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Legendre Elliptic Curves over Finite Fields

โœ Scribed by Roland Auer; Jaap Top

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
138 KB
Volume
95
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

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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