Defining parameters
| Level: | \( N \) | \(=\) | \( 10304 = 2^{6} \cdot 7 \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 10304.gc (of order \(528\) and degree \(160\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 10304 \) |
| Character field: | \(\Q(\zeta_{528})\) | ||
| Sturm bound: | \(3072\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(10304, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 246400 | 246400 | 0 |
| Cusp forms | 245120 | 245120 | 0 |
| Eisenstein series | 1280 | 1280 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(10304, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.