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Results (9 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.a 315.a 1.a $1$ $18.586$ \(\Q\) None 105.4.a.b \(-5\) \(0\) \(-5\) \(7\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-5q^{2}+17q^{4}-5q^{5}+7q^{7}-45q^{8}+\cdots\)
315.4.a.d 315.a 1.a $1$ $18.586$ \(\Q\) None 105.4.a.a \(0\) \(0\) \(-5\) \(7\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-8q^{4}-5q^{5}+7q^{7}-42q^{11}+20q^{13}+\cdots\)
315.4.a.e 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.f 315.a 1.a $2$ $18.586$ \(\Q(\sqrt{2}) \) None 35.4.a.b \(-8\) \(0\) \(10\) \(-14\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-4+\beta )q^{2}+(10-8\beta )q^{4}+5q^{5}+\cdots\)
315.4.a.h 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.l 315.a 1.a $2$ $18.586$ \(\Q(\sqrt{5}) \) None 105.4.a.d \(4\) \(0\) \(10\) \(-14\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(2+\beta )q^{2}+(1+4\beta )q^{4}+5q^{5}-7q^{7}+\cdots\)
315.4.a.m 315.a 1.a $2$ $18.586$ \(\Q(\sqrt{17}) \) None 105.4.a.c \(7\) \(0\) \(10\) \(-14\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(4-\beta )q^{2}+(12-7\beta )q^{4}+5q^{5}-7q^{7}+\cdots\)
315.4.a.o 315.a 1.a $3$ $18.586$ 3.3.22952.1 None 315.4.a.n \(2\) \(0\) \(15\) \(21\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(5-2\beta _{1}+\beta _{2})q^{4}+5q^{5}+\cdots\)
315.4.a.p 315.a 1.a $3$ $18.586$ 3.3.14360.1 None 35.4.a.c \(3\) \(0\) \(-15\) \(21\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(4-\beta _{1}+\beta _{2})q^{4}-5q^{5}+\cdots\)
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