## Defining parameters

Level: | \( N \) | = | \( 4\( 4 = 2^{2} \) \) |

Weight: | \( k \) | = | \( 4 \) |

Nonzero newspaces: | \( 0 \) | ||

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

Sturm bound: | \(4\) |

## Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_1(4))\).

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

Modular forms | 3 | 0 | 3 |

Cusp forms | 0 | 0 | 0 |

Eisenstein series | 3 | 0 | 3 |