Defining parameters
Level: | \( N \) | = | \( 3022 = 2 \cdot 1511 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 4 \) | ||
Sturm bound: | \(1141560\) | ||
Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(3022))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 286900 | 95129 | 191771 |
Cusp forms | 283881 | 95129 | 188752 |
Eisenstein series | 3019 | 0 | 3019 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(3022))\)
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 |
---|---|---|---|---|
3022.2.a | \(\chi_{3022}(1, \cdot)\) | 3022.2.a.a | 28 | 1 |
3022.2.a.b | 28 | |||
3022.2.a.c | 34 | |||
3022.2.a.d | 35 | |||
3022.2.c | \(\chi_{3022}(631, \cdot)\) | n/a | 504 | 4 |
3022.2.e | \(\chi_{3022}(3, \cdot)\) | n/a | 18900 | 150 |
3022.2.g | \(\chi_{3022}(5, \cdot)\) | n/a | 75600 | 600 |
"n/a" means that newforms for that character have not been added to the database yet
Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(3022))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(3022)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(1511))\)\(^{\oplus 2}\)