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Results (7 matches)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5 7
315.4.a.b 315.a 1.a $1$ $18.586$ \(\Q\) None 315.4.a.b \(-3\) \(0\) \(-5\) \(7\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{2}+q^{4}-5q^{5}+7q^{7}+21q^{8}+\cdots\)
315.4.a.c 315.a 1.a $1$ $18.586$ \(\Q\) None 35.4.a.a \(-1\) \(0\) \(5\) \(7\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-7q^{4}+5q^{5}+7q^{7}+15q^{8}+\cdots\)
315.4.a.g 315.a 1.a $2$ $18.586$ \(\Q(\sqrt{41}) \) None 105.4.a.g \(-3\) \(0\) \(10\) \(14\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{2}+(3+3\beta )q^{4}+5q^{5}+\cdots\)
315.4.a.i 315.a 1.a $2$ $18.586$ \(\Q(\sqrt{65}) \) None 105.4.a.f \(-1\) \(0\) \(-10\) \(-14\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(8+\beta )q^{4}-5q^{5}-7q^{7}+(-2^{4}+\cdots)q^{8}+\cdots\)
315.4.a.j 315.a 1.a $2$ $18.586$ \(\Q(\sqrt{17}) \) None 315.4.a.h \(1\) \(0\) \(10\) \(-14\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-4+\beta )q^{4}+5q^{5}-7q^{7}+\cdots\)
315.4.a.k 315.a 1.a $2$ $18.586$ \(\Q(\sqrt{2}) \) None 105.4.a.e \(2\) \(0\) \(-10\) \(-14\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+(1+2\beta )q^{4}-5q^{5}-7q^{7}+\cdots\)
315.4.a.n 315.a 1.a $3$ $18.586$ 3.3.22952.1 None 315.4.a.n \(-2\) \(0\) \(-15\) \(21\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(5-2\beta _{1}+\beta _{2})q^{4}+\cdots\)
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