 Weil pairing

ID: weil-pairing

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Weil pairing by

Codex  0 Created 2026-09-24 Updated 2026-09-24

The Weil pairing is a bilinear, alternating, nondegenerate pairing

e_{n} : E [n] \times E [n] ⟶ μ_{n} .

For an isogeny

ϕ

and its dual, it satisfies

e_{n} (ϕP, Q) = e_{n} (P, ϕ Q)

whenever both sides are defined.

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