Defining parameters
| Level: | \( N \) | \(=\) | \( 3808 = 2^{5} \cdot 7 \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3808.h (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 476 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(1152\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3808, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 592 | 144 | 448 |
| Cusp forms | 560 | 144 | 416 |
| Eisenstein series | 32 | 0 | 32 |
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
\( S_{2}^{\mathrm{old}}(3808, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(476, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1904, [\chi])\)\(^{\oplus 2}\)