Defining parameters
Level: | \( N \) | \(=\) | \( 983 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 983.c (of order \(491\) and degree \(490\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 983 \) |
Character field: | \(\Q(\zeta_{491})\) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(164\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(983, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 40670 | 40670 | 0 |
Cusp forms | 39690 | 39690 | 0 |
Eisenstein series | 980 | 980 | 0 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(983, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
983.2.c.a | $39690$ | $7.849$ | None | \(-489\) | \(-487\) | \(-485\) | \(-489\) |