Defining parameters
Level: | \( N \) | = | \( 3229 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 8 \) | ||
Sturm bound: | \(1737740\) | ||
Trace bound: | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(3229))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 436049 | 436049 | 0 |
Cusp forms | 432822 | 432822 | 0 |
Eisenstein series | 3227 | 3227 | 0 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(3229))\)
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 |
---|---|---|---|---|
3229.2.a | \(\chi_{3229}(1, \cdot)\) | 3229.2.a.a | 1 | 1 |
3229.2.a.b | 2 | |||
3229.2.a.c | 123 | |||
3229.2.a.d | 142 | |||
3229.2.b | \(\chi_{3229}(3228, \cdot)\) | n/a | 268 | 1 |
3229.2.c | \(\chi_{3229}(914, \cdot)\) | n/a | 536 | 2 |
3229.2.e | \(\chi_{3229}(915, \cdot)\) | n/a | 538 | 2 |
3229.2.g | \(\chi_{3229}(5, \cdot)\) | n/a | 71556 | 268 |
3229.2.h | \(\chi_{3229}(4, \cdot)\) | n/a | 71824 | 268 |
3229.2.i | \(\chi_{3229}(3, \cdot)\) | n/a | 143648 | 536 |
3229.2.k | \(\chi_{3229}(12, \cdot)\) | n/a | 144184 | 536 |
"n/a" means that newforms for that character have not been added to the database yet