Defining parameters
| Level: | \( N \) | \(=\) | \( 5550 = 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5550.dk (of order \(45\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 925 \) |
| Character field: | \(\Q(\zeta_{45})\) | ||
| Sturm bound: | \(2280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5550, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 27552 | 4512 | 23040 |
| Cusp forms | 27168 | 4512 | 22656 |
| Eisenstein series | 384 | 0 | 384 |
Decomposition of \(S_{2}^{\mathrm{new}}(5550, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5550, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5550, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(925, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1850, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2775, [\chi])\)\(^{\oplus 2}\)