Level lowering modulo prime powers and twisted Fermat equations

Abstract

We discuss a clean level lowering theorem modulo prime powers for weight $2$ cusp forms. Furthermore, we illustrate how this can be used to completely solve certain twisted Fermat equations $a{x}^n+b{y}^n+c{z}^n=0$.

Cited by in corpus (4)

• On certain finiteness questions in the arithmetic of modular forms
• Filtrations of dc-weak eigenforms
• On modular Galois representations modulo prime powers
• Generalised Fermat equation: a survey of solved cases