• Corpus ID: 239009804

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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