A Summary of the Cm Theory of Elliptic Curves

Abstract

The purpose of this expository paper is to describe some part of the intimate connection between this analytic function, the theory of elliptic curves with complex multiplication, and the algebraic number theory of imaginary quadratic fields. In terms of prerequisites, we will assume some familiarity with the j-function and its connection with the analytic geometry of elliptic curves, some basic constructs from the algebraic geometry of elliptic curves, and a knowledge of the tools of class field theory. We follow the relevant sections of [11] and [12, §II] closely.

Cite this paper

@inproceedings{Getz2004ASO, title={A Summary of the Cm Theory of Elliptic Curves}, author={Jayce Getz}, year={2004} }