Defining parameters
| Level: | \( N \) | \(=\) | \( 8281 = 7^{2} \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8281.eg (of order \(546\) and degree \(144\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8281 \) |
| Character field: | \(\Q(\zeta_{546})\) | ||
| Sturm bound: | \(1698\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8281, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 122544 | 122544 | 0 |
| Cusp forms | 121968 | 121968 | 0 |
| Eisenstein series | 576 | 576 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8281, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.