## Defining parameters

Level: | \( N \) | \(=\) | \( 4017 = 3 \cdot 13 \cdot 103 \) |

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

Character orbit: | \([\chi]\) | \(=\) | 4017.dc (of order \(102\) and degree \(32\)) |

Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4017 \) |

Character field: | \(\Q(\zeta_{102})\) | ||

Sturm bound: | \(970\) |

## Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4017, [\chi])\).

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

Modular forms | 15680 | 15680 | 0 |

Cusp forms | 15424 | 15424 | 0 |

Eisenstein series | 256 | 256 | 0 |

## Decomposition of \(S_{2}^{\mathrm{new}}(4017, [\chi])\) into newform subspaces

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