Defining parameters
| Level: | \( N \) | = | \( 236 = 2^{2} \cdot 59 \) |
| Weight: | \( k \) | = | \( 1 \) |
| Nonzero newspaces: | \( 1 \) | ||
| Newform subspaces: | \( 1 \) | ||
| Sturm bound: | \(3480\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(236))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 151 | 59 | 92 |
| Cusp forms | 6 | 3 | 3 |
| Eisenstein series | 145 | 56 | 89 |
The following table gives the dimensions of subspaces with specified projective image type.
| \(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
|---|---|---|---|---|
| Dimension | 3 | 0 | 0 | 0 |
Trace form
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(236))\)
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 |
|---|---|---|---|---|
| 236.1.b | \(\chi_{236}(119, \cdot)\) | None | 0 | 1 |
| 236.1.d | \(\chi_{236}(117, \cdot)\) | 236.1.d.a | 3 | 1 |
| 236.1.f | \(\chi_{236}(13, \cdot)\) | None | 0 | 28 |
| 236.1.h | \(\chi_{236}(3, \cdot)\) | None | 0 | 28 |
Decomposition of \(S_{1}^{\mathrm{old}}(\Gamma_1(236))\) into lower level spaces
\( S_{1}^{\mathrm{old}}(\Gamma_1(236)) \cong \) \(S_{1}^{\mathrm{new}}(\Gamma_1(59))\)\(^{\oplus 3}\)