Defining parameters
| Level: | \( N \) | = | \( 5077 \) |
| Weight: | \( k \) | = | \( 2 \) |
| Nonzero newspaces: | \( 16 \) | ||
| Sturm bound: | \(4295988\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(5077))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1076535 | 1076535 | 0 |
| Cusp forms | 1071460 | 1071460 | 0 |
| Eisenstein series | 5075 | 5075 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(5077))\)
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 |
|---|---|---|---|---|
| 5077.2.a | \(\chi_{5077}(1, \cdot)\) | 5077.2.a.a | 1 | 1 |
| 5077.2.a.b | 205 | |||
| 5077.2.a.c | 216 | |||
| 5077.2.b | \(\chi_{5077}(5076, \cdot)\) | n/a | 422 | 1 |
| 5077.2.c | \(\chi_{5077}(1629, \cdot)\) | n/a | 842 | 2 |
| 5077.2.e | \(\chi_{5077}(1630, \cdot)\) | n/a | 844 | 2 |
| 5077.2.f | \(\chi_{5077}(360, \cdot)\) | n/a | 2526 | 6 |
| 5077.2.h | \(\chi_{5077}(2402, \cdot)\) | n/a | 2532 | 6 |
| 5077.2.i | \(\chi_{5077}(382, \cdot)\) | n/a | 7596 | 18 |
| 5077.2.k | \(\chi_{5077}(321, \cdot)\) | n/a | 19366 | 46 |
| 5077.2.l | \(\chi_{5077}(21, \cdot)\) | n/a | 7614 | 18 |
| 5077.2.m | \(\chi_{5077}(25, \cdot)\) | n/a | 19412 | 46 |
| 5077.2.o | \(\chi_{5077}(89, \cdot)\) | n/a | 38732 | 92 |
| 5077.2.q | \(\chi_{5077}(22, \cdot)\) | n/a | 38824 | 92 |
| 5077.2.r | \(\chi_{5077}(9, \cdot)\) | n/a | 116196 | 276 |
| 5077.2.t | \(\chi_{5077}(3, \cdot)\) | n/a | 116472 | 276 |
| 5077.2.u | \(\chi_{5077}(7, \cdot)\) | n/a | 349416 | 828 |
| 5077.2.w | \(\chi_{5077}(4, \cdot)\) | n/a | 350244 | 828 |
"n/a" means that newforms for that character have not been added to the database yet