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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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|
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