3 papers
math.NT2025
Computing Selmer groups associated to mod p Galois representations
Lewis Combes
We present methods to compute Selmer groups associated to mod p Galois representations rho over a number field K, with a particular focus on comparing their ranks with periods comi…
math.GR2024
Creating a dynamic database of finite groups
Lewis Combes, John W. Jones, Jennifer Paulhus +3
A database of abstract groups has been added to the L-functions and Modular Forms Database (LMFDB), available at https://www.lmfdb.org/Groups/Abstract/. We discuss the functionalit…
math.NT2024
Expressions for weight 2 cusp forms in holomorphic eta quotients
Elisabeth Chan, Lewis Combes
We attempt to compute expressions in terms of the Dedekind eta function for all weight 2 new cusp forms with level up to 100, using methods of Allen et. al. In cases where no expre…