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Results (8 matches)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
89.2.a.a 89.a 1.a $1$ $0.711$ \(\Q\) None 89.2.a.a \(-1\) \(-1\) \(-1\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}-q^{4}-q^{5}+q^{6}-4q^{7}+\cdots\)
89.2.a.b 89.a 1.a $1$ $0.711$ \(\Q\) None 89.2.a.b \(1\) \(2\) \(-2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+2q^{3}-q^{4}-2q^{5}+2q^{6}+2q^{7}+\cdots\)
89.2.a.c 89.a 1.a $5$ $0.711$ 5.5.535120.1 None 89.2.a.c \(-1\) \(-3\) \(-1\) \(8\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{2}+(-1+\beta _{1})q^{3}+(3-\beta _{1}+\beta _{3}+\cdots)q^{4}+\cdots\)
89.2.b.a 89.b 89.b $6$ $0.711$ 6.0.7009280.1 None 89.2.b.a \(-2\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{2}q^{2}-\beta _{3}q^{3}+(-\beta _{2}+\beta _{4})q^{4}+\cdots\)
89.2.c.a 89.c 89.c $14$ $0.711$ \(\mathbb{Q}[x]/(x^{14} + \cdots)\) None 89.2.c.a \(-2\) \(-2\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{2}q^{2}+\beta _{3}q^{3}+(\beta _{2}-\beta _{3}+\beta _{5}-\beta _{6}+\cdots)q^{4}+\cdots\)
89.2.e.a 89.e 89.e $60$ $0.711$ None 89.2.e.a \(-7\) \(-16\) \(-1\) \(-9\) $\mathrm{SU}(2)[C_{11}]$
89.2.f.a 89.f 89.f $60$ $0.711$ None 89.2.f.a \(-9\) \(0\) \(-9\) \(-11\) $\mathrm{SU}(2)[C_{22}]$
89.2.g.a 89.g 89.g $140$ $0.711$ None 89.2.g.a \(-20\) \(-20\) \(-22\) \(-20\) $\mathrm{SU}(2)[C_{44}]$
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