Defining parameters
| Level: | \( N \) | \(=\) | \( 8281 = 7^{2} \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8281.cp (of order \(78\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 169 \) |
| Character field: | \(\Q(\zeta_{78})\) | ||
| Sturm bound: | \(1698\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8281, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 20592 | 15048 | 5544 |
| Cusp forms | 20208 | 14808 | 5400 |
| Eisenstein series | 384 | 240 | 144 |
Decomposition of \(S_{2}^{\mathrm{new}}(8281, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8281, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8281, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(169, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1183, [\chi])\)\(^{\oplus 2}\)