Defining parameters
| Level: | \( N \) | = | \( 2671 \) |
| Weight: | \( k \) | = | \( 1 \) |
| Nonzero newspaces: | \( 1 \) | ||
| Newform subspaces: | \( 1 \) | ||
| Sturm bound: | \(594520\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(2671))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1346 | 1346 | 0 |
| Cusp forms | 11 | 11 | 0 |
| Eisenstein series | 1335 | 1335 | 0 |
The following table gives the dimensions of subspaces with specified projective image type.
| \(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
|---|---|---|---|---|
| Dimension | 11 | 0 | 0 | 0 |
Trace form
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(2671))\)
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 |
|---|---|---|---|---|
| 2671.1.b | \(\chi_{2671}(2670, \cdot)\) | 2671.1.b.a | 11 | 1 |
| 2671.1.e | \(\chi_{2671}(545, \cdot)\) | None | 0 | 2 |
| 2671.1.f | \(\chi_{2671}(96, \cdot)\) | None | 0 | 4 |
| 2671.1.h | \(\chi_{2671}(881, \cdot)\) | None | 0 | 8 |
| 2671.1.j | \(\chi_{2671}(24, \cdot)\) | None | 0 | 88 |
| 2671.1.m | \(\chi_{2671}(30, \cdot)\) | None | 0 | 176 |
| 2671.1.n | \(\chi_{2671}(3, \cdot)\) | None | 0 | 352 |
| 2671.1.p | \(\chi_{2671}(7, \cdot)\) | None | 0 | 704 |