Defining parameters
| Level: | \( N \) | = | \( 1441 = 11 \cdot 131 \) |
| Weight: | \( k \) | = | \( 1 \) |
| Nonzero newspaces: | \( 1 \) | ||
| Newform subspaces: | \( 1 \) | ||
| Sturm bound: | \(171600\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(1441))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1324 | 1180 | 144 |
| Cusp forms | 24 | 20 | 4 |
| Eisenstein series | 1300 | 1160 | 140 |
The following table gives the dimensions of subspaces with specified projective image type.
| \(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
|---|---|---|---|---|
| Dimension | 20 | 0 | 0 | 0 |
Trace form
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(1441))\)
We only show spaces with odd parity, since no modular forms exist when this condition is not satisfied. Within each space \( S_k^{\mathrm{new}}(N, \chi) \) we list available newforms together with their dimension.
Decomposition of \(S_{1}^{\mathrm{old}}(\Gamma_1(1441))\) into lower level spaces
\( S_{1}^{\mathrm{old}}(\Gamma_1(1441)) \cong \) \(S_{1}^{\mathrm{new}}(\Gamma_1(131))\)\(^{\oplus 2}\)