Defining parameters
| Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 735.d (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 5 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(448\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(735, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 352 | 124 | 228 |
| Cusp forms | 320 | 124 | 196 |
| Eisenstein series | 32 | 0 | 32 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(735, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(735, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(735, [\chi]) \cong \)