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Results (11 matches)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 5 11
2200.2.a.b 2200.a 1.a $1$ $17.567$ \(\Q\) None 440.2.b.b \(0\) \(-2\) \(0\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-4q^{7}+q^{9}+q^{11}+6q^{13}+\cdots\)
2200.2.a.c 2200.a 1.a $1$ $17.567$ \(\Q\) None 440.2.b.a \(0\) \(-2\) \(0\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+2q^{7}+q^{9}-q^{11}-4q^{17}+\cdots\)
2200.2.a.h 2200.a 1.a $1$ $17.567$ \(\Q\) None 440.2.b.c \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}-2q^{9}-q^{11}-q^{17}+q^{19}+\cdots\)
2200.2.a.l 2200.a 1.a $2$ $17.567$ \(\Q(\sqrt{17}) \) None 440.2.a.g \(0\) \(-1\) \(0\) \(-5\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(-2-\beta )q^{7}+(1+\beta )q^{9}-q^{11}+\cdots\)
2200.2.a.m 2200.a 1.a $2$ $17.567$ \(\Q(\sqrt{17}) \) None 440.2.a.f \(0\) \(-1\) \(0\) \(-3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(-2+\beta )q^{7}+(1+\beta )q^{9}+q^{11}+\cdots\)
2200.2.a.n 2200.a 1.a $2$ $17.567$ \(\Q(\sqrt{5}) \) None 2200.2.a.n \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(1-\beta )q^{7}+(-2+\beta )q^{9}-q^{11}+\cdots\)
2200.2.a.o 2200.a 1.a $2$ $17.567$ \(\Q(\sqrt{17}) \) None 88.2.a.b \(0\) \(-1\) \(0\) \(2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+2\beta q^{7}+(1+\beta )q^{9}-q^{11}+\cdots\)
2200.2.a.p 2200.a 1.a $2$ $17.567$ \(\Q(\sqrt{5}) \) None 2200.2.a.p \(0\) \(-1\) \(0\) \(3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(1+\beta )q^{7}+(-2+\beta )q^{9}+q^{11}+\cdots\)
2200.2.a.q 2200.a 1.a $2$ $17.567$ \(\Q(\sqrt{5}) \) None 2200.2.a.p \(0\) \(1\) \(0\) \(-3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(-1-\beta )q^{7}+(-2+\beta )q^{9}+\cdots\)
2200.2.a.r 2200.a 1.a $2$ $17.567$ \(\Q(\sqrt{5}) \) None 2200.2.a.n \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(-1+\beta )q^{7}+(-2+\beta )q^{9}+\cdots\)
2200.2.a.x 2200.a 1.a $4$ $17.567$ 4.4.54764.1 None 440.2.b.d \(0\) \(-1\) \(0\) \(-1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-\beta _{3}q^{7}+(1+\beta _{1}+\beta _{2}+\beta _{3})q^{9}+\cdots\)
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