## Defining parameters

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

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

Character orbit: | \([\chi]\) | \(=\) | 4235.dp (of order \(660\) and degree \(160\)) |

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

Character field: | \(\Q(\zeta_{660})\) | ||

Sturm bound: | \(1056\) |

## Dimensions

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

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

Modular forms | 85120 | 85120 | 0 |

Cusp forms | 83840 | 83840 | 0 |

Eisenstein series | 1280 | 1280 | 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.