Torsion for CM Elliptic Curves Defined over Number Fields of Degree $2p$

Sums of two sixth powers

Holly Paige Chaos and Alexis Newton

November 13, 4-5 pm. Manchester 124.

In this talk, we will discuss the progress towards the classification of the torsion subgroups that arise for CM elliptic curves defined over number fields of degree $2p$.

In this talk, we will discuss the process for proving that $164634913$ is the smallest positive integer that is a sum of two rational sixth powers, but not a sum of two integer sixth powers.

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Last modified: Tuesday, 12-Nov-2019 08:48:26 EST