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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 3 7
6048.2.a.a 6048.a 1.a $1$ $48.294$ \(\Q\) None \(0\) \(0\) \(-3\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-3q^{5}-q^{7}-2q^{11}-4q^{13}+5q^{17}+\cdots\)
6048.2.a.k 6048.a 1.a $1$ $48.294$ \(\Q\) None \(0\) \(0\) \(0\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{7}-4q^{11}+q^{13}+5q^{17}+2q^{19}+\cdots\)
6048.2.a.p 6048.a 1.a $1$ $48.294$ \(\Q\) None \(0\) \(0\) \(1\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}+2q^{11}+q^{17}+4q^{19}+\cdots\)
6048.2.a.bg 6048.a 1.a $2$ $48.294$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}-q^{7}+(-1-\beta )q^{11}+2\beta q^{13}+\cdots\)
6048.2.a.bh 6048.a 1.a $2$ $48.294$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}-q^{7}+(2-\beta )q^{11}-\beta q^{13}+\cdots\)
6048.2.a.bm 6048.a 1.a $4$ $48.294$ 4.4.22896.1 None \(0\) \(0\) \(-2\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{5}-q^{7}-\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots\)
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