Defining parameters
| Level: | \( N \) | \(=\) | \( 8496 = 2^{4} \cdot 3^{2} \cdot 59 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8496.do (of order \(348\) and degree \(112\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8496 \) |
| Character field: | \(\Q(\zeta_{348})\) | ||
| Sturm bound: | \(2880\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8496, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 161728 | 161728 | 0 |
| Cusp forms | 160832 | 160832 | 0 |
| Eisenstein series | 896 | 896 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8496, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.