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Results (7 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 7 23
1288.2.a.a 1288.a 1.a $1$ $10.285$ \(\Q\) None \(0\) \(-3\) \(-4\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-4q^{5}-q^{7}+6q^{9}+2q^{11}+\cdots\)
1288.2.a.c 1288.a 1.a $1$ $10.285$ \(\Q\) None \(0\) \(-2\) \(0\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{7}+q^{9}-6q^{17}+6q^{19}+\cdots\)
1288.2.a.d 1288.a 1.a $1$ $10.285$ \(\Q\) None \(0\) \(0\) \(2\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-q^{7}-3q^{9}-4q^{13}-4q^{17}+\cdots\)
1288.2.a.e 1288.a 1.a $1$ $10.285$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}-2q^{9}-6q^{11}-3q^{13}+\cdots\)
1288.2.a.j 1288.a 1.a $2$ $10.285$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(-4\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}-2q^{5}-q^{7}+(1+\beta )q^{9}+2\beta q^{11}+\cdots\)
1288.2.a.n 1288.a 1.a $4$ $10.285$ 4.4.8468.1 None \(0\) \(-3\) \(0\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+(-\beta _{2}+\beta _{3})q^{5}+q^{7}+\cdots\)
1288.2.a.o 1288.a 1.a $4$ $10.285$ 4.4.34196.1 None \(0\) \(0\) \(0\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+\beta _{1}q^{5}-q^{7}+(1+\beta _{2})q^{9}+\cdots\)
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