Primary 11;

Secondary 11-04
abelian varieties,
computation, elliptic curves,
Hecke operators,
modular curves, modular forms, modular symbols, Manin
symbols, number theory

- Contents
- Preface
- The BSD Rank Conjecture
- Statement of the BSD Rank Conjecture
- The BSD Rank Conjecture Implies that is Computable
- The Complex -series
- Computing
- The -adic -series
- Computing

- The Birch and Swinnerton-Dyer Formula
- Galois Cohomology
- The Shafarevich-Tate Group
- The Birch and Swinnerton-Dyer Formula
- Examples: The Birch and Swinnerton-Dyer Formula
- The -adic BSD Conjectural Formula

- Heegner Points and Kolyvagin's Euler System
- CM Elliptic Curves
- Heegner Points
- Computing Heegner Points
- Kolyvagin's Euler System
- The Gross-Zagier Theorem

- Computational Verification of the Conjecture

- Bibliography
- Index
- About this document ...

William 2007-05-25