Defining parameters
| Level: | \( N \) | = | \( 6043 \) |
| Weight: | \( k \) | = | \( 2 \) |
| Nonzero newspaces: | \( 8 \) | ||
| Sturm bound: | \(6086308\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6043))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1524598 | 1524598 | 0 |
| Cusp forms | 1518557 | 1518557 | 0 |
| Eisenstein series | 6041 | 6041 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6043))\)
We only show spaces with even 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 |
|---|---|---|---|---|
| 6043.2.a | \(\chi_{6043}(1, \cdot)\) | 6043.2.a.a | 1 | 1 |
| 6043.2.a.b | 243 | |||
| 6043.2.a.c | 259 | |||
| 6043.2.c | \(\chi_{6043}(1715, \cdot)\) | n/a | 1006 | 2 |
| 6043.2.e | \(\chi_{6043}(694, \cdot)\) | n/a | 9036 | 18 |
| 6043.2.g | \(\chi_{6043}(64, \cdot)\) | n/a | 26104 | 52 |
| 6043.2.h | \(\chi_{6043}(91, \cdot)\) | n/a | 18108 | 36 |
| 6043.2.k | \(\chi_{6043}(4, \cdot)\) | n/a | 52312 | 104 |
| 6043.2.m | \(\chi_{6043}(9, \cdot)\) | n/a | 469872 | 936 |
| 6043.2.o | \(\chi_{6043}(6, \cdot)\) | n/a | 941616 | 1872 |
"n/a" means that newforms for that character have not been added to the database yet