Defining parameters
| Level: | \( N \) | \(=\) | \( 6039 = 3^{2} \cdot 11 \cdot 61 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6039.ez (of order \(15\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 99 \) |
| Character field: | \(\Q(\zeta_{15})\) | ||
| Sturm bound: | \(1488\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6039, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 5984 | 5760 | 224 |
| Cusp forms | 5920 | 5760 | 160 |
| Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(6039, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6039, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6039, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(99, [\chi])\)\(^{\oplus 2}\)