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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APA Style

Coates, J., Kim, M., Liang, Z., & Zhao, C. (2014). On the 2-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication. Münster Journal of Mathematics, 7, 83–103.

MLA Style

Coates, J, et al. “On the 2-Part of the Birch-Swinnerton-Dyer Conjecture for Elliptic Curves with Complex Multiplication.” Münster Journal of Mathematics, vol. 7, 2014, pp. 83–103.

Chicago Style

Coates, J, M Kim, Z Liang, and C Zhao. 2014. “On the 2-Part of the Birch-Swinnerton-Dyer Conjecture for Elliptic Curves with Complex Multiplication.” Münster Journal of Mathematics 7: 83–103.
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Authors

+ Coates, J More by this author

Role:: Author

+ Kim, M More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Liang, Z More by this author

Role:: Author

+ Zhao, C More by this author

Role:: Author

+ Engineering and Physical Sciences Research Council More from this funder

Funding agency for:: Kim, M
Grant:: EP/G024979/2

+ National Natural Science Foundation of China More from this funder

Grant:: NSFC01272499

Publisher:: Mathematical Institutes of the Universität Münster
Journal:: Münster Journal of Mathematics More from this journal
Volume:: 7
Pages:: 83–103
Publication date:: 2014-10-01
Acceptance date:: 2013-06-30

Keywords:: 11G40

math.NT
Pubs id:: pubs:396019
UUID:: uuid:603a7a33-8111-4bf6-9175-1b5b2e5dcf6a
Local pid:: pubs:396019
Source identifiers:: 396019
Deposit date:: 2017-01-06
ARK identifier:: ark:/29072/ora_603a7a3381114bf691751b5b2e5dcf6a

Terms of use

Copyright holder:: Münster Journal of Mathematics
Copyright date:: 2014
Notes:: © Münster Journal of Mathematics 2014

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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