Counting elliptic curves with an isogeny of degree three

Authors:
Maggie Pizzo, Carl Pomerance and John Voight

Journal:
Proc. Amer. Math. Soc. Ser. B **7** (2020), 28-42

MSC (2010):
Primary 11G05; Secondary 14H52

DOI:
https://doi.org/10.1090/bproc/45

Published electronically:
March 4, 2020

MathSciNet review:
4071798

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Abstract | References | Similar Articles | Additional Information

Abstract: We count by height the number of elliptic curves over $\mathbb {Q}$ that possess an isogeny of degree $3$.

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Additional Information

**Maggie Pizzo**

Affiliation:
Department of Mathematics, Dartmouth College, Hanover, New Hampshire 03755

Email:
magdalene.r.pizzo.19@dartmouth.edu

**Carl Pomerance**

Affiliation:
Department of Mathematics, Dartmouth College, Hanover, New Hampshire 03755

MR Author ID:
140915

Email:
carl.pomerance@dartmouth.edu

**John Voight**

Affiliation:
Department of Mathematics, Dartmouth College, Hanover, New Hampshire 03755

MR Author ID:
727424

ORCID:
0000-0001-7494-8732

Email:
jvoight@gmail.com

Keywords:
Elliptic curves

Received by editor(s):
July 5, 2019

Received by editor(s) in revised form:
December 13, 2019

Published electronically:
March 4, 2020

Additional Notes:
The first author was supported by the Jack Byrne Scholars program at Dartmouth College.

The third author was supported by a Simons Collaboration grant (550029).

Communicated by:
Rachel Pries

Article copyright:
© Copyright 2020
by the authors under
Creative Commons Attribution 3.0 License
(CC BY 3.0)