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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3
2592.2.a.a 2592.a 1.a $1$ $20.697$ \(\Q\) None \(0\) \(0\) \(-4\) \(-2\) $-$ $-$ $\mathrm{SU}(2)$ \(q-4q^{5}-2q^{7}+5q^{11}-2q^{13}+3q^{17}+\cdots\)
2592.2.a.i 2592.a 1.a $2$ $20.697$ \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(-4\) \(0\) $-$ $-$ $N(\mathrm{U}(1))$ \(q+(-2+\beta )q^{5}+(3-2\beta )q^{13}+(-4+\cdots)q^{17}+\cdots\)
2592.2.a.o 2592.a 1.a $2$ $20.697$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(2\) \(-2\) $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+(-1-\beta )q^{7}+(-1+\beta )q^{11}+\cdots\)
2592.2.a.p 2592.a 1.a $2$ $20.697$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+\beta q^{7}+\beta q^{11}-3q^{13}-4q^{17}+\cdots\)
2592.2.a.v 2592.a 1.a $4$ $20.697$ \(\Q(\sqrt{3}, \sqrt{7})\) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{5}+(\beta _{1}-\beta _{2})q^{7}+(-1-\beta _{3})q^{11}+\cdots\)
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