2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61775We 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.Number Theorytext