## Defining parameters

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

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

Character orbit: | \([\chi]\) | \(=\) | 4235.dc (of order \(165\) and degree \(80\)) |

Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 847 \) |

Character field: | \(\Q(\zeta_{165})\) | ||

Sturm bound: | \(1056\) |

## Dimensions

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

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

Modular forms | 42560 | 28160 | 14400 |

Cusp forms | 41920 | 28160 | 13760 |

Eisenstein series | 640 | 0 | 640 |

## 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

\( S_{2}^{\mathrm{old}}(4235, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(847, [\chi])\)\(^{\oplus 2}\)