Defining parameters
| Level: | \( N \) | = | \( 6029 \) |
| Weight: | \( k \) | = | \( 2 \) |
| Nonzero newspaces: | \( 8 \) | ||
| Sturm bound: | \(6058140\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6029))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1517549 | 1517549 | 0 |
| Cusp forms | 1511522 | 1511522 | 0 |
| Eisenstein series | 6027 | 6027 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6029))\)
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 |
|---|---|---|---|---|
| 6029.2.a | \(\chi_{6029}(1, \cdot)\) | 6029.2.a.a | 234 | 1 |
| 6029.2.a.b | 268 | |||
| 6029.2.b | \(\chi_{6029}(6028, \cdot)\) | n/a | 502 | 1 |
| 6029.2.d | \(\chi_{6029}(750, \cdot)\) | n/a | 5010 | 10 |
| 6029.2.e | \(\chi_{6029}(1735, \cdot)\) | n/a | 5020 | 10 |
| 6029.2.g | \(\chi_{6029}(63, \cdot)\) | n/a | 68136 | 136 |
| 6029.2.h | \(\chi_{6029}(53, \cdot)\) | n/a | 68272 | 136 |
| 6029.2.j | \(\chi_{6029}(5, \cdot)\) | n/a | 681360 | 1360 |
| 6029.2.k | \(\chi_{6029}(4, \cdot)\) | n/a | 682720 | 1360 |
"n/a" means that newforms for that character have not been added to the database yet