Defining parameters
Level: | \( N \) | \(=\) | \( 1089 = 3^{2} \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 1089.q (of order \(22\) and degree \(10\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 363 \) |
Character field: | \(\Q(\zeta_{22})\) | ||
Sturm bound: | \(396\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(1089, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2680 | 880 | 1800 |
Cusp forms | 2600 | 880 | 1720 |
Eisenstein series | 80 | 0 | 80 |
Trace form
Decomposition of \(S_{3}^{\mathrm{new}}(1089, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{3}^{\mathrm{old}}(1089, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(1089, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(363, [\chi])\)\(^{\oplus 2}\)