Defining parameters
Level: | \( N \) | \(=\) | \( 160 = 2^{5} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 160.v (of order \(8\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 160 \) |
Character field: | \(\Q(\zeta_{8})\) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(72\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(160, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 200 | 200 | 0 |
Cusp forms | 184 | 184 | 0 |
Eisenstein series | 16 | 16 | 0 |
Trace form
Decomposition of \(S_{3}^{\mathrm{new}}(160, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
160.3.v.a | $184$ | $4.360$ | None | \(-4\) | \(-4\) | \(-4\) | \(0\) |