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- W1567494235 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.
- W1567494235 created "2016-06-24" @default.
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- W1567494235 date "2013-09-15" @default.
- W1567494235 modified "2023-10-18" @default.
- W1567494235 title "On the modularity of reducible mod l Galois representations" @default.
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