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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
4732.2.a.b 4732.a 1.a $1$ $37.785$ \(\Q\) None \(0\) \(0\) \(-3\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{5}-q^{7}-3q^{9}+2q^{11}-7q^{17}+\cdots\)
4732.2.a.c 4732.a 1.a $1$ $37.785$ \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}-3q^{9}-2q^{11}-3q^{17}+\cdots\)
4732.2.a.e 4732.a 1.a $1$ $37.785$ \(\Q\) None \(0\) \(0\) \(3\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+3q^{5}-q^{7}-3q^{9}+2q^{11}-4q^{17}+\cdots\)
4732.2.a.h 4732.a 1.a $2$ $37.785$ \(\Q(\sqrt{21}) \) None \(0\) \(-1\) \(3\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(2-\beta )q^{5}-q^{7}+(2+\beta )q^{9}+\cdots\)
4732.2.a.k 4732.a 1.a $2$ $37.785$ \(\Q(\sqrt{13}) \) None \(0\) \(1\) \(3\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(2-\beta )q^{5}-q^{7}+\beta q^{9}+(4+\cdots)q^{11}+\cdots\)
4732.2.a.l 4732.a 1.a $2$ $37.785$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+\beta q^{5}-q^{7}+(1+2\beta )q^{9}+\cdots\)
4732.2.a.n 4732.a 1.a $3$ $37.785$ \(\Q(\zeta_{14})^+\) None \(0\) \(0\) \(2\) \(-3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2\beta _{1}q^{5}-q^{7}-3q^{9}+(-2+\beta _{1}+\cdots)q^{11}+\cdots\)
4732.2.a.q 4732.a 1.a $6$ $37.785$ 6.6.2854789.1 None \(0\) \(6\) \(0\) \(-6\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-\beta _{2}-\beta _{3}+\beta _{4})q^{3}+(\beta _{1}+\beta _{3}-\beta _{5})q^{5}+\cdots\)
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