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The Arithmetic of Elliptic Curves /

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The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. The b...

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Bibliographic Details
Main Author: Silverman, Joseph H.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1986.
Series:Graduate texts in mathematics ; 106.
Subjects:
Mathematics.
Algebra.
Number theory.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Algebraic Varieties
  • Algebraic Curves
  • The Geometry of Elliptic Curves
  • The Formal Group of an Elliptic Curve
  • Elliptic Curves over Finite Fields
  • Elliptic Curves over C
  • Elliptic Curves over Local Fields
  • Elliptic Curves over Global Fields
  • Integral Points on Elliptic Curves
  • Computing the Mordell-Weil Group
  • Appendix A: Elliptic Curves in Characteristics 2 and 3.
  • Appendix B: Group Cohomology (H0 and H1)
  • Appendix C.: Further Topics: An Overview
  • Notes on Exercises
  • Bibliography
  • List of Notation
  • Index.