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Results (4 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 11
99.8.a.a 99.a 1.a $1$ $30.926$ \(\Q\) None \(-10\) \(0\) \(410\) \(-1028\) $-$ $-$ $\mathrm{SU}(2)$ \(q-10q^{2}-28q^{4}+410q^{5}-1028q^{7}+\cdots\)
99.8.a.d 99.a 1.a $2$ $30.926$ \(\Q(\sqrt{177}) \) None \(19\) \(0\) \(34\) \(-166\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(10-\beta )q^{2}+(2^{4}-19\beta )q^{4}+(6^{2}-38\beta )q^{5}+\cdots\)
99.8.a.e 99.a 1.a $3$ $30.926$ 3.3.115512.1 None \(-9\) \(0\) \(444\) \(1614\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-3-\beta _{1})q^{2}+(-5+13\beta _{1}-\beta _{2})q^{4}+\cdots\)
99.8.a.g 99.a 1.a $4$ $30.926$ \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(0\) \(0\) \(-537\) \(170\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(151+\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots\)
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