Browsing by Author "Kane, Daniel M"

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• On the $\phi$-Selmer groups of the elliptic curves y$^2$ = x$^3$ - Dx ﻿

(Cambridge University PressMathematical Proceedings of the Cambridge Philosophical Society, 2016-09-09)
We study the variation of the $\phi$-Selmer groups of the elliptic curves y$^2$ = x$^3$ − Dx under quartic twists by square-free integers. We obtain a complete description of the distribution of the size of this group when ...