On the 2-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication

Given an elliptic curve E over Q with complex multiplication having good reduction at 2, we investigate the 2-adic valuation of the algebraic part of the L-value at 1 for a family of quadratic twists. In particular, we prove a lower bound for this valuation in terms of the Tamagawa number in a form...

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Bibliographic Details
Main Authors: Coates, J, Kim, M, Liang, Z, Zhao, C
Format: Journal article
Published: Mathematical Institutes of the Universität Münster 2014