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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 13 29
6032.2.a.b 6032.a 1.a $1$ $48.166$ \(\Q\) None \(0\) \(-1\) \(-3\) \(3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-3q^{5}+3q^{7}-2q^{9}+4q^{11}+\cdots\)
6032.2.a.i 6032.a 1.a $2$ $48.166$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(-6\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+2\beta q^{5}+(-3+\beta )q^{7}+\cdots\)
6032.2.a.m 6032.a 1.a $4$ $48.166$ 4.4.27004.1 None \(0\) \(0\) \(7\) \(-3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(\beta _{1}+\beta _{3})q^{3}+(2-\beta _{1})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
6032.2.a.p 6032.a 1.a $5$ $48.166$ 5.5.149169.1 None \(0\) \(2\) \(-2\) \(-3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{4}q^{3}-\beta _{2}q^{5}+(-\beta _{1}+\beta _{3}-\beta _{4})q^{7}+\cdots\)
6032.2.a.u 6032.a 1.a $7$ $48.166$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(-2\) \(-2\) \(-7\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{3}+(-1+\beta _{2}-\beta _{6})q^{5}+(-1+\cdots)q^{7}+\cdots\)
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