Defining parameters
| Level: | \( N \) | = | \( 2839 = 17 \cdot 167 \) |
| Weight: | \( k \) | = | \( 1 \) |
| Nonzero newspaces: | \( 1 \) | ||
| Newform subspaces: | \( 2 \) | ||
| Sturm bound: | \(669312\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(2839))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2678 | 2486 | 192 |
| Cusp forms | 22 | 12 | 10 |
| Eisenstein series | 2656 | 2474 | 182 |
The following table gives the dimensions of subspaces with specified projective image type.
| \(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
|---|---|---|---|---|
| Dimension | 12 | 0 | 0 | 0 |
Trace form
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(2839))\)
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 |
|---|---|---|---|---|
| 2839.1.c | \(\chi_{2839}(2838, \cdot)\) | 2839.1.c.a | 6 | 1 |
| 2839.1.c.b | 6 | |||
| 2839.1.d | \(\chi_{2839}(834, \cdot)\) | None | 0 | 1 |
| 2839.1.e | \(\chi_{2839}(166, \cdot)\) | None | 0 | 2 |
| 2839.1.h | \(\chi_{2839}(1001, \cdot)\) | None | 0 | 4 |
| 2839.1.j | \(\chi_{2839}(335, \cdot)\) | None | 0 | 8 |
| 2839.1.l | \(\chi_{2839}(35, \cdot)\) | None | 0 | 82 |
| 2839.1.m | \(\chi_{2839}(67, \cdot)\) | None | 0 | 82 |
| 2839.1.p | \(\chi_{2839}(13, \cdot)\) | None | 0 | 164 |
| 2839.1.q | \(\chi_{2839}(15, \cdot)\) | None | 0 | 328 |
| 2839.1.s | \(\chi_{2839}(3, \cdot)\) | None | 0 | 656 |
Decomposition of \(S_{1}^{\mathrm{old}}(\Gamma_1(2839))\) into lower level spaces
\( S_{1}^{\mathrm{old}}(\Gamma_1(2839)) \cong \) \(S_{1}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 4}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(17))\)\(^{\oplus 2}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(167))\)\(^{\oplus 2}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(2839))\)\(^{\oplus 1}\)