Defining parameters
| Level: | \( N \) | = | \( 145 = 5 \cdot 29 \) |
| Weight: | \( k \) | = | \( 1 \) |
| Nonzero newspaces: | \( 2 \) | ||
| Newform subspaces: | \( 2 \) | ||
| Sturm bound: | \(1680\) | ||
| Trace bound: | \(7\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(145))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 116 | 84 | 32 |
| Cusp forms | 4 | 4 | 0 |
| Eisenstein series | 112 | 80 | 32 |
The following table gives the dimensions of subspaces with specified projective image type.
| \(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
|---|---|---|---|---|
| Dimension | 4 | 0 | 0 | 0 |
Trace form
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(145))\)
We only show spaces with odd parity, since no modular forms exist when this condition is not satisfied. Within each space \( S_k^{\mathrm{new}}(N, \chi) \) we list available newforms together with their dimension.
| Label | \(\chi\) | Newforms | Dimension | \(\chi\) degree |
|---|---|---|---|---|
| 145.1.f | \(\chi_{145}(99, \cdot)\) | 145.1.f.a | 2 | 2 |
| 145.1.g | \(\chi_{145}(41, \cdot)\) | None | 0 | 2 |
| 145.1.h | \(\chi_{145}(28, \cdot)\) | 145.1.h.a | 2 | 2 |
| 145.1.i | \(\chi_{145}(88, \cdot)\) | None | 0 | 2 |
| 145.1.p | \(\chi_{145}(7, \cdot)\) | None | 0 | 12 |
| 145.1.q | \(\chi_{145}(13, \cdot)\) | None | 0 | 12 |
| 145.1.r | \(\chi_{145}(11, \cdot)\) | None | 0 | 12 |
| 145.1.s | \(\chi_{145}(14, \cdot)\) | None | 0 | 12 |