## Defining parameters

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

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

Character orbit: | \([\chi]\) | \(=\) | 4235.j (of order \(4\) and degree \(2\)) |

Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 35 \) |

Character field: | \(\Q(i)\) | ||

Sturm bound: | \(1056\) |

## Dimensions

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

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

Modular forms | 1104 | 908 | 196 |

Cusp forms | 1008 | 836 | 172 |

Eisenstein series | 96 | 72 | 24 |

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

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

## Decomposition of \(S_{2}^{\mathrm{old}}(4235, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4235, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(35, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(385, [\chi])\)\(^{\oplus 2}\)