Defining parameters
| Level: | \( N \) | \(=\) | \( 352 = 2^{5} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 5 \) |
| Character orbit: | \([\chi]\) | \(=\) | 352.t (of order \(10\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 88 \) |
| Character field: | \(\Q(\zeta_{10})\) | ||
| Sturm bound: | \(240\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{5}(352, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 800 | 200 | 600 |
| Cusp forms | 736 | 184 | 552 |
| Eisenstein series | 64 | 16 | 48 |
Trace form
Decomposition of \(S_{5}^{\mathrm{new}}(352, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{5}^{\mathrm{old}}(352, [\chi])\) into lower level spaces
\( S_{5}^{\mathrm{old}}(352, [\chi]) \simeq \) \(S_{5}^{\mathrm{new}}(88, [\chi])\)\(^{\oplus 3}\)