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Introduction to Elliptic Curves and Modular Forms
by Neal Koblitz
ISBN 0387960295 / 9780387960296 / 0-387-96029-5
Publisher Springer Verlag
List price $49.95
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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.[via]