Defining parameters
Level: | \( N \) | = | \( 6037 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 8 \) | ||
Sturm bound: | \(6074228\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6037))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1521575 | 1521575 | 0 |
Cusp forms | 1515540 | 1515540 | 0 |
Eisenstein series | 6035 | 6035 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6037))\)
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 |
---|---|---|---|---|
6037.2.a | \(\chi_{6037}(1, \cdot)\) | 6037.2.a.a | 243 | 1 |
6037.2.a.b | 259 | |||
6037.2.b | \(\chi_{6037}(6036, \cdot)\) | n/a | 502 | 1 |
6037.2.c | \(\chi_{6037}(509, \cdot)\) | n/a | 1004 | 2 |
6037.2.e | \(\chi_{6037}(510, \cdot)\) | n/a | 1006 | 2 |
6037.2.g | \(\chi_{6037}(14, \cdot)\) | n/a | 251502 | 502 |
6037.2.h | \(\chi_{6037}(4, \cdot)\) | n/a | 252004 | 502 |
6037.2.i | \(\chi_{6037}(9, \cdot)\) | n/a | 504008 | 1004 |
6037.2.k | \(\chi_{6037}(3, \cdot)\) | n/a | 505012 | 1004 |
"n/a" means that newforms for that character have not been added to the database yet