Defining parameters
| Level: | \( N \) | \(=\) | \( 6030 = 2 \cdot 3^{2} \cdot 5 \cdot 67 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6030.eh (of order \(132\) and degree \(40\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3015 \) |
| Character field: | \(\Q(\zeta_{132})\) | ||
| Sturm bound: | \(2448\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6030, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 49280 | 16320 | 32960 |
| Cusp forms | 48640 | 16320 | 32320 |
| Eisenstein series | 640 | 0 | 640 |
Decomposition of \(S_{2}^{\mathrm{new}}(6030, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6030, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6030, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3015, [\chi])\)\(^{\oplus 2}\)