Szpiro’s conjecture when the denominator of the \(j\)-invariant is small

Hector Pasten

doi:10.56754/0719-0646.2802.383

Authors

Hector Pasten Departamento de Matemáticas, Pontificia Universidad Católica de Chile. Facultad de Matemáticas, 4860 Av. Vicuña Mackenna, Macul, RM, Chile. https://orcid.org/0000-0002-7789-8459

DOI:

https://doi.org/10.56754/0719-0646.2802.383

Keywords:

Szpiro’s conjecture, elliptic curves, discriminant, conductor

Abstract

We prove Szpiro's conjecture for elliptic curves over the rationals having \(j\)-invariant with denominator of logarithmic size with respect to its numerator.

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