Defining parameters
| Level: | \( N \) | \(=\) | \( 6800 = 2^{4} \cdot 5^{2} \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6800.df (of order \(8\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 272 \) |
| Character field: | \(\Q(\zeta_{8})\) | ||
| Sturm bound: | \(2160\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6800, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4368 | 2760 | 1608 |
| Cusp forms | 4272 | 2712 | 1560 |
| Eisenstein series | 96 | 48 | 48 |
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
\( S_{2}^{\mathrm{old}}(6800, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(272, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1360, [\chi])\)\(^{\oplus 2}\)