Defining parameters
| Level: | \( N \) | \(=\) | \( 4097 = 17 \cdot 241 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4097.m (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 241 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(726\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4097, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 728 | 644 | 84 |
| Cusp forms | 720 | 644 | 76 |
| Eisenstein series | 8 | 0 | 8 |
Decomposition of \(S_{2}^{\mathrm{new}}(4097, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4097, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4097, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(241, [\chi])\)\(^{\oplus 2}\)