Legendre elliptic curves over finite fields
数论
2007-05-23 v1
摘要
We 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.
引用
@article{arxiv.math/0106273,
title = {Legendre elliptic curves over finite fields},
author = {Roland Auer and Jaap Top},
journal= {arXiv preprint arXiv:math/0106273},
year = {2007}
}