At a prime of good reduction with residue characteristic , reduction is injective on the prime-to- torsion of an elliptic curve. Comparing reductions at two good primes therefore bounds rational torsion by finite point counts.

Ancestors (12)

  1. Reduction of an elliptic curve
  2. Minimal Weierstrass equation
  3. Weierstrass equation of an elliptic curve
  4. Elliptic curve
  5. Genus one curve
  6. Geometric genus
  7. Normalization of an algebraic curve
  8. Algebraic geometry
  9. Geometry and topology
  10. Area of mathematics
  11. Mathematics
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