Defining parameters
| Level: | \( N \) | \(=\) | \( 5733 = 3^{2} \cdot 7^{2} \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5733.kk (of order \(42\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 637 \) |
| 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 | 9504 | 3948 | 5556 |
| Cusp forms | 9312 | 3900 | 5412 |
| Eisenstein series | 192 | 48 | 144 |
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
\( S_{2}^{\mathrm{old}}(5733, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(637, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1911, [\chi])\)\(^{\oplus 2}\)