## Defining parameters

Level: | \( N \) | = | \( 1 \) |

Weight: | \( k \) | = | \( 8 \) |

Character orbit: | \([\chi]\) | = | 1.a (trivial) |

Character field: | \(\Q\) | ||

Newforms: | \( 0 \) | ||

Sturm bound: | \(0\) | ||

Trace bound: | \(0\) |

## Dimensions

The following table gives the dimensions of various subspaces of \(M_{8}(\Gamma_0(1))\).

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

Modular forms | 1 | 1 | 0 |

Cusp forms | 0 | 0 | 0 |

Eisenstein series | 1 | 1 | 0 |