Defining parameters
Level: | \( N \) | = | \( 334 = 2 \cdot 167 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 2 \) | ||
Newform subspaces: | \( 8 \) | ||
Sturm bound: | \(13944\) | ||
Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(334))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3652 | 1161 | 2491 |
Cusp forms | 3321 | 1161 | 2160 |
Eisenstein series | 331 | 0 | 331 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(334))\)
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 \(S_{2}^{\mathrm{old}}(\Gamma_1(334))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(334)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(167))\)\(^{\oplus 2}\)