Defining parameters
Level: | \( N \) | = | \( 25 = 5^{2} \) |
Weight: | \( k \) | = | \( 3 \) |
Nonzero newspaces: | \( 2 \) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(150\) | ||
Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(\Gamma_1(25))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 64 | 56 | 8 |
Cusp forms | 36 | 36 | 0 |
Eisenstein series | 28 | 20 | 8 |
Trace form
Decomposition of \(S_{3}^{\mathrm{new}}(\Gamma_1(25))\)
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 |
---|---|---|---|---|
25.3.c | \(\chi_{25}(7, \cdot)\) | 25.3.c.a | 4 | 2 |
25.3.f | \(\chi_{25}(2, \cdot)\) | 25.3.f.a | 32 | 8 |