Defining parameters
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\) and degree \(12\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 43 \) |
Character field: | \(\Q(\zeta_{42})\) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(18\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{5}(43, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 192 | 192 | 0 |
Cusp forms | 168 | 168 | 0 |
Eisenstein series | 24 | 24 | 0 |
Trace form
Decomposition of \(S_{5}^{\mathrm{new}}(43, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
43.5.h.a | $168$ | $4.445$ | None | \(-14\) | \(-20\) | \(-11\) | \(-150\) |