The theory of elliptic curves and modular forms provides a fruitful
meeting ground for such diverse areas as number theory, complex
analysis, algebraic geometry, and representation theory. This book
starts out with a problem from elementary number theory and proceeds to
lead its reader into the modern theory, covering such topics as the
Hasse-Weil L-function and the conjecture of Birch and Swinnerton-Dyer.
This new edition details the current state of knowledge of elliptic
curves.

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