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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 (8 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 7 13
5824.2.a.m 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(0\) \(-2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+q^{7}-3q^{9}+4q^{11}+q^{13}+\cdots\)
5824.2.a.t 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(0\) \(3\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{5}+q^{7}-3q^{9}-6q^{11}+q^{13}+\cdots\)
5824.2.a.bf 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(3\) \(4\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+4q^{5}+q^{7}+6q^{9}+q^{11}+\cdots\)
5824.2.a.bi 5824.a 1.a $2$ $46.505$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+\beta q^{5}+q^{7}+(1-2\beta )q^{9}+\cdots\)
5824.2.a.bn 5824.a 1.a $2$ $46.505$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(2\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(1-\beta )q^{5}+q^{7}+3q^{9}+(4+\cdots)q^{11}+\cdots\)
5824.2.a.cd 5824.a 1.a $4$ $46.505$ 4.4.33844.1 None \(0\) \(-1\) \(1\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-\beta _{3}q^{5}+q^{7}+(\beta _{1}+\beta _{2})q^{9}+\cdots\)
5824.2.a.ce 5824.a 1.a $4$ $46.505$ 4.4.64268.1 None \(0\) \(1\) \(-2\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(-1-\beta _{2})q^{5}+q^{7}+(3+\beta _{1}+\cdots)q^{9}+\cdots\)
5824.2.a.cl 5824.a 1.a $5$ $46.505$ 5.5.1025428.1 None \(0\) \(5\) \(3\) \(5\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{1})q^{3}+(1-\beta _{4})q^{5}+q^{7}+(1+\cdots)q^{9}+\cdots\)
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