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Mathematics / Analytic number theory / Number theory / Mathematical analysis / Elliptic curves / Conjectures / Diophantine geometry / Millennium Prize Problems / Birch and Swinnerton-Dyer conjecture / Rank of an elliptic curve / Modular form / Riemann hypothesis
Date: 2001-03-31 11:30:21
Mathematics
Analytic number theory
Number theory
Mathematical analysis
Elliptic curves
Conjectures
Diophantine geometry
Millennium Prize Problems
Birch and Swinnerton-Dyer conjecture
Rank of an elliptic curve
Modular form
Riemann hypothesis

Introduction The present work grew out of an entirely unsuccessful attempt to answer some basic questions about elliptic curves over $. Start with an elliptic curve E over $, say given by a Weierstrass equation E: y2 = 4

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