# Torsion for CM elliptic curves defined over number fields of degree 2p

@inproceedings{Bourdon2020TorsionFC, title={Torsion for CM elliptic curves defined over number fields of degree 2p}, author={Abbey Bourdon and Holly Paige Chaos}, year={2020} }

For a prime number p, we characterize the groups that may arise as torsion subgroups of an elliptic curve with complex multiplication defined over a number field of degree 2p. In particular, our work shows that a classification in the strongest sense is tied to determining whether there exist infinitely many Sophie Germain primes.

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