Defining parameters
| Level: | \( N \) | \(=\) | \( 6664 = 2^{3} \cdot 7^{2} \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6664.fb (of order \(84\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 833 \) |
| Character field: | \(\Q(\zeta_{84})\) | ||
| Sturm bound: | \(2016\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6664, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 24384 | 6048 | 18336 |
| Cusp forms | 24000 | 6048 | 17952 |
| Eisenstein series | 384 | 0 | 384 |
Decomposition of \(S_{2}^{\mathrm{new}}(6664, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6664, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6664, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(833, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1666, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3332, [\chi])\)\(^{\oplus 2}\)