Defining parameters
| Level: | \( N \) | \(=\) | \( 5824 = 2^{6} \cdot 7 \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5824.c (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(1792\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5824, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 920 | 144 | 776 |
| Cusp forms | 872 | 144 | 728 |
| Eisenstein series | 48 | 0 | 48 |
Decomposition of \(S_{2}^{\mathrm{new}}(5824, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5824, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5824, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(104, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(208, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(416, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(728, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(832, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1456, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2912, [\chi])\)\(^{\oplus 2}\)