Defining parameters
Level: | \( N \) | \(=\) | \( 1161 = 3^{3} \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 1 \) |
Character orbit: | \([\chi]\) | \(=\) | 1161.z (of order \(14\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 43 \) |
Character field: | \(\Q(\zeta_{14})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(132\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(1161, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 48 | 0 | 48 |
Cusp forms | 12 | 0 | 12 |
Eisenstein series | 36 | 0 | 36 |
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 \(S_{1}^{\mathrm{old}}(1161, [\chi])\) into lower level spaces
\( S_{1}^{\mathrm{old}}(1161, [\chi]) \cong \) \(S_{1}^{\mathrm{new}}(387, [\chi])\)\(^{\oplus 2}\)