The Arithmetic of Quadratic Twists of Elliptic Curves

The Arithmetic of Quadratic Twists of Elliptic Curves

International Mathematical Union via YouTube Direct link

Intro

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1 of 13

Intro

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The Arithmetic of Quadratic Twists of Elliptic Curves

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  1. 1 Intro
  2. 2 The Congruent Number Problem
  3. 3 Quadratic twists of eliptic curves over 0
  4. 4 Conjectures on Leading terms of L-series under Quadratic Twist
  5. 5 Goldfeld Conjecture for CM Families
  6. 6 Equivalence relation for quadratic twist families
  7. 7 Elliptic curves with full rational 2-torsion
  8. 8 Distribution of 2-Selmer groups for type (A)
  9. 9 Distribution of 2-Selmer groups for type (B) and (C)
  10. 10 Kolyvagin's Question Now we are in the situation that
  11. 11 Modularity of Heegner cycles
  12. 12 Arithmetic Rallis inner product formula
  13. 13 Application to Kolyvagin's Problem

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