Defining parameters
Level: | \( N \) | = | \( 7 \) |
Weight: | \( k \) | = | \( 14 \) |
Nonzero newspaces: | \( 2 \) | ||
Newform subspaces: | \( 3 \) | ||
Sturm bound: | \(56\) | ||
Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{14}(\Gamma_1(7))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 29 | 27 | 2 |
Cusp forms | 23 | 23 | 0 |
Eisenstein series | 6 | 4 | 2 |
Trace form
Decomposition of \(S_{14}^{\mathrm{new}}(\Gamma_1(7))\)
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 |
---|---|---|---|---|
7.14.a | \(\chi_{7}(1, \cdot)\) | 7.14.a.a | 3 | 1 |
7.14.a.b | 4 | |||
7.14.c | \(\chi_{7}(2, \cdot)\) | 7.14.c.a | 16 | 2 |