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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 127
1143.2.a.a 1143.a 1.a $1$ $9.127$ \(\Q\) None \(-2\) \(0\) \(-3\) \(-4\) $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+2q^{4}-3q^{5}-4q^{7}+6q^{10}+\cdots\)
1143.2.a.e 1143.a 1.a $3$ $9.127$ \(\Q(\zeta_{18})^+\) None \(3\) \(0\) \(6\) \(-3\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+(2+\cdots)q^{5}+\cdots\)
1143.2.a.h 1143.a 1.a $5$ $9.127$ 5.5.81509.1 None \(1\) \(0\) \(5\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(1-\beta _{1}+\beta _{2}+\beta _{4})q^{5}+\cdots\)
1143.2.a.j 1143.a 1.a $9$ $9.127$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(2\) \(0\) \(4\) \(10\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{5}q^{5}+(1-\beta _{8})q^{7}+\cdots\)
1143.2.a.k 1143.a 1.a $16$ $9.127$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(0\) \(10\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{14}q^{5}+(1+\cdots)q^{7}+\cdots\)
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