## Defining parameters

Level: | \( N \) | = | \( 18 = 2 \cdot 3^{2} \) |

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

Character orbit: | \([\chi]\) | = | 18.a (trivial) |

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

Newforms: | \( 0 \) | ||

Sturm bound: | \(6\) | ||

Trace bound: | \(0\) |

## Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(18))\).

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

Modular forms | 7 | 0 | 7 |

Cusp forms | 0 | 0 | 0 |

Eisenstein series | 7 | 0 | 7 |