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Level Weight Analytic conductor \(Nk^2\) Dim.
Bad \(p\) Char. Primitive character Character order Coefficient field
Self-twists CM/RM discriminant Inner twist count Is self-dual Analytic rank
Coefficient ring index Coefficient ring gens. Projective image Projective image type
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Results (9 matches)

  displayed columns for results
Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 7
4032.2.a.k 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(-2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+q^{7}-4q^{11}+2q^{13}+6q^{17}+\cdots\)
4032.2.a.m 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(-2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+q^{7}+4q^{11}-6q^{13}-2q^{17}+\cdots\)
4032.2.a.n 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(-2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+q^{7}+4q^{11}+6q^{13}+2q^{17}+\cdots\)
4032.2.a.z 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{7}+4q^{11}+4q^{13}+2q^{17}-6q^{19}+\cdots\)
4032.2.a.bi 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+q^{7}-2q^{13}-2q^{17}+4q^{19}+\cdots\)
4032.2.a.bj 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+q^{7}+2q^{13}-6q^{17}-4q^{19}+\cdots\)
4032.2.a.bk 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+q^{7}+4q^{11}-2q^{13}+6q^{17}+\cdots\)
4032.2.a.bn 4032.a 1.a $1$ $32.196$ \(\Q\) None \(0\) \(0\) \(4\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+4q^{5}+q^{7}-2q^{11}+6q^{13}+4q^{17}+\cdots\)
4032.2.a.bs 4032.a 1.a $2$ $32.196$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{5}+q^{7}+(-2+\beta )q^{11}-2q^{13}+\cdots\)
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