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arXiv 2009-01-24 0 views

Tate Safarevich groups of elliptic curves with complex multiplication

Coates, J. · Liang, Z. · Sujatha, R.

Original · EN

We show that the number of copies of Qₚ/ Zₚ in the Tate-Shafarevich group of an elliptic curve E over Q with complex multipication, is at most 2p - g, where g is the rank of E(Q), and for all sufficiently large good ordinary primes p.

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