Defining parameters
Level: | \( N \) | = | \( 185 = 5 \cdot 37 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 18 \) | ||
Newform subspaces: | \( 31 \) | ||
Sturm bound: | \(5472\) | ||
Trace bound: | \(3\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(185))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1512 | 1357 | 155 |
Cusp forms | 1225 | 1145 | 80 |
Eisenstein series | 287 | 212 | 75 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(185))\)
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 \(S_{2}^{\mathrm{old}}(\Gamma_1(185))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(185)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(5))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(37))\)\(^{\oplus 2}\)