Defining parameters
Level: | \( N \) | = | \( 34 = 2 \cdot 17 \) |
Weight: | \( k \) | = | \( 3 \) |
Nonzero newspaces: | \( 1 \) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(216\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(\Gamma_1(34))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 88 | 24 | 64 |
Cusp forms | 56 | 24 | 32 |
Eisenstein series | 32 | 0 | 32 |
Trace form
Decomposition of \(S_{3}^{\mathrm{new}}(\Gamma_1(34))\)
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 |
---|---|---|---|---|
34.3.e | \(\chi_{34}(3, \cdot)\) | 34.3.e.a | 8 | 8 |
34.3.e.b | 16 |
Decomposition of \(S_{3}^{\mathrm{old}}(\Gamma_1(34))\) into lower level spaces
\( S_{3}^{\mathrm{old}}(\Gamma_1(34)) \cong \) \(S_{3}^{\mathrm{new}}(\Gamma_1(17))\)\(^{\oplus 2}\)