Defining parameters
Level: | \( N \) | = | \( 289 = 17^{2} \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 8 \) | ||
Newform subspaces: | \( 24 \) | ||
Sturm bound: | \(13872\) | ||
Trace bound: | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(289))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3668 | 3628 | 40 |
Cusp forms | 3269 | 3259 | 10 |
Eisenstein series | 399 | 369 | 30 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(289))\)
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 \(S_{2}^{\mathrm{old}}(\Gamma_1(289))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(289)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(17))\)\(^{\oplus 2}\)