Defining parameters
| Level: | \( N \) | \(=\) | \( 275 = 5^{2} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 275.bm (of order \(20\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 55 \) |
| Character field: | \(\Q(\zeta_{20})\) | ||
| Sturm bound: | \(120\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(275, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 768 | 448 | 320 |
| Cusp forms | 672 | 416 | 256 |
| Eisenstein series | 96 | 32 | 64 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(275, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(275, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(275, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(55, [\chi])\)\(^{\oplus 2}\)