Seminario Teoría de Números UAM-ICMAT

Title: Torsion groups of Mordell curves over cubic and sextic fields

SPEAKER: Bidisha Roy (Harish-Chandra Research Institute, India)

DATE & TIME: Friday, 25th October 2019 - 10:00 

VENUE: Aula 420, Módulo 17, Departamento de Matemáticas, UAM

ORGANISER: UAM - ICMAT

Abstract: Computing the torsion groups of elliptic curves defined over
number fields is a classical topic and it has a vast literature in
algebraic number theory. Any elliptic curve of the form y2 = x3 + c is
called Mordell curve. We know that the Mordell curve is a well-studied
curve in the family of CM-elliptic curves.

In this talk, we will discuss the classification of torsion groups of
rational Mordell Curves explicitly over cubic fields as well as over
sextic fields. Also, we present the classification of torsion groups
of Mordell Curves over cubic fields. For Mordell curves over sextic
fields, we provide all possible torsion groups. This is a joint work
with Pallab Kanti Dey.