Defining parameters
Level: | \( N \) | \(=\) | \( 4033 = 37 \cdot 109 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4033.bj (of order \(9\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 37 \) |
Character field: | \(\Q(\zeta_{9})\) | ||
Sturm bound: | \(696\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4033, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2100 | 2052 | 48 |
Cusp forms | 2076 | 2052 | 24 |
Eisenstein series | 24 | 0 | 24 |
Decomposition of \(S_{2}^{\mathrm{new}}(4033, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4033, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4033, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(37, [\chi])\)\(^{\oplus 2}\)