Defining parameters
| Level: | \( N \) | \(=\) | \( 5796 = 2^{2} \cdot 3^{2} \cdot 7 \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5796.fl (of order \(66\) and degree \(20\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 483 \) |
| Character field: | \(\Q(\zeta_{66})\) | ||
| Sturm bound: | \(2304\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5796, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 23520 | 1280 | 22240 |
| Cusp forms | 22560 | 1280 | 21280 |
| Eisenstein series | 960 | 0 | 960 |
Decomposition of \(S_{2}^{\mathrm{new}}(5796, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5796, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5796, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(483, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(966, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1449, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1932, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2898, [\chi])\)\(^{\oplus 2}\)