Author ORCID Identifier
Date of Award
Spring 2023
Document Type
Thesis (Ph.D.)
Department or Program
Mathematics
First Advisor
John Voight
Abstract
Using methods from analytic number theory, for m > 5 and for m = 4, we obtain asymptotics with power-saving error terms for counts of elliptic curves with a cyclic m-isogeny up to quadratic twist over the rational numbers. For m > 5, we then apply a Tauberian theorem to achieve asymptotics with power saving error for counts of elliptic curves with a cyclic m-isogeny up to isomorphism over the rational numbers.
Recommended Citation
Molnar, Grant S., "Counting elliptic curves with a cyclic m-isogeny over Q" (2023). Dartmouth College Ph.D Dissertations. 214.
https://digitalcommons.dartmouth.edu/dissertations/214