## 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.