Defining parameters
| Level: | \( N \) | = | \( 4882 = 2 \cdot 2441 \) |
| Weight: | \( k \) | = | \( 2 \) |
| Nonzero newspaces: | \( 12 \) | ||
| Sturm bound: | \(2979240\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4882))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 747250 | 248269 | 498981 |
| Cusp forms | 742371 | 248269 | 494102 |
| Eisenstein series | 4879 | 0 | 4879 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4882))\)
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 |
|---|---|---|---|---|
| 4882.2.a | \(\chi_{4882}(1, \cdot)\) | 4882.2.a.a | 1 | 1 |
| 4882.2.a.b | 1 | |||
| 4882.2.a.c | 2 | |||
| 4882.2.a.d | 38 | |||
| 4882.2.a.e | 43 | |||
| 4882.2.a.f | 55 | |||
| 4882.2.a.g | 63 | |||
| 4882.2.b | \(\chi_{4882}(4881, \cdot)\) | n/a | 204 | 1 |
| 4882.2.c | \(\chi_{4882}(1769, \cdot)\) | n/a | 406 | 2 |
| 4882.2.d | \(\chi_{4882}(583, \cdot)\) | n/a | 816 | 4 |
| 4882.2.f | \(\chi_{4882}(211, \cdot)\) | n/a | 816 | 4 |
| 4882.2.g | \(\chi_{4882}(271, \cdot)\) | n/a | 1624 | 8 |
| 4882.2.i | \(\chi_{4882}(59, \cdot)\) | n/a | 12240 | 60 |
| 4882.2.j | \(\chi_{4882}(61, \cdot)\) | n/a | 12240 | 60 |
| 4882.2.k | \(\chi_{4882}(9, \cdot)\) | n/a | 24360 | 120 |
| 4882.2.l | \(\chi_{4882}(5, \cdot)\) | n/a | 48960 | 240 |
| 4882.2.n | \(\chi_{4882}(51, \cdot)\) | n/a | 48960 | 240 |
| 4882.2.o | \(\chi_{4882}(19, \cdot)\) | n/a | 97440 | 480 |
"n/a" means that newforms for that character have not been added to the database yet
Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(4882))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(4882)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2441))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4882))\)\(^{\oplus 1}\)