Torsion for CM elliptic curves defined over number fields of degree 2p
Abstract
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.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.07819
 Bibcode:
 2021arXiv211007819B
 Keywords:

 Mathematics  Number Theory;
 Mathematics  Algebraic Geometry;
 11G15;
 11G05