Defining parameters
| Level: | \( N \) | = | \( 100447 \) |
| Weight: | \( k \) | = | \( 2 \) |
| Nonzero newspaces: | \( 4 \) | ||
| Sturm bound: | \(1681599968\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(100447))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 420450215 | 420450215 | 0 |
| Cusp forms | 420349770 | 420349770 | 0 |
| Eisenstein series | 100445 | 100445 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(100447))\)
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 |
|---|---|---|---|---|
| 100447.2.a | \(\chi_{100447}(1, \cdot)\) | 100447.2.a.a | 4133 | 1 |
| 100447.2.a.b | 4237 | |||
| 100447.2.c | \(\chi_{100447}(13178, \cdot)\) | n/a | 16740 | 2 |
| 100447.2.e | \(\chi_{100447}(2, \cdot)\) | n/a | 140097060 | 16740 |
| 100447.2.g | \(\chi_{100447}(9, \cdot)\) | n/a | 280227600 | 33480 |
"n/a" means that newforms for that character have not been added to the database yet