Defining parameters
| Level: | \( N \) | \(=\) | \( 8732 = 2^{2} \cdot 37 \cdot 59 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8732.ct (of order \(1044\) and degree \(336\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8732 \) |
| Character field: | \(\Q(\zeta_{1044})\) | ||
| Sturm bound: | \(2280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8732, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 384384 | 384384 | 0 |
| Cusp forms | 381696 | 381696 | 0 |
| Eisenstein series | 2688 | 2688 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8732, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.