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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)

  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 7 13
5824.2.a.k 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}-2q^{9}+3q^{11}-q^{13}+\cdots\)
5824.2.a.q 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.bd 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(2\) \(3\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}+3q^{5}+q^{7}+q^{9}-q^{13}+6q^{15}+\cdots\)
5824.2.a.bh 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.br 5824.a 1.a $2$ $46.505$ \(\Q(\sqrt{2}) \) None \(0\) \(4\) \(2\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(2+\beta )q^{3}+(1+\beta )q^{5}+q^{7}+(3+4\beta )q^{9}+\cdots\)
5824.2.a.bx 5824.a 1.a $3$ $46.505$ 3.3.148.1 None \(0\) \(0\) \(5\) \(3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{3}+(2-\beta _{1})q^{5}+q^{7}+(-\beta _{1}+\cdots)q^{9}+\cdots\)
5824.2.a.cc 5824.a 1.a $4$ $46.505$ 4.4.183064.1 None \(0\) \(-1\) \(0\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+\beta _{3}q^{5}+q^{7}+(2+\beta _{2})q^{9}+\cdots\)
5824.2.a.ck 5824.a 1.a $5$ $46.505$ 5.5.6329476.1 None \(0\) \(0\) \(-3\) \(5\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(-1+\beta _{3})q^{5}+q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
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