TY  - GEN
AU  - Silverman, Joseph H.
TI  - Advanced topics in the arithmetic of elliptic curves
SN  - 9780387943282
U1  - 516.35 SIL 
PY  - 1994///
CY  - New York
PB  - Springer
KW  - Arithmetic
KW  - Curves, Algebraic
KW  - Courbes Elliptiques
KW  - Curves, Elliptic
KW  -  Algebraic Geometry.
KW  - Number Theory
KW  - Geometry, Algebraic
KW  - Mathematics
KW  - Curves, Elliptic.
KW  - Curves, Algebraic.
N2  - The Arithmetic of Elliptic Curves, the author presented the 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 specialized topics: I. Elliptic and modular functions for the full modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. Néron 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. Néron's theory of canonical local height functions.
ER  -