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