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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 209 - Number Theory Seminar
Allechar Serrano Lopez
University of Utah
Counting elliptic curves with prescribed torsion over imaginary quadratic fields
Abstract:
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.
Host: Kiran Kedlaya
February 11, 2021
1:00 PM
See https://www.math.ucsd.edu/\~{}nts/
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