Arithmetic Theory of Elliptic Curves Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)held in Cetaro, Italy, July 12-19, 1997 /

• Main Authors: Coates, J. (Author, http://id.loc.gov/vocabulary/relators/aut), Greenberg, R. (http://id.loc.gov/vocabulary/relators/aut), Ribet, K.A (http://id.loc.gov/vocabulary/relators/aut), Rubin, K. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Viola, C. (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
• Edition: 1st ed. 1999.
• Series: C.I.M.E. Foundation Subseries ; 1716
• Subjects: Number theory.; Algebraic geometry.; Number Theory.; Algebraic Geometry.

This volume contains the expanded versions of the lectures given by the authors at the C.I.M.E. instructional conference held in Cetraro, Italy, from July 12 to 19, 1997. The papers collected here are broad surveys of the current research in the arithmetic of elliptic curves, and also contain severa...

Table of Contents:

• Fragments of the GL2 Iwasawa theory of elliptic curves without complex multiplication
• Iwasawa theory for elliptic curves
• Torsion points on J 0(N) and Galois representations
• Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer.