Article ID Journal Published Year Pages File Type
4593912 Journal of Number Theory 2014 6 Pages PDF
Abstract

Let E/KE/K be an elliptic curve with j-invariant 0 defined over a number field K. In this paper, we give a simple condition on K   which determines whether all cubic twists of E/KE/K have the same root number or not. This is a cubic twist analogue to the work [D-D] of Dokchitser and Dokchitser on quadratic twists of elliptic curves.

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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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Elliptic curves with all cubic twists of the same root number
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