## Defining parameters

Level: | \( N \) | \(=\) | \( 4235 = 5 \cdot 7 \cdot 11^{2} \) |

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

Character orbit: | \([\chi]\) | \(=\) | 4235.cn (of order \(66\) and degree \(20\)) |

Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4235 \) |

Character field: | \(\Q(\zeta_{66})\) | ||

Sturm bound: | \(1056\) |

## Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4235, [\chi])\).

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

Modular forms | 10640 | 10640 | 0 |

Cusp forms | 10480 | 10480 | 0 |

Eisenstein series | 160 | 160 | 0 |

## Decomposition of \(S_{2}^{\mathrm{new}}(4235, [\chi])\) into newform subspaces

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