Defining parameters
| Level: | \( N \) | = | \( 6011 \) |
| Weight: | \( k \) | = | \( 2 \) |
| Nonzero newspaces: | \( 4 \) | ||
| Sturm bound: | \(6022020\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6011))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1508510 | 1508510 | 0 |
| Cusp forms | 1502501 | 1502501 | 0 |
| Eisenstein series | 6009 | 6009 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6011))\)
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 |
|---|---|---|---|---|
| 6011.2.a | \(\chi_{6011}(1, \cdot)\) | 6011.2.a.a | 1 | 1 |
| 6011.2.a.b | 1 | |||
| 6011.2.a.c | 1 | |||
| 6011.2.a.d | 2 | |||
| 6011.2.a.e | 221 | |||
| 6011.2.a.f | 275 | |||
| 6011.2.c | \(\chi_{6011}(759, \cdot)\) | n/a | 2000 | 4 |
| 6011.2.e | \(\chi_{6011}(3, \cdot)\) | n/a | 300000 | 600 |
| 6011.2.g | \(\chi_{6011}(4, \cdot)\) | n/a | 1200000 | 2400 |
"n/a" means that newforms for that character have not been added to the database yet