Defining parameters
| Level: | \( N \) | \(=\) | \( 1936 = 2^{4} \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1936.br (of order \(110\) and degree \(40\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 484 \) |
| Character field: | \(\Q(\zeta_{110})\) | ||
| Sturm bound: | \(1056\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1936, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 31920 | 7920 | 24000 |
| Cusp forms | 31440 | 7920 | 23520 |
| Eisenstein series | 480 | 0 | 480 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(1936, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(1936, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(1936, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(484, [\chi])\)\(^{\oplus 3}\)