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Results (4 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 31
7440.2.a.a 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(-1\) \(-1\) \(-4\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-4q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
7440.2.a.c 7440.a 1.a $1$ $59.409$ \(\Q\) None \(0\) \(-1\) \(-1\) \(-1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}-5q^{11}+2q^{13}+\cdots\)
7440.2.a.bc 7440.a 1.a $2$ $59.409$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-2\) \(-2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+(-1+\beta )q^{7}+q^{9}+4q^{11}+\cdots\)
7440.2.a.bm 7440.a 1.a $3$ $59.409$ 3.3.148.1 None \(0\) \(-3\) \(-3\) \(-2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+(-2\beta _{1}-\beta _{2})q^{7}+q^{9}+\cdots\)
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