Journal article
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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Authors
Funding
+ Engineering and Physical Sciences Research Council
More from this funder
Funding agency for:
Kim, M
Grant:
EP/G024979/2
Bibliographic Details
- Publisher:
- Mathematical Institutes of the Universität Münster Publisher's website
- Journal:
- Münster Journal of Mathematics Journal website
- Volume:
- 7
- Pages:
- 83–103
- Publication date:
- 2014-10-01
- Acceptance date:
- 2013-06-30
- Source identifiers:
-
396019
Item Description
Terms of use
- Copyright holder:
- Münster Journal of Mathematics
- Copyright date:
- 2014
- Notes:
- © Münster Journal of Mathematics 2014
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