## Defining parameters

Level: | \( N \) | \(=\) | \( 13 \) |

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

Character orbit: | \([\chi]\) | \(=\) | 13.c (of order \(3\) and degree \(2\)) |

Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 13 \) |

Character field: | \(\Q(\zeta_{3})\) | ||

Newform subspaces: | \( 0 \) | ||

Sturm bound: | \(2\) | ||

Trace bound: | \(0\) |

## Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(13, [\chi])\).

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

Modular forms | 4 | 4 | 0 |

Cusp forms | 0 | 0 | 0 |

Eisenstein series | 4 | 4 | 0 |