Defining parameters
Level: | \( N \) | \(=\) | \( 24 = 2^{3} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 11 \) |
Character orbit: | \([\chi]\) | \(=\) | 24.h (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 24 \) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 3 \) | ||
Sturm bound: | \(44\) | ||
Trace bound: | \(2\) | ||
Distinguishing \(T_p\): | \(5\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{11}(24, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 42 | 42 | 0 |
Cusp forms | 38 | 38 | 0 |
Eisenstein series | 4 | 4 | 0 |
Trace form
Decomposition of \(S_{11}^{\mathrm{new}}(24, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
24.11.h.a | $1$ | $15.249$ | \(\Q\) | \(\Q(\sqrt{-6}) \) | \(-32\) | \(243\) | \(5282\) | \(24950\) | \(q-2^{5}q^{2}+3^{5}q^{3}+2^{10}q^{4}+5282q^{5}+\cdots\) |
24.11.h.b | $1$ | $15.249$ | \(\Q\) | \(\Q(\sqrt{-6}) \) | \(32\) | \(-243\) | \(-5282\) | \(24950\) | \(q+2^{5}q^{2}-3^{5}q^{3}+2^{10}q^{4}-5282q^{5}+\cdots\) |
24.11.h.c | $36$ | $15.249$ | None | \(0\) | \(0\) | \(0\) | \(-49904\) |