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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 13
507.4.a.g 507.a 1.a $2$ $29.914$ \(\Q(\sqrt{3}) \) None \(0\) \(-6\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-8q^{4}+3\beta q^{5}+6\beta q^{7}+9q^{9}+\cdots\)
507.4.a.j 507.a 1.a $4$ $29.914$ 4.4.5054412.1 None \(0\) \(-12\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-3q^{3}+(7+\beta _{3})q^{4}-\beta _{2}q^{5}+\cdots\)
507.4.a.k 507.a 1.a $4$ $29.914$ \(\Q(\sqrt{3}, \sqrt{17})\) None \(0\) \(-12\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{3}q^{2}-3q^{3}+9q^{4}+(3\beta _{1}-2\beta _{3})q^{5}+\cdots\)
507.4.a.n 507.a 1.a $9$ $29.914$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-8\) \(-27\) \(-41\) \(-1\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}-3q^{3}+(3-2\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
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