## Defining parameters

Level: | \( N \) | \(=\) | \( 6001 = 17 \cdot 353 \) |

Weight: | \( k \) | \(=\) | \( 2 \) |

Character orbit: | \([\chi]\) | \(=\) | 6001.m (of order \(8\) and degree \(4\)) |

Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 6001 \) |

Character field: | \(\Q(\zeta_{8})\) | ||

Sturm bound: | \(1062\) |

## Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6001, [\chi])\).

Total | New | Old | |
---|---|---|---|

Modular forms | 2136 | 2136 | 0 |

Cusp forms | 2120 | 2120 | 0 |

Eisenstein series | 16 | 16 | 0 |

## Decomposition of \(S_{2}^{\mathrm{new}}(6001, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.