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Results (7 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 7 127
8001.2.a.d 8001.a 1.a $1$ $63.888$ \(\Q\) None \(1\) \(0\) \(-4\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-4q^{5}-q^{7}-3q^{8}-4q^{10}+\cdots\)
8001.2.a.f 8001.a 1.a $1$ $63.888$ \(\Q\) None \(2\) \(0\) \(0\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}-q^{7}+2q^{13}-2q^{14}+\cdots\)
8001.2.a.h 8001.a 1.a $2$ $63.888$ \(\Q(\sqrt{17}) \) None \(-1\) \(0\) \(-3\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(2+\beta )q^{4}+(-1-\beta )q^{5}-q^{7}+\cdots\)
8001.2.a.i 8001.a 1.a $2$ $63.888$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(3\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{4}+(1+\beta )q^{5}-q^{7}+(2-2\beta )q^{11}+\cdots\)
8001.2.a.m 8001.a 1.a $11$ $63.888$ \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(2\) \(0\) \(-1\) \(-11\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{7}q^{5}-q^{7}+\cdots\)
8001.2.a.q 8001.a 1.a $15$ $63.888$ \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(0\) \(0\) \(-7\) \(-15\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{8}q^{5}-q^{7}+\cdots\)
8001.2.a.r 8001.a 1.a $16$ $63.888$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-5\) \(0\) \(1\) \(-16\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{13}q^{5}-q^{7}+\cdots\)
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