Defining parameters
| Level: | \( N \) | = | \( 50423 \) |
| Weight: | \( k \) | = | \( 2 \) |
| Nonzero newspaces: | \( 4 \) | ||
| Sturm bound: | \(423746488\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(50423))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 105961833 | 105961833 | 0 |
| Cusp forms | 105911412 | 105911412 | 0 |
| Eisenstein series | 50421 | 50421 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(50423))\)
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 |
|---|---|---|---|---|
| 50423.2.a | \(\chi_{50423}(1, \cdot)\) | 50423.2.a.a | 2 | 1 |
| 50423.2.a.b | 2002 | |||
| 50423.2.a.c | 2198 | |||
| 50423.2.c | \(\chi_{50423}(145, \cdot)\) | n/a | 67216 | 16 |
| 50423.2.e | \(\chi_{50423}(99, \cdot)\) | n/a | 6225882 | 1482 |
| 50423.2.g | \(\chi_{50423}(2, \cdot)\) | n/a | 99614112 | 23712 |
"n/a" means that newforms for that character have not been added to the database yet