Publisher's Synopsis
In The Arithmetic of Elliptic Curves, the author presented basic theory culminating in two fundamental global results, the Mordell-Weil theorem on the finite generation of the group of rational points and Siegel's theorem on the finiteness of the set of integral points.;This book continues the study of elliptic curves by presenting six important, but somewhat more specialised topics: I. Elliptic and modular functions for the full modular group. Il. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialisation theorems. IV. Neron models, Kodaira-N ron classification of special fibres, Tate's algorithm, and Ogg's conductor-discriminant formula. V. Tate's theory of q-curves over p-adic fields. VI. Neron's theory of canonical local height functions.
