Defining parameters
Level: | \( N \) | = | \( 12 = 2^{2} \cdot 3 \) |
Weight: | \( k \) | = | \( 20 \) |
Character orbit: | \([\chi]\) | = | 12.b (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | = | \( 12 \) |
Character field: | \(\Q\) | ||
Newforms: | \( 1 \) | ||
Sturm bound: | \(40\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{20}(12, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 40 | 40 | 0 |
Cusp forms | 36 | 36 | 0 |
Eisenstein series | 4 | 4 | 0 |
Trace form
Decomposition of \(S_{20}^{\mathrm{new}}(12, [\chi])\) into irreducible Hecke orbits
Label | Dim. | \(A\) | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
\(a_2\) | \(a_3\) | \(a_5\) | \(a_7\) | ||||||
12.20.b.a | \(36\) | \(27.458\) | None | \(0\) | \(0\) | \(0\) | \(0\) |