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Results (3 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 5
25.10.a.a 25.a 1.a $1$ $12.876$ \(\Q\) None \(8\) \(114\) \(0\) \(-4242\) $+$ $\mathrm{SU}(2)$ \(q+8q^{2}+114q^{3}-448q^{4}+912q^{6}+\cdots\)
25.10.a.b 25.a 1.a $2$ $12.876$ \(\Q(\sqrt{1009}) \) None \(10\) \(-260\) \(0\) \(-1700\) $+$ $\mathrm{SU}(2)$ \(q+(5-\beta )q^{2}+(-130+2\beta )q^{3}+(522+\cdots)q^{4}+\cdots\)
25.10.a.c 25.a 1.a $3$ $12.876$ \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(-33\) \(-89\) \(0\) \(-5258\) $+$ $\mathrm{SU}(2)$ \(q+(-11-\beta _{1})q^{2}+(-30-2\beta _{1}+\beta _{2})q^{3}+\cdots\)
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