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Elliptic Curves over Finite Fields

  • Dale Husemöller
Part of the Graduate Texts in Mathematics book series (GTM, volume 111)

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 -division points form a group isomorphic to (Z/ Z)2 for p. Moreover, the endomorphism algebra has rank 1 or 2 in characteristic 0 but possibly also rank 4 in characteristic p > 0.

Keywords

Zeta Function Elliptic Curve Finite Field Elliptic Curf Abelian Variety 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • Dale Husemöller
    • 1
  1. 1.Department of MathematicsHaverford CollegeHaverfordUSA

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