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Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

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Results (6 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 19
1216.2.a.a 1216.a 1.a $1$ $9.710$ \(\Q\) None \(0\) \(-3\) \(0\) \(-1\) $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-q^{7}+6q^{9}-2q^{11}+q^{13}+\cdots\)
1216.2.a.b 1216.a 1.a $1$ $9.710$ \(\Q\) None \(0\) \(-2\) \(-3\) \(1\) $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-3q^{5}+q^{7}+q^{9}+3q^{11}+\cdots\)
1216.2.a.i 1216.a 1.a $1$ $9.710$ \(\Q\) None \(0\) \(0\) \(-3\) \(5\) $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{5}+5q^{7}-3q^{9}-5q^{11}+4q^{13}+\cdots\)
1216.2.a.l 1216.a 1.a $1$ $9.710$ \(\Q\) None \(0\) \(1\) \(0\) \(-3\) $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{7}-2q^{9}+2q^{11}-q^{13}+\cdots\)
1216.2.a.m 1216.a 1.a $1$ $9.710$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}-2q^{9}-6q^{11}-5q^{13}+\cdots\)
1216.2.a.t 1216.a 1.a $2$ $9.710$ \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(1\) \(-6\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(1-\beta )q^{5}-3q^{7}+(1+\beta )q^{9}+\cdots\)
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