Navilarekallu, Tejaswi (2008) Equivariant Birch-Swinnerton-Dyer Conjecture for the Base Change of Elliptic Curves: An Example. In: International Mathematics Research Notices, 2008 . rnm164-1-rnm164-33.
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Abstract
Let E be an elliptic curve defined over Q and let K/Q be a finite Galois extension with Galois group G. The equivariant Birch-Swinnerton-Dyer conjecture for h(1)(E x(Q) K)(1) viewed as amotive over Q with coefficients in Q[G] relates the twisted L-values associated with E with the arithmetic invariants of the same. In this paper I prescribe an approach to verify this conjecture for a given data. Using this approach, we verify the conjecture for an elliptic curve of conductor 11 and an S-3-extension of Q.
Item Type: | Journal Article |
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Publication: | International Mathematics Research Notices |
Publisher: | Oxford University Press |
Additional Information: | Copyright of this article belongs to Oxford University Press. |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 01 May 2009 03:43 |
Last Modified: | 19 Sep 2010 05:29 |
URI: | http://eprints.iisc.ac.in/id/eprint/19679 |
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