Defining parameters
| Level: | \( N \) | \(=\) | \( 10890 = 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 10890.bz (of order \(30\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 495 \) |
| Character field: | \(\Q(\zeta_{30})\) | ||
| Sturm bound: | \(4752\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(10890, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 19392 | 5184 | 14208 |
| Cusp forms | 18624 | 5184 | 13440 |
| Eisenstein series | 768 | 0 | 768 |
Decomposition of \(S_{2}^{\mathrm{new}}(10890, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(10890, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(10890, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(495, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(990, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(5445, [\chi])\)\(^{\oplus 2}\)