The Tate–Shafarevich group for elliptic curves with complex multiplication

Coatesa, J. ; Liangb, Z. ; Sujatha, R. (2009) The Tate–Shafarevich group for elliptic curves with complex multiplication Journal of Algebra, 322 (3). pp. 657-674. ISSN 0021-8693

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00218...

Related URL: http://dx.doi.org/10.1016/j.jalgebra.2009.04.039

Abstract

Let E be an elliptic curve over Q with complex multiplication. We give an explicit upper bound for the number of copies of Qp/Zp which can occur in the Tate–Shafarevich group of E for all sufficiently large good ordinary primes p.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Elliptic Curves; Algebraic Number Theory
ID Code:45261
Deposited On:25 Jun 2011 13:34
Last Modified:18 May 2016 01:34

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