Some Rank Records for Elliptic Curves with Prescribed Torsion Over Quadratic Fields

Filip Najman

doi:10.2478/auom-2014-0017

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Some Rank Records for Elliptic Curves with Prescribed Torsion Over Quadratic Fields

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 22 (2014): Issue 1 (March 2014)

By: Filip Najman

Open Access

|Dec 2014

Abstract

In this paper we construct elliptic curves over quadratic fields with prescribed torsion group and record rank. We do this using theoretical arguments and keeping lengthy computations to a minimum.

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