Legendre elliptic curves over finite fields

Details Legendre elliptic curves over finite fields Legendre elliptic curves over finite fields

2001-06-22

arxiv.org/abs/math/0106273v1

Mathematics

Number Theory

Scientific paper

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.

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