## Counting elliptic curves with an isogeny of degree three

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Maggie Pizzo, Carl Pomerance and John Voight
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**7**(2020), 28-42

## Abstract:

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

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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
- 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
- © Copyright 2020 by the authors under Creative Commons Attribution 3.0 License (CC BY 3.0)
- 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
- MathSciNet review: 4071798