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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 7 19
931.2.a.d 931.a 1.a $2$ $7.434$ \(\Q(\sqrt{5}) \) None \(-3\) \(3\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{2}+(1+\beta )q^{3}+3\beta q^{4}+\cdots\)
931.2.a.e 931.a 1.a $2$ $7.434$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(-2\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+\beta q^{3}+(1-2\beta )q^{4}+\cdots\)
931.2.a.f 931.a 1.a $2$ $7.434$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(2\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}-\beta q^{3}+(1-2\beta )q^{4}+\cdots\)
931.2.a.h 931.a 1.a $2$ $7.434$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-\beta q^{3}+2\beta q^{5}-2q^{6}-2\beta q^{8}+\cdots\)
931.2.a.i 931.a 1.a $2$ $7.434$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+\beta q^{3}-2\beta q^{5}+2q^{6}-2\beta q^{8}+\cdots\)
931.2.a.j 931.a 1.a $2$ $7.434$ \(\Q(\sqrt{5}) \) None \(1\) \(-3\) \(-2\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-2+\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
931.2.a.l 931.a 1.a $4$ $7.434$ 4.4.5744.1 None \(0\) \(-2\) \(-8\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{2}q^{3}+(\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots\)
931.2.a.p 931.a 1.a $10$ $7.434$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-2\) \(-4\) \(-16\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots\)
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