Computing mod ℓ Galois representations associated to modular forms for small primes
Publication Name
AIMS Mathematics
Abstract
In this paper, we propose an algorithm for computing mod ℓ Galois representations associated to modular forms of weight k when ℓ < k − 1. We also present the corresponding results for the projective Galois representations. Moreover, we apply our algorithms to explicitly compute the mod ℓ projective Galois representations associated to ∆k for k = 16, 20, 22, 26 and all the unexceptional primes ℓ, with ℓ < k − 1. As an application, for k = 16, 20, 22, 26, we obtain the new bounds Bk of n such that (Math Presents).
Open Access Status
This publication may be available as open access
Volume
8
Issue
12
First Page
28766
Last Page
28779
Funding Number
RGPIN-2019-04209
Funding Sponsor
Natural Sciences and Engineering Research Council of Canada