The regulator is the determinant of the canonical-height pairing on a basis of the free part of the Mordell-Weil group. A unimodular basis change leaves it invariant.

Ancestors (11)

  1. Canonical height of an elliptic curve
  2. Naive height on the projective line
  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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