Defining parameters
| Level: | \( N \) | = | \( 184 = 2^{3} \cdot 23 \) |
| Weight: | \( k \) | = | \( 1 \) |
| Nonzero newspaces: | \( 1 \) | ||
| Newform subspaces: | \( 2 \) | ||
| Sturm bound: | \(2112\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(184))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 139 | 45 | 94 |
| Cusp forms | 7 | 3 | 4 |
| Eisenstein series | 132 | 42 | 90 |
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 \(S_{1}^{\mathrm{new}}(\Gamma_1(184))\)
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 |
|---|---|---|---|---|
| 184.1.d | \(\chi_{184}(47, \cdot)\) | None | 0 | 1 |
| 184.1.e | \(\chi_{184}(45, \cdot)\) | 184.1.e.a | 1 | 1 |
| 184.1.e.b | 2 | |||
| 184.1.f | \(\chi_{184}(137, \cdot)\) | None | 0 | 1 |
| 184.1.g | \(\chi_{184}(139, \cdot)\) | None | 0 | 1 |
| 184.1.k | \(\chi_{184}(3, \cdot)\) | None | 0 | 10 |
| 184.1.l | \(\chi_{184}(17, \cdot)\) | None | 0 | 10 |
| 184.1.m | \(\chi_{184}(5, \cdot)\) | None | 0 | 10 |
| 184.1.n | \(\chi_{184}(31, \cdot)\) | None | 0 | 10 |
Decomposition of \(S_{1}^{\mathrm{old}}(\Gamma_1(184))\) into lower level spaces
\( S_{1}^{\mathrm{old}}(\Gamma_1(184)) \cong \) \(S_{1}^{\mathrm{new}}(\Gamma_1(23))\)\(^{\oplus 4}\)