Defining parameters
Level: | \( N \) | \(=\) | \( 3 \) |
Weight: | \( k \) | \(=\) | \( 11 \) |
Character orbit: | \([\chi]\) | \(=\) | 3.b (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3 \) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(3\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{11}(3, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 4 | 4 | 0 |
Cusp forms | 2 | 2 | 0 |
Eisenstein series | 2 | 2 | 0 |
Trace form
Decomposition of \(S_{11}^{\mathrm{new}}(3, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
3.11.b.a | $2$ | $1.906$ | \(\Q(\sqrt{-5}) \) | None | \(0\) | \(-54\) | \(0\) | \(34468\) | \(q+\beta q^{2}+(-3^{3}+9\beta )q^{3}+304q^{4}+\cdots\) |