Defining parameters
Level: | \( N \) | = | \( 143 = 11 \cdot 13 \) |
Weight: | \( k \) | = | \( 4 \) |
Nonzero newspaces: | \( 12 \) | ||
Newform subspaces: | \( 17 \) | ||
Sturm bound: | \(6720\) | ||
Trace bound: | \(3\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_1(143))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2640 | 2550 | 90 |
Cusp forms | 2400 | 2350 | 50 |
Eisenstein series | 240 | 200 | 40 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(\Gamma_1(143))\)
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.
Decomposition of \(S_{4}^{\mathrm{old}}(\Gamma_1(143))\) into lower level spaces
\( S_{4}^{\mathrm{old}}(\Gamma_1(143)) \cong \) \(S_{4}^{\mathrm{new}}(\Gamma_1(11))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(13))\)\(^{\oplus 2}\)