Defining parameters
Level: | \( N \) | \(=\) | \( 2664 = 2^{3} \cdot 3^{2} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 1 \) |
Character orbit: | \([\chi]\) | \(=\) | 2664.bw (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2664 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Newform subspaces: | \( 4 \) | ||
Sturm bound: | \(456\) | ||
Trace bound: | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(2664, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 28 | 28 | 0 |
Cusp forms | 20 | 20 | 0 |
Eisenstein series | 8 | 8 | 0 |
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 \(S_{1}^{\mathrm{new}}(2664, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | Image | CM | RM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||||
2664.1.bw.a | $2$ | $1.330$ | \(\Q(\sqrt{-3}) \) | $D_{3}$ | \(\Q(\sqrt{-74}) \) | None | \(-1\) | \(2\) | \(-2\) | \(0\) | \(q-\zeta_{6}q^{2}+q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}+\cdots\) |
2664.1.bw.b | $2$ | $1.330$ | \(\Q(\sqrt{-3}) \) | $D_{3}$ | \(\Q(\sqrt{-74}) \) | None | \(1\) | \(2\) | \(2\) | \(0\) | \(q+\zeta_{6}q^{2}+q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}+\cdots\) |
2664.1.bw.c | $8$ | $1.330$ | \(\Q(\zeta_{15})\) | $D_{15}$ | \(\Q(\sqrt{-74}) \) | None | \(-4\) | \(-2\) | \(2\) | \(0\) | \(q+\zeta_{30}^{10}q^{2}+\zeta_{30}^{12}q^{3}-\zeta_{30}^{5}q^{4}+\cdots\) |
2664.1.bw.d | $8$ | $1.330$ | \(\Q(\zeta_{15})\) | $D_{15}$ | \(\Q(\sqrt{-74}) \) | None | \(4\) | \(-2\) | \(-2\) | \(0\) | \(q-\zeta_{30}^{10}q^{2}+\zeta_{30}^{12}q^{3}-\zeta_{30}^{5}q^{4}+\cdots\) |