Defining parameters
Level: | \( N \) | \(=\) | \( 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 11.c (of order \(5\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 11 \) |
Character field: | \(\Q(\zeta_{5})\) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(6\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(11, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 24 | 24 | 0 |
Cusp forms | 16 | 16 | 0 |
Eisenstein series | 8 | 8 | 0 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(11, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
11.6.c.a | $16$ | $1.764$ | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) | None | \(-1\) | \(-24\) | \(-10\) | \(196\) | \(q+(1-\beta _{1}-\beta _{2}+\beta _{3}+\beta _{4}+\beta _{7})q^{2}+\cdots\) |