Defining parameters
Level: | \( N \) | \(=\) | \( 2683 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2683.a (trivial) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(447\) | ||
Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(2683))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 224 | 224 | 0 |
Cusp forms | 223 | 223 | 0 |
Eisenstein series | 1 | 1 | 0 |
The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.
\(2683\) | Dim |
---|---|
\(+\) | \(107\) |
\(-\) | \(116\) |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(2683))\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | A-L signs | $q$-expansion | ||||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | 2683 | |||||||
2683.2.a.a | $107$ | $21.424$ | None | \(-22\) | \(-24\) | \(-72\) | \(-14\) | $+$ | |||
2683.2.a.b | $116$ | $21.424$ | None | \(20\) | \(22\) | \(72\) | \(10\) | $-$ |