Defining parameters
| Level: | \( N \) | \(=\) | \( 5712 = 2^{4} \cdot 3 \cdot 7 \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5712.ev (of order \(8\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1904 \) |
| Character field: | \(\Q(\zeta_{8})\) | ||
| Sturm bound: | \(2304\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5712, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4640 | 2304 | 2336 |
| Cusp forms | 4576 | 2304 | 2272 |
| Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(5712, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5712, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5712, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1904, [\chi])\)\(^{\oplus 2}\)