Defining parameters
Level: | \( N \) | \(=\) | \( 869 = 11 \cdot 79 \) |
Weight: | \( k \) | \(=\) | \( 1 \) |
Character orbit: | \([\chi]\) | \(=\) | 869.bd (of order \(390\) and degree \(96\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 869 \) |
Character field: | \(\Q(\zeta_{390})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(80\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(869, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 192 | 192 | 0 |
Cusp forms | 0 | 0 | 0 |
Eisenstein series | 192 | 192 | 0 |
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 |