期刊论文详细信息
JOURNAL OF ALGEBRA 卷:322
The Tate-Shafarevich group for elliptic curves with complex multiplication
Article
Coates, J.2  Liang, Z.3  Sujatha, R.1 
[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India
[2] Univ Cambridge, DPMMS, Ctr Math Sci, Cambridge CB3 0WB, England
[3] Capital Normal Univ, Sch Math Sci, Beijing, Peoples R China
关键词: Elliptic curves;    Algebraic number theory;   
DOI  :  10.1016/j.jalgebra.2009.04.039
来源: Elsevier
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【 摘 要 】

Let E be an elliptic curve over Q with complex multiplication. We give an explicit upper bound for the number of copies of Q(p)/Z(p) which can occur in the Tate-Shafarevich group of E for all sufficiently large good ordinary primes p. (C) 2009 Elsevier Inc. All rights reserved.

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