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Results (11 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 13
1560.2.a.b 1560.a 1.a $1$ $12.457$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+4q^{11}+q^{13}+q^{15}+\cdots\)
1560.2.a.c 1560.a 1.a $1$ $12.457$ \(\Q\) None \(0\) \(-1\) \(1\) \(-5\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-5q^{7}+q^{9}+q^{11}+q^{13}+\cdots\)
1560.2.a.d 1560.a 1.a $1$ $12.457$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-4q^{11}+q^{13}-q^{15}+\cdots\)
1560.2.a.e 1560.a 1.a $1$ $12.457$ \(\Q\) None \(0\) \(-1\) \(1\) \(2\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+2q^{7}+q^{9}+4q^{11}-q^{13}+\cdots\)
1560.2.a.f 1560.a 1.a $1$ $12.457$ \(\Q\) None \(0\) \(-1\) \(1\) \(4\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+4q^{7}+q^{9}+4q^{11}+q^{13}+\cdots\)
1560.2.a.i 1560.a 1.a $1$ $12.457$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-q^{13}-q^{15}+2q^{17}+\cdots\)
1560.2.a.k 1560.a 1.a $1$ $12.457$ \(\Q\) None \(0\) \(1\) \(1\) \(-2\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{7}+q^{9}+q^{13}+q^{15}+\cdots\)
1560.2.a.l 1560.a 1.a $1$ $12.457$ \(\Q\) None \(0\) \(1\) \(1\) \(4\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+4q^{7}+q^{9}+q^{13}+q^{15}+\cdots\)
1560.2.a.m 1560.a 1.a $2$ $12.457$ \(\Q(\sqrt{41}) \) None \(0\) \(-2\) \(-2\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-\beta q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots\)
1560.2.a.p 1560.a 1.a $3$ $12.457$ 3.3.1849.1 None \(0\) \(3\) \(-3\) \(5\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+(2-\beta _{1})q^{7}+q^{9}+(1+\beta _{2})q^{11}+\cdots\)
1560.2.a.q 1560.a 1.a $3$ $12.457$ 3.3.940.1 None \(0\) \(3\) \(3\) \(1\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+\beta _{2}q^{7}+q^{9}+(2+\beta _{1}+\cdots)q^{11}+\cdots\)
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