Defining parameters
| Level: | \( N \) | \(=\) | \( 5746 = 2 \cdot 13^{2} \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5746.be (of order \(24\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 221 \) |
| Character field: | \(\Q(\zeta_{24})\) | ||
| Sturm bound: | \(1638\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5746, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 6784 | 1856 | 4928 |
| Cusp forms | 6336 | 1856 | 4480 |
| Eisenstein series | 448 | 0 | 448 |
Decomposition of \(S_{2}^{\mathrm{new}}(5746, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5746, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5746, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(221, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(442, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2873, [\chi])\)\(^{\oplus 2}\)