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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 5 19
5700.2.a.d 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-4q^{11}+6q^{17}+\cdots\)
5700.2.a.f 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(-1\) \(0\) \(2\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{7}+q^{9}+4q^{13}+2q^{17}+\cdots\)
5700.2.a.i 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(-1\) \(0\) \(5\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+5q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
5700.2.a.s 5700.a 1.a $2$ $45.515$ \(\Q(\sqrt{10}) \) None \(0\) \(-2\) \(0\) \(-8\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-4q^{7}+q^{9}+(1+\beta )q^{11}+2\beta q^{13}+\cdots\)
5700.2.a.w 5700.a 1.a $3$ $45.515$ 3.3.564.1 None \(0\) \(-3\) \(0\) \(-4\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(-1+\beta _{2})q^{7}+q^{9}+(2+\beta _{1}+\cdots)q^{11}+\cdots\)
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