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Results (5 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 23
7406.2.a.q 7406.a 1.a $2$ $59.137$ \(\Q(\sqrt{2}) \) None \(-2\) \(4\) \(0\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+2q^{3}+q^{4}-2\beta q^{5}-2q^{6}+\cdots\)
7406.2.a.y 7406.a 1.a $4$ $59.137$ \(\Q(\zeta_{24})^+\) None \(-4\) \(-4\) \(0\) \(-4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
7406.2.a.bf 7406.a 1.a $5$ $59.137$ \(\Q(\zeta_{22})^+\) None \(-5\) \(-3\) \(4\) \(-5\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1+\beta _{1}-\beta _{4})q^{3}+q^{4}+(2+\cdots)q^{5}+\cdots\)
7406.2.a.bg 7406.a 1.a $5$ $59.137$ \(\Q(\zeta_{22})^+\) None \(-5\) \(4\) \(-3\) \(-5\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+(-\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)
7406.2.a.bq 7406.a 1.a $12$ $59.137$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-12\) \(0\) \(0\) \(-12\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{8}q^{5}-\beta _{1}q^{6}+\cdots\)
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