Defining parameters
Level: | \( N \) | = | \( 2183 = 37 \cdot 59 \) |
Weight: | \( k \) | = | \( 1 \) |
Nonzero newspaces: | \( 1 \) | ||
Newform subspaces: | \( 8 \) | ||
Sturm bound: | \(396720\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(2183))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2114 | 2018 | 96 |
Cusp forms | 26 | 24 | 2 |
Eisenstein series | 2088 | 1994 | 94 |
The following table gives the dimensions of subspaces with specified projective image type.
\(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
---|---|---|---|---|
Dimension | 20 | 0 | 4 | 0 |
Trace form
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(2183))\)
We only show spaces with odd 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 |
---|---|---|---|---|
2183.1.c | \(\chi_{2183}(1592, \cdot)\) | None | 0 | 1 |
2183.1.d | \(\chi_{2183}(2182, \cdot)\) | 2183.1.d.a | 1 | 1 |
2183.1.d.b | 1 | |||
2183.1.d.c | 2 | |||
2183.1.d.d | 2 | |||
2183.1.d.e | 3 | |||
2183.1.d.f | 3 | |||
2183.1.d.g | 6 | |||
2183.1.d.h | 6 | |||
2183.1.g | \(\chi_{2183}(709, \cdot)\) | None | 0 | 2 |
2183.1.h | \(\chi_{2183}(471, \cdot)\) | None | 0 | 2 |
2183.1.i | \(\chi_{2183}(766, \cdot)\) | None | 0 | 2 |
2183.1.m | \(\chi_{2183}(60, \cdot)\) | None | 0 | 4 |
2183.1.o | \(\chi_{2183}(530, \cdot)\) | None | 0 | 6 |
2183.1.p | \(\chi_{2183}(58, \cdot)\) | None | 0 | 6 |
2183.1.r | \(\chi_{2183}(237, \cdot)\) | None | 0 | 12 |
2183.1.t | \(\chi_{2183}(73, \cdot)\) | None | 0 | 28 |
2183.1.u | \(\chi_{2183}(38, \cdot)\) | None | 0 | 28 |
2183.1.x | \(\chi_{2183}(68, \cdot)\) | None | 0 | 56 |
2183.1.ba | \(\chi_{2183}(10, \cdot)\) | None | 0 | 56 |
2183.1.bb | \(\chi_{2183}(11, \cdot)\) | None | 0 | 56 |
2183.1.bd | \(\chi_{2183}(29, \cdot)\) | None | 0 | 112 |
2183.1.bf | \(\chi_{2183}(30, \cdot)\) | None | 0 | 168 |
2183.1.bg | \(\chi_{2183}(33, \cdot)\) | None | 0 | 168 |
2183.1.bj | \(\chi_{2183}(5, \cdot)\) | None | 0 | 336 |
Decomposition of \(S_{1}^{\mathrm{old}}(\Gamma_1(2183))\) into lower level spaces
\( S_{1}^{\mathrm{old}}(\Gamma_1(2183)) \cong \) \(S_{1}^{\mathrm{new}}(\Gamma_1(59))\)\(^{\oplus 2}\)