Defining parameters
| Level: | \( N \) | = | \( 2883 = 3 \cdot 31^{2} \) |
| Weight: | \( k \) | = | \( 1 \) |
| Nonzero newspaces: | \( 6 \) | ||
| Newform subspaces: | \( 17 \) | ||
| Sturm bound: | \(615040\) | ||
| Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(2883))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3066 | 1587 | 1479 |
| Cusp forms | 306 | 266 | 40 |
| Eisenstein series | 2760 | 1321 | 1439 |
The following table gives the dimensions of subspaces with specified projective image type.
| \(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
|---|---|---|---|---|
| Dimension | 206 | 0 | 60 | 0 |
Trace form
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(2883))\)
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 |
|---|---|---|---|---|
| 2883.1.b | \(\chi_{2883}(962, \cdot)\) | 2883.1.b.a | 2 | 1 |
| 2883.1.b.b | 2 | |||
| 2883.1.b.c | 4 | |||
| 2883.1.d | \(\chi_{2883}(1921, \cdot)\) | None | 0 | 1 |
| 2883.1.h | \(\chi_{2883}(521, \cdot)\) | 2883.1.h.a | 4 | 2 |
| 2883.1.h.b | 4 | |||
| 2883.1.h.c | 8 | |||
| 2883.1.i | \(\chi_{2883}(1483, \cdot)\) | None | 0 | 2 |
| 2883.1.j | \(\chi_{2883}(430, \cdot)\) | None | 0 | 4 |
| 2883.1.l | \(\chi_{2883}(374, \cdot)\) | 2883.1.l.a | 4 | 4 |
| 2883.1.l.b | 4 | |||
| 2883.1.l.c | 4 | |||
| 2883.1.l.d | 16 | |||
| 2883.1.n | \(\chi_{2883}(115, \cdot)\) | None | 0 | 8 |
| 2883.1.o | \(\chi_{2883}(338, \cdot)\) | 2883.1.o.a | 8 | 8 |
| 2883.1.o.b | 8 | |||
| 2883.1.o.c | 8 | |||
| 2883.1.o.d | 8 | |||
| 2883.1.o.e | 32 | |||
| 2883.1.r | \(\chi_{2883}(61, \cdot)\) | None | 0 | 30 |
| 2883.1.t | \(\chi_{2883}(32, \cdot)\) | 2883.1.t.a | 30 | 30 |
| 2883.1.w | \(\chi_{2883}(37, \cdot)\) | None | 0 | 60 |
| 2883.1.x | \(\chi_{2883}(5, \cdot)\) | None | 0 | 60 |
| 2883.1.z | \(\chi_{2883}(2, \cdot)\) | 2883.1.z.a | 120 | 120 |
| 2883.1.bb | \(\chi_{2883}(46, \cdot)\) | None | 0 | 120 |
| 2883.1.be | \(\chi_{2883}(14, \cdot)\) | None | 0 | 240 |
| 2883.1.bf | \(\chi_{2883}(13, \cdot)\) | None | 0 | 240 |
Decomposition of \(S_{1}^{\mathrm{old}}(\Gamma_1(2883))\) into lower level spaces
\( S_{1}^{\mathrm{old}}(\Gamma_1(2883)) \cong \) \(S_{1}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 6}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(3))\)\(^{\oplus 3}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(31))\)\(^{\oplus 4}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(93))\)\(^{\oplus 2}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(961))\)\(^{\oplus 2}\)