- 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
- Version:
- Publisher's version
- Files:
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(pdf, 242.3KB)
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- Funding agency for:
- Kim, M
- Publisher:
- Mathematical Institutes of the Universität Münster Publisher's website
- Journal:
- Münster Journal of Mathematics Journal website
- Volume:
- 7
- Pages:
- 83–103
- Publication date:
- 2014-10-05
- Pubs id:
-
pubs:396019
- URN:
-
uri:603a7a33-8111-4bf6-9175-1b5b2e5dcf6a
- UUID:
-
uuid:603a7a33-8111-4bf6-9175-1b5b2e5dcf6a
- Local pid:
- pubs:396019
- Copyright holder:
- Münster Journal of Mathematics
- Copyright date:
- 2014
- Notes:
- © Münster Journal of Mathematics 2014
Journal article
On the 2-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication
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+ Engineering and Physical Sciences Research Council
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