Defining parameters
Level: | \( N \) | \(=\) | \( 935 = 5 \cdot 11 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 1 \) |
Character orbit: | \([\chi]\) | \(=\) | 935.y (of order \(8\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 935 \) |
Character field: | \(\Q(\zeta_{8})\) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(108\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(935, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 32 | 32 | 0 |
Cusp forms | 16 | 16 | 0 |
Eisenstein series | 16 | 16 | 0 |
The following table gives the dimensions of subspaces with specified projective image type.
\(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
---|---|---|---|---|
Dimension | 16 | 0 | 0 | 0 |
Trace form
Decomposition of \(S_{1}^{\mathrm{new}}(935, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | Image | CM | RM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||||
935.1.y.a | $16$ | $0.467$ | \(\Q(\zeta_{32})\) | $D_{16}$ | \(\Q(\sqrt{-55}) \) | None | \(0\) | \(0\) | \(0\) | \(0\) | \(q+(\zeta_{32}^{11}-\zeta_{32}^{13})q^{2}+(-\zeta_{32}^{6}+\zeta_{32}^{8}+\cdots)q^{4}+\cdots\) |