Computing weight one modular forms over $\C$ and $\Fpbar$

preprint2016arXivOpen access

We report on a systematic computation of weight one cuspidal eigenforms for the group $Γ_1(N)$ in characteristic zero and in characteristic $p>2$ . Perhaps the most surprising result was the existence of a mod 199 weight~1 cusp form of level 82 which does not lift to characteristic zero.

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Computing weight one modular forms over $\C$ and $\Fpbar$

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