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

Abstract:
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 predicted by the conjecture of Birch and Swinnerton-Dyer.
Publication status:
Published
Peer review status:
Peer reviewed

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Mathematical Institutes of the Universität Münster Publisher's website
Journal:
Münster Journal of Mathematics Journal website
Volume:
7
Pages:
83–103
Publication date:
2013-03-21
EISSN:
1867-5786
ISSN:
1867-5778
Keywords:
Pubs id:
pubs:396019
UUID:
uuid:61b5d3aa-dc69-4eb6-8bce-591851e1561a
Local pid:
pubs:396019
Source identifiers:
396019
Deposit date:
2013-11-16

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