Defining parameters
| Level: | \( N \) | \(=\) | \( 368 = 2^{4} \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 7 \) |
| Character orbit: | \([\chi]\) | \(=\) | 368.r (of order \(22\) and degree \(10\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 92 \) |
| Character field: | \(\Q(\zeta_{22})\) | ||
| Sturm bound: | \(336\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{7}(368, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2940 | 720 | 2220 |
| Cusp forms | 2820 | 720 | 2100 |
| Eisenstein series | 120 | 0 | 120 |
Trace form
Decomposition of \(S_{7}^{\mathrm{new}}(368, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{7}^{\mathrm{old}}(368, [\chi])\) into lower level spaces
\( S_{7}^{\mathrm{old}}(368, [\chi]) \simeq \) \(S_{7}^{\mathrm{new}}(92, [\chi])\)\(^{\oplus 3}\)