Counting elliptic curves with prescribed torsion over imaginary quadratic fields

Allechar Serrano Lopez, University of Utah
Tuesday, March 16, 2021 - 10:00am to 10:55am
Zoom
A generalization of Mazur's theorem states that there are 26 possibilities for the torsion subgroup of an elliptic curve over a quadratic extension of $\mathbb{Q}$. If $G$ is one of these groups, we count the number of elliptic curves of bounded naive height whose torsion subgroup is isomorphic to $G$ in the case of imaginary quadratic fields.
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