Defining parameters
Level: | \( N \) | = | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | = | \( 1 \) |
Nonzero newspaces: | \( 1 \) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(720\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(95))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 75 | 53 | 22 |
Cusp forms | 3 | 3 | 0 |
Eisenstein series | 72 | 50 | 22 |
The following table gives the dimensions of subspaces with specified projective image type.
\(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
---|---|---|---|---|
Dimension | 3 | 0 | 0 | 0 |
Trace form
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(95))\)
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 the newforms together with their dimension.
Label | \(\chi\) | Newforms | Dimension | \(\chi\) degree |
---|---|---|---|---|
95.1.c | \(\chi_{95}(56, \cdot)\) | None | 0 | 1 |
95.1.d | \(\chi_{95}(94, \cdot)\) | 95.1.d.a | 1 | 1 |
95.1.d.b | 2 | |||
95.1.f | \(\chi_{95}(58, \cdot)\) | None | 0 | 2 |
95.1.h | \(\chi_{95}(69, \cdot)\) | None | 0 | 2 |
95.1.j | \(\chi_{95}(31, \cdot)\) | None | 0 | 2 |
95.1.m | \(\chi_{95}(7, \cdot)\) | None | 0 | 4 |
95.1.n | \(\chi_{95}(21, \cdot)\) | None | 0 | 6 |
95.1.o | \(\chi_{95}(14, \cdot)\) | None | 0 | 6 |
95.1.q | \(\chi_{95}(17, \cdot)\) | None | 0 | 12 |