Defining parameters
| Level: | \( N \) | \(=\) | \( 145 = 5 \cdot 29 \) |
| Weight: | \( k \) | \(=\) | \( 1 \) |
| Character orbit: | \([\chi]\) | \(=\) | 145.f (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 145 \) |
| Character field: | \(\Q(i)\) | ||
| Newform subspaces: | \( 1 \) | ||
| Sturm bound: | \(15\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(145, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 6 | 6 | 0 |
| Cusp forms | 2 | 2 | 0 |
| Eisenstein series | 4 | 4 | 0 |
The following table gives the dimensions of subspaces with specified projective image type.
| \(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
|---|---|---|---|---|
| Dimension | 2 | 0 | 0 | 0 |
Trace form
Decomposition of \(S_{1}^{\mathrm{new}}(145, [\chi])\) into newform subspaces
| Label | Dim | $A$ | Field | Image | CM | RM | Traces | $q$-expansion | |||
|---|---|---|---|---|---|---|---|---|---|---|---|
| $a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||||
| 145.1.f.a | $2$ | $0.072$ | \(\Q(\sqrt{-1}) \) | $D_{4}$ | None | \(\Q(\sqrt{5}) \) | \(0\) | \(0\) | \(0\) | \(0\) | \(q+i q^{4}-i q^{5}+i q^{9}+(-i-1)q^{11}+\cdots\) |