Defining parameters
| Level: | \( N \) | \(=\) | \( 4256 = 2^{5} \cdot 7 \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4256.jt (of order \(72\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4256 \) |
| Character field: | \(\Q(\zeta_{72})\) | ||
| Sturm bound: | \(1280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4256, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 15456 | 15456 | 0 |
| Cusp forms | 15264 | 15264 | 0 |
| Eisenstein series | 192 | 192 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(4256, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.