Defining parameters
| Level: | \( N \) | \(=\) | \( 368 = 2^{4} \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 368.m (of order \(11\) and degree \(10\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 23 \) |
| Character field: | \(\Q(\zeta_{11})\) | ||
| Sturm bound: | \(192\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(368, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1500 | 370 | 1130 |
| Cusp forms | 1380 | 350 | 1030 |
| Eisenstein series | 120 | 20 | 100 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(368, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(368, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(368, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(23, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(46, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(92, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(184, [\chi])\)\(^{\oplus 2}\)