Equivariant Birch-Swinnerton-Dyer Conjecture for the Base Change of Elliptic Curves: An Example

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
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.ernet.in/id/eprint/19679

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