## Defining parameters

Level: | \( N \) | = | \( 4033 = 37 \cdot 109 \) |

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

Character orbit: | \([\chi]\) | = | 4033.hw (of order \(54\) and degree \(18\)) |

Character conductor: | \(\operatorname{cond}(\chi)\) | = | \( 4033 \) |

Character field: | \(\Q(\zeta_{54})\) | ||

Sturm bound: | \(696\) |

## Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4033, [\chi])\).

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

Modular forms | 6318 | 6318 | 0 |

Cusp forms | 6246 | 6246 | 0 |

Eisenstein series | 72 | 72 | 0 |

## Decomposition of \(S_{2}^{\mathrm{new}}(4033, [\chi])\) into newform subspaces

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