Defining parameters
Level: | \( N \) | \(=\) | \( 935 = 5 \cdot 11 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 935.cq (of order \(80\) and degree \(32\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 187 \) |
Character field: | \(\Q(\zeta_{80})\) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(216\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(935, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3584 | 2304 | 1280 |
Cusp forms | 3328 | 2304 | 1024 |
Eisenstein series | 256 | 0 | 256 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(935, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
935.2.cq.a | $2304$ | $7.466$ | None | \(0\) | \(0\) | \(0\) | \(0\) |
Decomposition of \(S_{2}^{\mathrm{old}}(935, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(935, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(187, [\chi])\)\(^{\oplus 2}\)