On Tate-Shafarevich groups of some elliptic curves

dc.creatorLemmermeyer, Franz
dc.date1999-03-18
dc.date.accessioned2026-07-07T05:28:34Z
dc.date.available2026-07-07T05:28:34Z
dc.descriptionThis is an updated version of ANT-0166. Generalizing results of Stroeker and Top we show that the 2-ranks of the Tate-Shafarevich groups of the elliptic curves $y^2 = (x+k)(x^2+k^2)$ can become arbitrarily large. We also present a conjecture on the rank of the Selmer groups attached to rational 2-isogenies of elliptic curves.
dc.identifierhttps://arxiv.org/abs/math/9903208
dc.identifierhttp://arxiv.org/abs/math/9903208
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78309
dc.subjectNumber Theory
dc.titleOn Tate-Shafarevich groups of some elliptic curves
dc.typetext

Files

Collections