Defining parameters
| Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 350.q (of order \(15\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 175 \) |
| Character field: | \(\Q(\zeta_{15})\) | ||
| Sturm bound: | \(240\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(350, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1472 | 480 | 992 |
| Cusp forms | 1408 | 480 | 928 |
| Eisenstein series | 64 | 0 | 64 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(350, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(350, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(350, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(175, [\chi])\)\(^{\oplus 2}\)