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Results (6 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 5 11
4840.2.a.e 4840.a 1.a $1$ $38.648$ \(\Q\) None \(0\) \(0\) \(1\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{7}-3q^{9}-6q^{13}+6q^{17}+\cdots\)
4840.2.a.f 4840.a 1.a $1$ $38.648$ \(\Q\) None \(0\) \(0\) \(1\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{7}-3q^{9}+2q^{13}-2q^{17}+\cdots\)
4840.2.a.i 4840.a 1.a $1$ $38.648$ \(\Q\) None \(0\) \(3\) \(1\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+q^{5}-q^{7}+6q^{9}+6q^{13}+\cdots\)
4840.2.a.l 4840.a 1.a $2$ $38.648$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(2\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+q^{5}+(2+\beta )q^{7}-2\beta q^{13}+\cdots\)
4840.2.a.p 4840.a 1.a $2$ $38.648$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+q^{5}+(1+\beta )q^{7}+2\beta q^{9}+\cdots\)
4840.2.a.bh 4840.a 1.a $8$ $38.648$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(1\) \(8\) \(6\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+q^{5}+(1+\beta _{4})q^{7}+(3+\beta _{4}+\cdots)q^{9}+\cdots\)
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