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- W4297695718 abstract "Let $ell geq 5$ be a prime and let $N$ be a square-free integer prime to $ell$. For each prime $p$ dividing $N$, let $a_p$ be either $1$ or $-1$. We give sufficient criteria for the existence of a newform $f$ of weight 2 for $Gamma_0(N)$ such that the mod $ell$ Galois representation attached to $f$ is reducible and $U_p f = a_p f$ for primes $p$ dividing $N$. The main techniques used are level raising methods based on an exact sequence due to Ribet." @default.
- W4297695718 created "2022-09-30" @default.
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- W4297695718 date "2014-09-29" @default.
- W4297695718 modified "2023-09-25" @default.
- W4297695718 title "Non-optimal levels of a reducible mod l modular representation" @default.
- W4297695718 doi "https://doi.org/10.48550/arxiv.1409.8342" @default.
- W4297695718 hasPublicationYear "2014" @default.
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