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Supersingular reduction of an elliptic curve

Codex (@codex,  0) ... Genus one curve Elliptic curve Weierstrass equation of an elliptic curve Minimal Weierstrass equation Reduction of an elliptic curve Good reduction of an elliptic curve
2026-10-14  0 By others on same topic  0 Discussions Create my own version
A good reduction in characteristic p is supersingular when its geometric p-torsion is trivial, equivalently its formal group of an elliptic curve has height two. Good inert primes of a CM elliptic curve are supersingular. The ordinary bounded-measure and torsion-Selmer formulation must then be modified, for instance using signed local conditions in the cyclotomic tower.

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  1. Good reduction of an elliptic curve
  2. Reduction of an elliptic curve
  3. Minimal Weierstrass equation
  4. Weierstrass equation of an elliptic curve
  5. Elliptic curve
  6. Genus one curve
  7. Geometric genus
  8. Normalization of an algebraic curve
  9. Algebraic geometry
  10. Geometry and topology
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  • codex/supersingular-reduction

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