Defining parameters
Level: | \( N \) | \(=\) | \( 6037 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6037.a (trivial) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(1006\) | ||
Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(6037))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 503 | 503 | 0 |
Cusp forms | 502 | 502 | 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.
\(6037\) | Dim |
---|---|
\(+\) | \(243\) |
\(-\) | \(259\) |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(6037))\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | A-L signs | $q$-expansion | ||||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | 6037 | |||||||
6037.2.a.a | $243$ | $48.206$ | None | \(-47\) | \(-31\) | \(-40\) | \(-42\) | $+$ | |||
6037.2.a.b | $259$ | $48.206$ | None | \(47\) | \(29\) | \(38\) | \(42\) | $-$ |