Defining parameters
| Level: | \( N \) | \(=\) | \( 4864 = 2^{8} \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4864.cx (of order \(192\) and degree \(64\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4864 \) |
| Character field: | \(\Q(\zeta_{192})\) | ||
| Sturm bound: | \(1280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4864, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 41088 | 41088 | 0 |
| Cusp forms | 40832 | 40832 | 0 |
| Eisenstein series | 256 | 256 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(4864, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.