Defining parameters
| Level: | \( N \) | \(=\) | \( 4425 = 3 \cdot 5^{2} \cdot 59 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4425.j (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 295 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(1200\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4425, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1224 | 360 | 864 |
| Cusp forms | 1176 | 360 | 816 |
| Eisenstein series | 48 | 0 | 48 |
Decomposition of \(S_{2}^{\mathrm{new}}(4425, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4425, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4425, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(295, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(885, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1475, [\chi])\)\(^{\oplus 2}\)