Defining parameters
| Level: | \( N \) | = | \( 2 \) |
| Weight: | \( k \) | = | \( 12 \) |
| Nonzero newspaces: | \( 0 \) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(3\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{12}(\Gamma_1(2))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4 | 0 | 4 |
| Cusp forms | 2 | 0 | 2 |
| Eisenstein series | 2 | 0 | 2 |
Decomposition of \(S_{12}^{\mathrm{old}}(\Gamma_1(2))\) into lower level spaces
\( S_{12}^{\mathrm{old}}(\Gamma_1(2)) \cong \) \(S_{12}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 2}\)