Defining parameters
Level: | \( N \) | = | \( 983 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 2 \) | ||
Newform subspaces: | \( 3 \) | ||
Sturm bound: | \(161048\) | ||
Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(983))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 40753 | 40753 | 0 |
Cusp forms | 39772 | 39772 | 0 |
Eisenstein series | 981 | 981 | 0 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(983))\)
We only show spaces with even 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 |
---|---|---|---|---|
983.2.a | \(\chi_{983}(1, \cdot)\) | 983.2.a.a | 28 | 1 |
983.2.a.b | 54 | |||
983.2.c | \(\chi_{983}(2, \cdot)\) | 983.2.c.a | 39690 | 490 |