Defining parameters
| Level: | \( N \) | \(=\) | \( 1950 = 2 \cdot 3 \cdot 5^{2} \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1950.cu (of order \(60\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 975 \) |
| Character field: | \(\Q(\zeta_{60})\) | ||
| Sturm bound: | \(1680\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1950, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 20288 | 6720 | 13568 |
| Cusp forms | 20032 | 6720 | 13312 |
| Eisenstein series | 256 | 0 | 256 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(1950, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(1950, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(1950, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(975, [\chi])\)\(^{\oplus 2}\)