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Results (4 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 19
5054.2.a.g 5054.a 1.a $2$ $40.356$ \(\Q(\sqrt{5}) \) None \(-2\) \(1\) \(-3\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}+(-1-\beta )q^{5}-\beta q^{6}+\cdots\)
5054.2.a.w 5054.a 1.a $4$ $40.356$ 4.4.151572.1 None \(-4\) \(-1\) \(1\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{1}q^{3}+q^{4}+(\beta _{1}+\beta _{3})q^{5}+\cdots\)
5054.2.a.bg 5054.a 1.a $8$ $40.356$ 8.8.\(\cdots\).1 None \(-8\) \(4\) \(-2\) \(8\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(1+\beta _{2}+\beta _{5})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
5054.2.a.bl 5054.a 1.a $12$ $40.356$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-12\) \(-3\) \(3\) \(12\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{1}q^{3}+q^{4}+(\beta _{2}-\beta _{5})q^{5}+\cdots\)
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