Defining parameters
Level: | \( N \) | = | \( 286 = 2 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 12 \) | ||
Newform subspaces: | \( 34 \) | ||
Sturm bound: | \(10080\) | ||
Trace bound: | \(4\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(286))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2760 | 819 | 1941 |
Cusp forms | 2281 | 819 | 1462 |
Eisenstein series | 479 | 0 | 479 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(286))\)
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 \(S_{2}^{\mathrm{old}}(\Gamma_1(286))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(286)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(11))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(13))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(22))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(26))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(143))\)\(^{\oplus 2}\)