Defining parameters
| Level: | \( N \) | \(=\) | \( 1275 = 3 \cdot 5^{2} \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1275.cn (of order \(80\) and degree \(32\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 425 \) |
| Character field: | \(\Q(\zeta_{80})\) | ||
| Sturm bound: | \(720\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1275, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 17408 | 8640 | 8768 |
| Cusp forms | 17152 | 8640 | 8512 |
| Eisenstein series | 256 | 0 | 256 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(1275, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(1275, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(1275, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(425, [\chi])\)\(^{\oplus 2}\)