Defining parameters
| Level: | \( N \) | \(=\) | \( 6800 = 2^{4} \cdot 5^{2} \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6800.ew (of order \(16\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1360 \) |
| Character field: | \(\Q(\zeta_{16})\) | ||
| Sturm bound: | \(2160\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6800, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 8736 | 5216 | 3520 |
| Cusp forms | 8544 | 5152 | 3392 |
| Eisenstein series | 192 | 64 | 128 |
Decomposition of \(S_{2}^{\mathrm{new}}(6800, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6800, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6800, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1360, [\chi])\)\(^{\oplus 2}\)