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Results (12 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 3 13 103
8034.2.a.b 8034.a 1.a $1$ $64.152$ \(\Q\) None \(-1\) \(-1\) \(0\) \(-3\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-3q^{7}-q^{8}+\cdots\)
8034.2.a.h 8034.a 1.a $1$ $64.152$ \(\Q\) None \(1\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots\)
8034.2.a.l 8034.a 1.a $2$ $64.152$ \(\Q(\sqrt{17}) \) None \(-2\) \(-2\) \(-4\) \(3\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}+(1+\beta )q^{7}+\cdots\)
8034.2.a.m 8034.a 1.a $2$ $64.152$ \(\Q(\sqrt{65}) \) None \(-2\) \(-2\) \(0\) \(2\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)
8034.2.a.o 8034.a 1.a $7$ $64.152$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-7\) \(-7\) \(2\) \(-9\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+(1-\beta _{1}+\beta _{2}+\beta _{4}+\cdots)q^{5}+\cdots\)
8034.2.a.p 8034.a 1.a $8$ $64.152$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(8\) \(8\) \(-8\) \(-6\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+(-1+\beta _{5}+\beta _{7})q^{5}+\cdots\)
8034.2.a.q 8034.a 1.a $8$ $64.152$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(8\) \(8\) \(-6\) \(-3\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+(-1+\beta _{1})q^{5}+q^{6}+\cdots\)
8034.2.a.r 8034.a 1.a $9$ $64.152$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(9\) \(-9\) \(-4\) \(-4\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}-\beta _{3}q^{7}+\cdots\)
8034.2.a.s 8034.a 1.a $10$ $64.152$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-10\) \(-10\) \(6\) \(-9\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+(1+\beta _{8})q^{5}+q^{6}+\cdots\)
8034.2.a.u 8034.a 1.a $11$ $64.152$ \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(11\) \(-11\) \(-2\) \(-2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+\beta _{9}q^{5}-q^{6}-\beta _{10}q^{7}+\cdots\)
8034.2.a.w 8034.a 1.a $12$ $64.152$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-12\) \(12\) \(-4\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+\beta _{11}q^{5}-q^{6}-\beta _{9}q^{7}+\cdots\)
8034.2.a.bb 8034.a 1.a $14$ $64.152$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-14\) \(14\) \(-6\) \(-4\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}+\beta _{6}q^{7}+\cdots\)
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