Defining parameters
| Level: | \( N \) | \(=\) | \( 3808 = 2^{5} \cdot 7 \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3808.hp (of order \(24\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 952 \) |
| Character field: | \(\Q(\zeta_{24})\) | ||
| Sturm bound: | \(1152\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3808, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4736 | 1184 | 3552 |
| Cusp forms | 4480 | 1120 | 3360 |
| Eisenstein series | 256 | 64 | 192 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3808, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3808, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3808, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(952, [\chi])\)\(^{\oplus 3}\)