Defining parameters
Level: | \( N \) | \(=\) | \( 2583 = 3^{2} \cdot 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 1 \) |
Character orbit: | \([\chi]\) | \(=\) | 2583.f (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 287 \) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(336\) | ||
Trace bound: | \(7\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(2583, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 32 | 8 | 24 |
Cusp forms | 24 | 6 | 18 |
Eisenstein series | 8 | 2 | 6 |
The following table gives the dimensions of subspaces with specified projective image type.
\(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
---|---|---|---|---|
Dimension | 6 | 0 | 0 | 0 |
Trace form
Decomposition of \(S_{1}^{\mathrm{new}}(2583, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | Image | CM | RM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||||
2583.1.f.a | $3$ | $1.289$ | \(\Q(\zeta_{14})^+\) | $D_{7}$ | \(\Q(\sqrt{-287}) \) | None | \(1\) | \(0\) | \(0\) | \(-3\) | \(q-\beta _{2}q^{2}+(\beta _{1}-\beta _{2})q^{4}-q^{7}+(\beta _{1}-\beta _{2})q^{8}+\cdots\) |
2583.1.f.b | $3$ | $1.289$ | \(\Q(\zeta_{14})^+\) | $D_{7}$ | \(\Q(\sqrt{-287}) \) | None | \(1\) | \(0\) | \(0\) | \(3\) | \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{7}+(1+\beta _{2})q^{8}+\cdots\) |
Decomposition of \(S_{1}^{\mathrm{old}}(2583, [\chi])\) into lower level spaces
\( S_{1}^{\mathrm{old}}(2583, [\chi]) \cong \)