Defining parameters
Level: | \( N \) | = | \( 6046 = 2 \cdot 3023 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 2 \) | ||
Sturm bound: | \(4569264\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6046))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1145338 | 380771 | 764567 |
Cusp forms | 1139295 | 380771 | 758524 |
Eisenstein series | 6043 | 0 | 6043 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6046))\)
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 the newforms together with their dimension.
Label | \(\chi\) | Newforms | Dimension | \(\chi\) degree |
---|---|---|---|---|
6046.2.a | \(\chi_{6046}(1, \cdot)\) | 6046.2.a.a | 1 | 1 |
6046.2.a.b | 1 | |||
6046.2.a.c | 2 | |||
6046.2.a.d | 55 | |||
6046.2.a.e | 56 | |||
6046.2.a.f | 67 | |||
6046.2.a.g | 69 | |||
6046.2.c | \(\chi_{6046}(3, \cdot)\) | n/a | 380520 | 1510 |
"n/a" means that newforms for that character have not been added to the database yet
Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(6046))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(6046)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(3023))\)\(^{\oplus 2}\)