## Defining parameters

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

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

Character orbit: | \([\chi]\) | = | 4033.bb (of order \(9\) and degree \(6\)) |

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

Character field: | \(\Q(\zeta_{9})\) | ||

Sturm bound: | \(696\) |

## Dimensions

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

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

Modular forms | 2088 | 2088 | 0 |

Cusp forms | 2064 | 2064 | 0 |

Eisenstein series | 24 | 24 | 0 |

## Decomposition of \(S_{2}^{\mathrm{new}}(4033, [\chi])\) into irreducible Hecke orbits

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