Defining parameters
| Level: | \( N \) | \(=\) | \( 5733 = 3^{2} \cdot 7^{2} \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5733.iv (of order \(42\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 441 \) |
| Character field: | \(\Q(\zeta_{42})\) | ||
| Sturm bound: | \(1568\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5733, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 9456 | 8064 | 1392 |
| Cusp forms | 9360 | 8064 | 1296 |
| Eisenstein series | 96 | 0 | 96 |
Decomposition of \(S_{2}^{\mathrm{new}}(5733, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5733, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5733, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(441, [\chi])\)\(^{\oplus 2}\)