Defining parameters
| Level: | \( N \) | \(=\) | \( 1856 = 2^{6} \cdot 29 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1856.e (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 29 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(960\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1856, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 732 | 182 | 550 |
| Cusp forms | 708 | 178 | 530 |
| Eisenstein series | 24 | 4 | 20 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(1856, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(1856, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(1856, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(29, [\chi])\)\(^{\oplus 7}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(58, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(116, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(232, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(464, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(928, [\chi])\)\(^{\oplus 2}\)