This book contains a detailed account of the result of the author's recent Annals paper and JAMS paper on arithmetic invariant, including μ-invariant, L-invari

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the ar

In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, va

An introductory 1997 account in the style of the original discoverers, treating the fundamental themes even-handedly.

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the ar