Defining parameters
| Level: | \( N \) | \(=\) | \( 1089 = 3^{2} \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 1 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1089.z (of order \(110\) and degree \(40\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 363 \) |
| Character field: | \(\Q(\zeta_{110})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(132\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(1089, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 160 | 0 | 160 |
| Cusp forms | 0 | 0 | 0 |
| Eisenstein series | 160 | 0 | 160 |
The following table gives the dimensions of subspaces with specified projective image type.
| \(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
|---|---|---|---|---|
| Dimension | 0 | 0 | 0 | 0 |