Elliptic Curves over Finite Fields
In this chapter we carry further the algebraic theory of elliptic curves over fields of characteristic p > 0. We already know that the p-division points in characteristic p form a group isomorphic to Z/p Z or zero while the ℓ-division points form a group isomorphic to (Z/ℓ Z)2 for p ≠ ℓ. Moreover, the endomorphism algebra has rank 1 or 2 in characteristic 0 but possibly also rank 4 in characteristic p > 0.
KeywordsZeta Function Elliptic Curve Finite Field Elliptic Curf Abelian Variety
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