Defining parameters
Level: | \( N \) | = | \( 1511 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 4 \) | ||
Sturm bound: | \(380520\) | ||
Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(1511))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 95885 | 95885 | 0 |
Cusp forms | 94376 | 94376 | 0 |
Eisenstein series | 1509 | 1509 | 0 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(1511))\)
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 |
---|---|---|---|---|
1511.2.a | \(\chi_{1511}(1, \cdot)\) | 1511.2.a.a | 39 | 1 |
1511.2.a.b | 87 | |||
1511.2.c | \(\chi_{1511}(534, \cdot)\) | n/a | 500 | 4 |
1511.2.e | \(\chi_{1511}(3, \cdot)\) | n/a | 18750 | 150 |
1511.2.g | \(\chi_{1511}(2, \cdot)\) | n/a | 75000 | 600 |
"n/a" means that newforms for that character have not been added to the database yet