Defining parameters
| Level: | \( N \) | = | \( 269 \) |
| Weight: | \( k \) | = | \( 4 \) |
| Nonzero newspaces: | \( 4 \) | ||
| Sturm bound: | \(24120\) | ||
| Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_1(269))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 9179 | 9177 | 2 |
| Cusp forms | 8911 | 8911 | 0 |
| Eisenstein series | 268 | 266 | 2 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(\Gamma_1(269))\)
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 |
|---|---|---|---|---|
| 269.4.a | \(\chi_{269}(1, \cdot)\) | 269.4.a.a | 2 | 1 |
| 269.4.a.b | 26 | |||
| 269.4.a.c | 39 | |||
| 269.4.b | \(\chi_{269}(268, \cdot)\) | 269.4.b.a | 66 | 1 |
| 269.4.d | \(\chi_{269}(5, \cdot)\) | n/a | 4422 | 66 |
| 269.4.e | \(\chi_{269}(4, \cdot)\) | n/a | 4356 | 66 |
"n/a" means that newforms for that character have not been added to the database yet