Defining parameters
Level: | \( N \) | \(=\) | \( 1 \) |
Weight: | \( k \) | \(=\) | \( 28 \) |
Character orbit: | \([\chi]\) | \(=\) | 1.a (trivial) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(2\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{28}(\Gamma_0(1))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3 | 3 | 0 |
Cusp forms | 2 | 2 | 0 |
Eisenstein series | 1 | 1 | 0 |
Trace form
Decomposition of \(S_{28}^{\mathrm{new}}(\Gamma_0(1))\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | Fricke sign | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | |||||||
1.28.a.a | $2$ | $4.619$ | \(\Q(\sqrt{18209}) \) | None | \(-8280\) | \(-1286280\) | \(5443587900\) | \(-175391963600\) | $+$ | \(q+(-4140-\beta )q^{2}+(-643140-192\beta )q^{3}+\cdots\) |