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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 167
1503.2.a.a 1503.a 1.a $1$ $12.002$ \(\Q\) None \(-1\) \(0\) \(4\) \(4\) $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+4q^{5}+4q^{7}+3q^{8}-4q^{10}+\cdots\)
1503.2.a.d 1503.a 1.a $5$ $12.002$ 5.5.36497.1 None \(4\) \(0\) \(9\) \(-4\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{3})q^{2}+(1+\beta _{1}-2\beta _{3}+\beta _{4})q^{4}+\cdots\)
1503.2.a.f 1503.a 1.a $8$ $12.002$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(3\) \(0\) \(-1\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{3}q^{2}+(1-\beta _{2}+\beta _{5}+\beta _{6}+\beta _{7})q^{4}+\cdots\)
1503.2.a.g 1503.a 1.a $12$ $12.002$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-2\) \(0\) \(-4\) \(11\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{4}+\beta _{6}+\beta _{7})q^{4}+(-1+\cdots)q^{5}+\cdots\)
1503.2.a.i 1503.a 1.a $14$ $12.002$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(6\) \(0\) \(12\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(1+\beta _{11}+\cdots)q^{5}+\cdots\)
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