Defining parameters
| Level: | \( N \) | \(=\) | \( 539 = 7^{2} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 539.j (of order \(7\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 49 \) |
| Character field: | \(\Q(\zeta_{7})\) | ||
| Sturm bound: | \(224\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(539, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1020 | 840 | 180 |
| Cusp forms | 996 | 840 | 156 |
| Eisenstein series | 24 | 0 | 24 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(539, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(539, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(539, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(49, [\chi])\)\(^{\oplus 2}\)