Endomorphisms of Elliptic Curves

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

Abstract

The isomorphism classification of elliptic curves was carried out completely in terms of the Weierstrass equation with a minimum of algebraic geometry. This was possible because an isomorphism between two curves with equation in normal form is given by simple formulas. The situation with homorphisms is not so easy and more algebraic geometry is needed. The exception to this is multiplication by 2 and the 2-isogeny, see 4(5.2).

Keywords

Elliptic Curve Elliptic Curf Galois Group Abelian Variety Complex Torus 
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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