Elliptic Curves, Galois Representations, and $ L$-functions

This chapter is about elliptic curves and the central role they play in algebraic number theory. Our approach will be less systematic and more a survey than the most of the rest of this book. The goal is to give you a glimpse of the forefront of research by assuming many basic facts that can be found in other books (see, e.g., [Sil92]).


William Stein 2012-09-24