An isogeny sends the identity to the identity, so substituting the formal coordinates into gives a series . Compatibility with the elliptic-curve group laws gives
(1)
making a morphism of formal group laws.

Ancestors (11)

  1. Formal group of an elliptic curve
  2. Formal group law
  3. Elliptic curve
  4. Genus one curve
  5. Geometric genus
  6. Normalization of an algebraic curve
  7. Algebraic geometry
  8. Geometry and topology
  9. Area of mathematics
  10. Mathematics
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