Defining parameters
| Level: | \( N \) | \(=\) | \( 6069 = 3 \cdot 7 \cdot 17^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6069.bq (of order \(34\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 6069 \) |
| Character field: | \(\Q(\zeta_{34})\) | ||
| Sturm bound: | \(1632\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6069, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 13120 | 13120 | 0 |
| Cusp forms | 12992 | 12992 | 0 |
| Eisenstein series | 128 | 128 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(6069, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.