Defining parameters
| Level: | \( N \) | = | \( 177 = 3 \cdot 59 \) |
| Weight: | \( k \) | = | \( 1 \) |
| Nonzero newspaces: | \( 0 \) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(2320\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(177))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 118 | 56 | 62 |
| Cusp forms | 2 | 0 | 2 |
| Eisenstein series | 116 | 56 | 60 |
The following table gives the dimensions of subspaces with specified projective image type.
| \(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
|---|---|---|---|---|
| Dimension | 0 | 0 | 0 | 0 |
Decomposition of \(S_{1}^{\mathrm{old}}(\Gamma_1(177))\) into lower level spaces
\( S_{1}^{\mathrm{old}}(\Gamma_1(177)) \cong \) \(S_{1}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 4}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(3))\)\(^{\oplus 2}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(59))\)\(^{\oplus 2}\)