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Elliptic Curves and Modular Forms

Published online by Cambridge University Press:  20 November 2018

M. Ram Murty
M. Ram Murty*
Affiliation:
McGill University, Montréal, Québec
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Abstract

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This is a survey of some recent developments in the theory of elliptic curves. After an informal discussion of the main theorems of the arithmetic side of the theory and the open problems confronting the subject, we describe the recent work of K. Rubin, V. Koly vagin, K. Murty and the author which establishes the finiteness of the Shafarevic-Tate group for modular elliptic curves of rank zero and one.

Keywords

11G0511G40

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 3 , 01 September 1991, pp. 375 - 384
Copyright
Copyright © Canadian Mathematical Society 1991

References

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