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Counting elliptic curves with an isogeny of degree three

  • Published:2020-03-04 Issue:3 Volume:7 Page:28-42
  • ISSN:2330-1511
  • Container-title:Proceedings of the American Mathematical Society, Series B
  • language:en
  • Short-container-title:Proc. Amer. Math. Soc. Ser. B

Author:

Pizzo Maggie,Pomerance Carl,Voight John

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

General Medicine

Reference8 articles.

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2. A formula for the number of elliptic curves with exceptional primes;Grant, David;Compositio Math.,2000

3. Counting elliptic curves with prescribed torsion;Harron, Robert;J. Reine Angew. Math.,2017

4. The Magma algebra system. I. The user language;Bosma, Wieb;J. Symbolic Comput.,1997

5. Modular curves and the Eisenstein ideal;Mazur, B.;Inst. Hautes \'{E}tudes Sci. Publ. Math.,1977

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1. Counting elliptic curves with a rational N-isogeny for small N;Journal of Number Theory;2024-09

2. Counting elliptic curves over the rationals with a 7-isogeny;Research in Number Theory;2023-10-31

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4. On a probabilistic local-global principle for torsion on elliptic curves;Journal de théorie des nombres de Bordeaux;2022-07-07

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