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Results (6 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 7
1176.4.a.a 1176.a 1.a $1$ $69.386$ \(\Q\) None \(0\) \(-3\) \(-14\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-14q^{5}+9q^{9}-28q^{11}+74q^{13}+\cdots\)
1176.4.a.b 1176.a 1.a $1$ $69.386$ \(\Q\) None \(0\) \(-3\) \(-12\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-12q^{5}+9q^{9}-60q^{11}-44q^{13}+\cdots\)
1176.4.a.e 1176.a 1.a $1$ $69.386$ \(\Q\) None \(0\) \(-3\) \(2\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+2q^{5}+9q^{9}+52q^{11}-86q^{13}+\cdots\)
1176.4.a.h 1176.a 1.a $1$ $69.386$ \(\Q\) None \(0\) \(-3\) \(16\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+2^{4}q^{5}+9q^{9}-18q^{11}+54q^{13}+\cdots\)
1176.4.a.s 1176.a 1.a $2$ $69.386$ \(\Q(\sqrt{137}) \) None \(0\) \(-6\) \(18\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+(9-\beta )q^{5}+9q^{9}+(29+3\beta )q^{11}+\cdots\)
1176.4.a.ba 1176.a 1.a $4$ $69.386$ \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(0\) \(-12\) \(-4\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+(-1-\beta _{1})q^{5}+9q^{9}+(3+2\beta _{1}+\cdots)q^{11}+\cdots\)
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