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On the Quadratic Twists of a Family of Elliptic Curves
Published online by Cambridge University Press: 21 December 2009
Abstract
In this paper is considered the average size of the 2-Selmer groups of a class of quadratic twists of each elliptic curve over ℚ with ℚ-torsion group ℤ2 × ℤ2. The existence is shown of a positive proportion of quadratic twists of such a curve, each of which has rank 0 Mordell-Weil group.
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- Copyright © University College London 2005
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