Defining parameters
Level: | \( N \) | \(=\) | \( 667 = 23 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 667.q (of order \(44\) and degree \(20\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 667 \) |
Character field: | \(\Q(\zeta_{44})\) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(120\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(667, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1240 | 1240 | 0 |
Cusp forms | 1160 | 1160 | 0 |
Eisenstein series | 80 | 80 | 0 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(667, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
667.2.q.a | $1160$ | $5.326$ | None | \(-14\) | \(-18\) | \(0\) | \(-44\) |