Defining parameters
| Level: | \( N \) | \(=\) | \( 9025 = 5^{2} \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9025.v (of order \(19\) and degree \(18\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 361 \) |
| Character field: | \(\Q(\zeta_{19})\) | ||
| Sturm bound: | \(1900\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9025, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 17208 | 10872 | 6336 |
| Cusp forms | 16992 | 10764 | 6228 |
| Eisenstein series | 216 | 108 | 108 |
Decomposition of \(S_{2}^{\mathrm{new}}(9025, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9025, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9025, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(361, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1805, [\chi])\)\(^{\oplus 2}\)