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Results (7 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 5 13
5265.2.a.f 5265.a 1.a $1$ $42.041$ \(\Q\) None \(-1\) \(0\) \(1\) \(3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+q^{5}+3q^{7}+3q^{8}-q^{10}+\cdots\)
5265.2.a.i 5265.a 1.a $1$ $42.041$ \(\Q\) None \(0\) \(0\) \(1\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{4}+q^{5}-4q^{7}+q^{13}+4q^{16}+\cdots\)
5265.2.a.j 5265.a 1.a $1$ $42.041$ \(\Q\) None \(0\) \(0\) \(1\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{4}+q^{5}+2q^{7}-3q^{11}+q^{13}+\cdots\)
5265.2.a.o 5265.a 1.a $1$ $42.041$ \(\Q\) None \(2\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}+q^{5}+2q^{10}-5q^{11}+\cdots\)
5265.2.a.s 5265.a 1.a $3$ $42.041$ \(\Q(\zeta_{18})^+\) None \(-3\) \(0\) \(3\) \(-3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+\cdots\)
5265.2.a.v 5265.a 1.a $4$ $42.041$ 4.4.16609.1 None \(0\) \(0\) \(4\) \(-6\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+q^{5}+(-2-\beta _{2}+\cdots)q^{7}+\cdots\)
5265.2.a.bb 5265.a 1.a $8$ $42.041$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-1\) \(0\) \(8\) \(-6\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(-1+\beta _{6}+\cdots)q^{7}+\cdots\)
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