## Defining parameters

Level: | \( N \) | \(=\) | \( 4830 = 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |

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

Character orbit: | \([\chi]\) | \(=\) | 4830.do (of order \(132\) and degree \(40\)) |

Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2415 \) |

Character field: | \(\Q(\zeta_{132})\) | ||

Sturm bound: | \(2304\) |

## Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4830, [\chi])\).

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

Modular forms | 46720 | 15360 | 31360 |

Cusp forms | 45440 | 15360 | 30080 |

Eisenstein series | 1280 | 0 | 1280 |

## Decomposition of \(S_{2}^{\mathrm{new}}(4830, [\chi])\) into newform subspaces

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

## Decomposition of \(S_{2}^{\mathrm{old}}(4830, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4830, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2415, [\chi])\)\(^{\oplus 2}\)