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- W4300790970 abstract "We prove that every odd semisimple reducible (2-dimensional) mod l Galois representation arises from a cuspidal eigenform. In addition, we investigate the possible different types (level, weight, character) of such a modular form. When the representation is the direct sum of the trivial character and a power of the mod l cyclotomic character, we are able to characterize the primes that can arise as levels of the associated newforms. As an application, we determine a new explicit lower bound for the highest degree among the fields of coefficients of newforms of trivial Nebentypus and prime level. The bound is valid in a subset of the primes with natural (lower) density at least one half." @default.
- W4300790970 created "2022-10-04" @default.
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- W4300790970 date "2013-09-14" @default.
- W4300790970 modified "2023-10-18" @default.
- W4300790970 title "On the modularity of reducible mod l Galois representations" @default.
- W4300790970 doi "https://doi.org/10.48550/arxiv.1309.3717" @default.
- W4300790970 hasPublicationYear "2013" @default.
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