Defining parameters
Level: | \( N \) | \(=\) | \( 11 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
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: | \(10\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{10}(11, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 40 | 40 | 0 |
Cusp forms | 32 | 32 | 0 |
Eisenstein series | 8 | 8 | 0 |
Trace form
Decomposition of \(S_{10}^{\mathrm{new}}(11, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
11.10.c.a | $32$ | $5.665$ | None | \(-21\) | \(69\) | \(225\) | \(-10675\) |