Defining parameters
Level: | \( N \) | = | \( 167 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 2 \) | ||
Newform subspaces: | \( 3 \) | ||
Sturm bound: | \(4648\) | ||
Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(167))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1245 | 1245 | 0 |
Cusp forms | 1080 | 1080 | 0 |
Eisenstein series | 165 | 165 | 0 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(167))\)
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 the newforms together with their dimension.
Label | \(\chi\) | Newforms | Dimension | \(\chi\) degree |
---|---|---|---|---|
167.2.a | \(\chi_{167}(1, \cdot)\) | 167.2.a.a | 2 | 1 |
167.2.a.b | 12 | |||
167.2.c | \(\chi_{167}(2, \cdot)\) | 167.2.c.a | 1066 | 82 |