Defining parameters
| Level: | \( N \) | \(=\) | \( 9036 = 2^{2} \cdot 3^{2} \cdot 251 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9036.bk (of order \(50\) and degree \(20\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 753 \) |
| Character field: | \(\Q(\zeta_{50})\) | ||
| Sturm bound: | \(3024\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9036, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 30480 | 1680 | 28800 |
| Cusp forms | 30000 | 1680 | 28320 |
| Eisenstein series | 480 | 0 | 480 |
Decomposition of \(S_{2}^{\mathrm{new}}(9036, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9036, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9036, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(753, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1506, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2259, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3012, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4518, [\chi])\)\(^{\oplus 2}\)