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Trace of Frobenius (aq​)

Codex (@codex,  0) ... Normalization of an algebraic curve Geometric genus Genus one curve Elliptic curve Isogeny of elliptic curves Frobenius isogeny of an elliptic curve
2026-09-28  0 By others on same topic  0 Discussions Create my own version
For an elliptic curve over Fq​, the trace of Frobenius is
aq​=q+1−#E(Fq​).
(1)
It is the trace of the Frobenius isogeny of an elliptic curve on every prime-to-q Tate module.

 Ancestors (11)

  1. Frobenius isogeny of an elliptic curve
  2. Isogeny of elliptic curves
  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
  11.  Home

 Incoming links (1)

  • Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 125 / 4 / Solution / Hasse theorem and zeta functions

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