Defining parameters
| Level: | \( N \) | = | \( 4 = 2^{2} \) |
| Weight: | \( k \) | = | \( 2 \) |
| Nonzero newspaces: | \( 0 \) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2 | 0 | 2 |
| Cusp forms | 0 | 0 | 0 |
| Eisenstein series | 2 | 0 | 2 |