Defining parameters
Level: | \( N \) | \(=\) | \( 5 \) |
Weight: | \( k \) | \(=\) | \( 33 \) |
Character orbit: | \([\chi]\) | \(=\) | 5.c (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 5 \) |
Character field: | \(\Q(i)\) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(16\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{33}(5, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 34 | 34 | 0 |
Cusp forms | 30 | 30 | 0 |
Eisenstein series | 4 | 4 | 0 |
Trace form
Decomposition of \(S_{33}^{\mathrm{new}}(5, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
5.33.c.a | $30$ | $32.433$ | None | \(-2\) | \(-2792232\) | \(229266409900\) | \(21\!\cdots\!48\) |