Defining parameters
| Level: | \( N \) | \(=\) | \( 6630 = 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6630.gt (of order \(12\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3315 \) |
| Character field: | \(\Q(\zeta_{12})\) | ||
| Sturm bound: | \(3024\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6630, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 6112 | 2016 | 4096 |
| Cusp forms | 5984 | 2016 | 3968 |
| Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{2}^{\mathrm{new}}(6630, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6630, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6630, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3315, [\chi])\)\(^{\oplus 2}\)