Defining parameters
| Level: | \( N \) | = | \( 8017 \) |
| Weight: | \( k \) | = | \( 2 \) |
| Nonzero newspaces: | \( 16 \) | ||
| Sturm bound: | \(10712048\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(8017))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2682020 | 2682020 | 0 |
| Cusp forms | 2674005 | 2674005 | 0 |
| Eisenstein series | 8015 | 8015 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(8017))\)
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 |
|---|---|---|---|---|
| 8017.2.a | \(\chi_{8017}(1, \cdot)\) | 8017.2.a.a | 327 | 1 |
| 8017.2.a.b | 340 | |||
| 8017.2.b | \(\chi_{8017}(8016, \cdot)\) | n/a | 666 | 1 |
| 8017.2.c | \(\chi_{8017}(2642, \cdot)\) | n/a | 1334 | 2 |
| 8017.2.d | \(\chi_{8017}(1813, \cdot)\) | n/a | 1332 | 2 |
| 8017.2.e | \(\chi_{8017}(2643, \cdot)\) | n/a | 1334 | 2 |
| 8017.2.f | \(\chi_{8017}(300, \cdot)\) | n/a | 2668 | 4 |
| 8017.2.g | \(\chi_{8017}(2407, \cdot)\) | n/a | 2668 | 4 |
| 8017.2.i | \(\chi_{8017}(570, \cdot)\) | n/a | 5344 | 8 |
| 8017.2.k | \(\chi_{8017}(39, \cdot)\) | n/a | 110556 | 166 |
| 8017.2.l | \(\chi_{8017}(27, \cdot)\) | n/a | 110556 | 166 |
| 8017.2.m | \(\chi_{8017}(9, \cdot)\) | n/a | 221444 | 332 |
| 8017.2.n | \(\chi_{8017}(36, \cdot)\) | n/a | 221112 | 332 |
| 8017.2.o | \(\chi_{8017}(3, \cdot)\) | n/a | 221444 | 332 |
| 8017.2.p | \(\chi_{8017}(6, \cdot)\) | n/a | 442888 | 664 |
| 8017.2.q | \(\chi_{8017}(4, \cdot)\) | n/a | 442888 | 664 |
| 8017.2.s | \(\chi_{8017}(2, \cdot)\) | n/a | 887104 | 1328 |
"n/a" means that newforms for that character have not been added to the database yet