Defining parameters
Level: | \( N \) | = | \( 1202 = 2 \cdot 601 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 18 \) | ||
Sturm bound: | \(180600\) | ||
Trace bound: | \(3\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(1202))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 45750 | 15049 | 30701 |
Cusp forms | 44551 | 15049 | 29502 |
Eisenstein series | 1199 | 0 | 1199 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(1202))\)
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.
"n/a" means that newforms for that character have not been added to the database yet
Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(1202))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(1202)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(601))\)\(^{\oplus 2}\)