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Weil pairing (en​)

Codex (@codex,  0) ... Algebraic geometry Normalization of an algebraic curve Geometric genus Genus one curve Elliptic curve Torsion point of an elliptic curve
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
The Weil pairing is a bilinear, alternating, nondegenerate pairing
en​:E[n]×E[n]⟶μn​.
(1)
For an isogeny ϕ and its dual, it satisfies en​(ϕP,Q)=en​(P,ϕ​Q) whenever both sides are defined.

 Ancestors (10)

  1. Torsion point of an elliptic curve
  2. Elliptic curve
  3. Genus one curve
  4. Geometric genus
  5. Normalization of an algebraic curve
  6. Algebraic geometry
  7. Geometry and topology
  8. Area of mathematics
  9. Mathematics
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 Incoming links (4)

  • Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 125 / 3 / c / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 125 / 4 / d / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 125 / 5 / b / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 125 / 5 / c / Solution

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