Endomorphisms of Elliptic Curves

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


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).


Elliptic Curve Elliptic Curf Galois Group Abelian Variety Complex Torus 
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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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