Legendre elliptic curves over finite fields, by Roland Auer and Jaap Top
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
Roland Auer and Jaap Top <firstname.lastname@example.org,email@example.com>