Defining parameters
| Level: | \( N \) | \(=\) | \( 22848 = 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 22848.he (of order \(8\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 357 \) |
| Character field: | \(\Q(\zeta_{8})\) | ||
| Sturm bound: | \(9216\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(22848, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 18624 | 4640 | 13984 |
| Cusp forms | 18240 | 4576 | 13664 |
| Eisenstein series | 384 | 64 | 320 |
Decomposition of \(S_{2}^{\mathrm{new}}(22848, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(22848, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(22848, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(357, [\chi])\)\(^{\oplus 7}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(714, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1428, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2856, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(5712, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(11424, [\chi])\)\(^{\oplus 2}\)