Legendre Elliptic Curves over Finite Fields |
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Authors: | Roland AuerJaap Top |
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Institution: | Vakgroep Wiskunde RuG, 800, 9700, AV, Groningen, The Netherlandsf1auer@math.rug.nlf1f2top@math.rug.nlf2 |
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Abstract: | 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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