Defining parameters
Level: | \( N \) | \(=\) | \( 3267 = 3^{3} \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 1 \) |
Character orbit: | \([\chi]\) | \(=\) | 3267.r (of order \(18\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 297 \) |
Character field: | \(\Q(\zeta_{18})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(396\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(3267, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 84 | 48 | 36 |
Cusp forms | 12 | 0 | 12 |
Eisenstein series | 72 | 48 | 24 |
The following table gives the dimensions of subspaces with specified projective image type.
\(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
---|---|---|---|---|
Dimension | 0 | 0 | 0 | 0 |
Decomposition of \(S_{1}^{\mathrm{old}}(3267, [\chi])\) into lower level spaces
\( S_{1}^{\mathrm{old}}(3267, [\chi]) \cong \) \(S_{1}^{\mathrm{new}}(297, [\chi])\)\(^{\oplus 2}\)