## Defining parameters

Level: | \( N \) | = | \( 8041 = 11 \cdot 17 \cdot 43 \) |

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

Character orbit: | \([\chi]\) | = | 8041.bu (of order \(16\) and degree \(8\)) |

Character conductor: | \(\operatorname{cond}(\chi)\) | = | \( 731 \) |

Character field: | \(\Q(\zeta_{16})\) | ||

Sturm bound: | \(1584\) |

## Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8041, [\chi])\).

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

Modular forms | 6368 | 5280 | 1088 |

Cusp forms | 6304 | 5280 | 1024 |

Eisenstein series | 64 | 0 | 64 |

## Decomposition of \(S_{2}^{\mathrm{new}}(8041, [\chi])\) into irreducible Hecke orbits

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

## Decomposition of \(S_{2}^{\mathrm{old}}(8041, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8041, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(731, [\chi])\)\(^{\oplus 2}\)