Elliptic curves with conductor having $n$ prime factors

Dongho Byeon

Type: Article

Publication Date: 2022-01-01

Citations: 0

DOI: https://doi.org/10.4064/aa220119-27-4

Abstract

We prove that for any integer $n \ge 2$, there are infinitely many elliptic curves over $\mathbb {Q}$ with a rational point of order 2 (resp. 3) whose conductor is a square-free integer having $n$ prime factors.

Locations

Acta Arithmetica - View - PDF

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