Defining parameters
Level: | \( N \) | \(=\) | \( 1127 = 7^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 1 \) |
Character orbit: | \([\chi]\) | \(=\) | 1127.v (of order \(66\) and degree \(20\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 161 \) |
Character field: | \(\Q(\zeta_{66})\) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(112\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(1127, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 180 | 100 | 80 |
Cusp forms | 20 | 20 | 0 |
Eisenstein series | 160 | 80 | 80 |
The following table gives the dimensions of subspaces with specified projective image type.
\(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
---|---|---|---|---|
Dimension | 20 | 0 | 0 | 0 |
Trace form
Decomposition of \(S_{1}^{\mathrm{new}}(1127, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | Image | CM | RM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||||
1127.1.v.a | $20$ | $0.562$ | \(\Q(\zeta_{33})\) | $D_{11}$ | \(\Q(\sqrt{-7}) \) | None | \(2\) | \(0\) | \(0\) | \(0\) | \(q+(-\zeta_{66}^{23}-\zeta_{66}^{29})q^{2}+(-\zeta_{66}^{13}+\cdots)q^{4}+\cdots\) |