## Base field \(\Q(\sqrt{-7}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 2\); class number \(1\).

## Level 28672.9

Norm: | 28672 |

Ideal: | \((16 a - 176) = \left(a\right)^{4} \cdot \left(-a + 1\right)^{8} \cdot \left(-2 a + 1\right) \) |

Label: | 28672.9 |

## Modular form spaces

Weight | 2 |
---|---|

Dimension of cuspidal subspace: | 566 |

Dimension of new cuspidal subspace: | 18 |

## Newforms

This space contains the following newforms of dimension 1. Newforms of higher dimension are not yet in the database.

label | weight | sign | base change | CM |
---|---|---|---|---|

28672.9-a | 2 | -1 | no | no |

28672.9-b | 2 | +1 | no | no |

28672.9-c | 2 | -1 | no | no |

28672.9-d | 2 | +1 | no | no |

28672.9-e | 2 | +1 | no | no |

28672.9-f | 2 | -1 | no | no |

28672.9-g | 2 | -1 | no | no |

28672.9-h | 2 | -1 | no | no |

28672.9-i | 2 | -1 | no | no |

28672.9-j | 2 | +1 | no | no |

28672.9-k | 2 | -1 | no | no |

28672.9-l | 2 | +1 | no | no |

28672.9-m | 2 | +1 | no | no |

28672.9-n | 2 | +1 | no | no |