Defining parameters
Level: | \( N \) | \(=\) | \( 1944 = 2^{3} \cdot 3^{5} \) |
Weight: | \( k \) | \(=\) | \( 1 \) |
Character orbit: | \([\chi]\) | \(=\) | 1944.bk (of order \(162\) and degree \(54\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 243 \) |
Character field: | \(\Q(\zeta_{162})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(324\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(1944, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 216 | 0 | 216 |
Cusp forms | 0 | 0 | 0 |
Eisenstein series | 216 | 0 | 216 |
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 |