A formula for the Selmer group of a rational three-isogeny

A formula is given for the dimension of the Selmer group of the rational three-isogeny of elliptic curves of the form y^2=x^3+a(x-b)^2. The formula is in terms of the three-ranks of the quadratic number fields Q(\sqrt{a}) and Q(\sqrt{-3a}) and various aspects of the arithmetic of these number fields...

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Veröffentlicht in:	arXiv.org 1999-06
1. Verfasser:	DeLong, Matt
Format:	Artikel
Sprache:	eng
Schlagworte:	Chemical industry Curves Duality theorem Number theory
Online-Zugang:	Volltext
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