Wiese, Gabor[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2018
Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory
Böckle, Gebhard
Decker, Wolfram
Malle, Gunter
Springer
741-763
Yes
978-3-319-70565-1
[en] This article surveys modularity, level raising and level lowering questions for two-dimensional representations modulo prime powers of the absolute Galois group of the rational numbers. It contributes some new results and describes algorithms and a database of modular forms orbits and higher congruences.