## Defining parameters

Level: | \( N \) | \(=\) | \( 1089 = 3^{2} \cdot 11^{2} \) |

Weight: | \( k \) | \(=\) | \( 1 \) |

Character orbit: | \([\chi]\) | \(=\) | 1089.p (of order \(22\) and degree \(10\)) |

Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 121 \) |

Character field: | \(\Q(\zeta_{22})\) | ||

Newform subspaces: | \( 0 \) | ||

Sturm bound: | \(132\) | ||

Trace bound: | \(0\) |

## Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(1089, [\chi])\).

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

Modular forms | 40 | 10 | 30 |

Cusp forms | 0 | 0 | 0 |

Eisenstein series | 40 | 10 | 30 |

The following table gives the dimensions of subspaces with specified projective image type.

\(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
---|---|---|---|---|

Dimension | 0 | 0 | 0 | 0 |