Abstract
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.
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© 1987 Springer Science+Business Media New York
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Husemöller, D. (1987). Elliptic Curves over Finite Fields. In: Elliptic Curves. Graduate Texts in Mathematics, vol 111. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-5119-2_14
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DOI: https://doi.org/10.1007/978-1-4757-5119-2_14
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-5121-5
Online ISBN: 978-1-4757-5119-2
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