Defining parameters
Level: | \( N \) | = | \( 6034 = 2 \cdot 7 \cdot 431 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 16 \) | ||
Sturm bound: | \(4458240\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6034))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1119720 | 356039 | 763681 |
Cusp forms | 1109401 | 356039 | 753362 |
Eisenstein series | 10319 | 0 | 10319 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6034))\)
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 \(S_{2}^{\mathrm{old}}(\Gamma_1(6034))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(6034)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(431))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(862))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3017))\)\(^{\oplus 2}\)