Defining parameters
Level: | \( N \) | = | \( 5043 = 3 \cdot 41^{2} \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 16 \) | ||
Sturm bound: | \(3765440\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(5043))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 946240 | 707541 | 238699 |
Cusp forms | 936481 | 702821 | 233660 |
Eisenstein series | 9759 | 4720 | 5039 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(5043))\)
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.
"n/a" means that newforms for that character have not been added to the database yet
Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(5043))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(5043)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(41))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(123))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1681))\)\(^{\oplus 2}\)