Defining parameters
Level: | \( N \) | \(=\) | \( 547 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 547.c (of order \(3\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 547 \) |
Character field: | \(\Q(\zeta_{3})\) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(91\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(547, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 94 | 94 | 0 |
Cusp forms | 90 | 90 | 0 |
Eisenstein series | 4 | 4 | 0 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(547, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
547.2.c.a | $90$ | $4.368$ | None | \(-1\) | \(-4\) | \(1\) | \(2\) |