Defining parameters
| Level: | \( N \) | = | \( 295 = 5 \cdot 59 \) |
| Weight: | \( k \) | = | \( 1 \) |
| Nonzero newspaces: | \( 1 \) | ||
| Newform subspaces: | \( 3 \) | ||
| Sturm bound: | \(6960\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(295))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 239 | 175 | 64 |
| Cusp forms | 7 | 5 | 2 |
| Eisenstein series | 232 | 170 | 62 |
The following table gives the dimensions of subspaces with specified projective image type.
| \(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
|---|---|---|---|---|
| Dimension | 5 | 0 | 0 | 0 |
Trace form
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(295))\)
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.
| Label | \(\chi\) | Newforms | Dimension | \(\chi\) degree |
|---|---|---|---|---|
| 295.1.c | \(\chi_{295}(176, \cdot)\) | None | 0 | 1 |
| 295.1.d | \(\chi_{295}(294, \cdot)\) | 295.1.d.a | 1 | 1 |
| 295.1.d.b | 2 | |||
| 295.1.d.c | 2 | |||
| 295.1.f | \(\chi_{295}(178, \cdot)\) | None | 0 | 2 |
| 295.1.h | \(\chi_{295}(14, \cdot)\) | None | 0 | 28 |
| 295.1.i | \(\chi_{295}(6, \cdot)\) | None | 0 | 28 |
| 295.1.k | \(\chi_{295}(3, \cdot)\) | None | 0 | 56 |
Decomposition of \(S_{1}^{\mathrm{old}}(\Gamma_1(295))\) into lower level spaces
\( S_{1}^{\mathrm{old}}(\Gamma_1(295)) \cong \) \(S_{1}^{\mathrm{new}}(\Gamma_1(59))\)\(^{\oplus 2}\)