TY - BOOK AU - Joseph H Silverman. AU - Joseph H Silverman. TI - The arithmetic of elliptic curves T2 - Graduate texts in mathematics SN - 9781441918581 U1 - 516.35 SIL PY - 1986/// CY - New York PB - : Springer-Verlag KW - Mathematics KW - Arithmetic KW - Algebra KW - Courbes elliptiques N1 - Algebraic Varieties.- Algebraic Curves.- The Geometry of Elliptic Curves.- The Formal Group of Elliptic Curves.- 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.-Appendix B: Group Cohomology (H0 and H1) N2 - This textbook treats the arithmetic theory of elliptic curves in its modern formulation, utilizing basic algebraic number theory and algebraic geometry. Following a discussion of the basic algebraic-geometric results, it covers such topics as complex numbers, local fields and global fields ER -