Introduction to Elliptic Curves and Modular Forms

Graduate Texts in Mathematics #97

by Neal Koblitz

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.

Genres: Mathematics

262 pages, Hardcover

First published October 31, 1984

Reviews

[Wissam Raji]

One of the classics on the theory of elliptic curves and modular forms. It gives a nice introduction to the theory od Weierstrass elliptic curves, rational points on elliptic curves, and slightly advanced topics in the theory. One special aspect of this book is the smooth treatment of the theory of modular forms of half-integer weight.