## Defining parameters

Level: | \( N \) | = | \( 4030 = 2 \cdot 5 \cdot 13 \cdot 31 \) |

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

Character orbit: | \([\chi]\) | = | 4030.ed (of order \(12\) and degree \(4\)) |

Character conductor: | \(\operatorname{cond}(\chi)\) | = | \( 2015 \) |

Character field: | \(\Q(\zeta_{12})\) | ||

Sturm bound: | \(1344\) |

## Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4030, [\chi])\).

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

Modular forms | 2720 | 896 | 1824 |

Cusp forms | 2656 | 896 | 1760 |

Eisenstein series | 64 | 0 | 64 |

## Decomposition of \(S_{2}^{\mathrm{new}}(4030, [\chi])\) into irreducible Hecke orbits

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

## Decomposition of \(S_{2}^{\mathrm{old}}(4030, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4030, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2015, [\chi])\)\(^{\oplus 2}\)