Corpus ID: 119295934

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

@article{Buzzard2012ComputingWO,
  title={Computing weight one modular forms over \$\C\$ and \$\Fpbar\$},
  author={Kevin Buzzard},
  journal={arXiv: Number Theory},
  year={2012}
}
  • Kevin Buzzard
  • Published 23 May 2012
  • Mathematics
  • arXiv: Number Theory
We report on a systematic computation of weight one cuspidal eigenforms for the group $\Gamma_1(N)$ 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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