## Defining parameters

Level: | \( N \) | = | \( 6048 = 2^{5} \cdot 3^{3} \cdot 7 \) |

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

Character orbit: | \([\chi]\) | = | 6048.hd (of order \(24\) and degree \(8\)) |

Character conductor: | \(\operatorname{cond}(\chi)\) | = | \( 2016 \) |

Character field: | \(\Q(\zeta_{24})\) | ||

Sturm bound: | \(2304\) |

## Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6048, [\chi])\).

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

Modular forms | 9312 | 3104 | 6208 |

Cusp forms | 9120 | 3040 | 6080 |

Eisenstein series | 192 | 64 | 128 |

## Decomposition of \(S_{2}^{\mathrm{new}}(6048, [\chi])\) into newform subspaces

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

## Decomposition of \(S_{2}^{\mathrm{old}}(6048, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6048, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2016, [\chi])\)\(^{\oplus 2}\)