Defining parameters
Level: | \( N \) | = | \( 867 = 3 \cdot 17^{2} \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 10 \) | ||
Newform subspaces: | \( 65 \) | ||
Sturm bound: | \(110976\) | ||
Trace bound: | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(867))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 28544 | 21033 | 7511 |
Cusp forms | 26945 | 20297 | 6648 |
Eisenstein series | 1599 | 736 | 863 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(867))\)
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 \(S_{2}^{\mathrm{old}}(\Gamma_1(867))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(867)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(17))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(51))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(289))\)\(^{\oplus 2}\)