## Defining parameters

Level: | \( N \) | \(=\) | \( 5184 = 2^{6} \cdot 3^{4} \) |

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

Character orbit: | \([\chi]\) | \(=\) | 5184.ct (of order \(144\) and degree \(48\)) |

Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1728 \) |

Character field: | \(\Q(\zeta_{144})\) | ||

Sturm bound: | \(1728\) |

## Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5184, [\chi])\).

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

Modular forms | 41760 | 13920 | 27840 |

Cusp forms | 41184 | 13728 | 27456 |

Eisenstein series | 576 | 192 | 384 |

## Decomposition of \(S_{2}^{\mathrm{new}}(5184, [\chi])\) into newform subspaces

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

## Decomposition of \(S_{2}^{\mathrm{old}}(5184, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5184, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1728, [\chi])\)\(^{\oplus 2}\)