatorTop, Jaap
dc.date2001-06-22
dc.date.accessioned2026-07-07T04:42:25Z
dc.date.available2026-07-07T04:42:25Z
dc.descriptionWe show that every elliptic curve over a finite field of odd characteristic whose number of rational points is divisible by 4 is isogenous to an elliptic curve in Legendre form, with the sole exception of a minimal respectively maximal elliptic curve. We also collect some results concerning the supersingular Legendre parameters.
dc.identifierhttps://arxiv.org/abs/math/0106273
dc.identifierhttp://arxiv.org/abs/math/0106273
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61775
dc.subjectNumber Theory
dc.titleLegendre elliptic curves over finite fields
dc.typetext

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