Rational Points on Elliptic Curves

• Main Authors: Silverman, Joseph H. (Author), Tate, John T. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 2nd ed. 2015.
• Series: Undergraduate Texts in Mathematics,
• Subjects: Mathematics.; Data structures (Computer science).; Algebraic geometry.; Number theory.; Algebraic Geometry.; Number Theory.; Data Structures, Cryptology and Information Theory.

The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic theory, thereby providing an opportunity for advanced undergraduates to appreciate the unity of modern mathematics. At the same time,...

Table of Contents:

• Introduction
• Geometry and Arithmetic
• Points of Finite Order
• The Group of Rational Points
• Cubic Curves over Finite Fields
• Integer Points on Cubic Curves
• Complex Multiplication.