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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 17 59
1003.2.a.b 1003.a 1.a $1$ $8.009$ \(\Q\) None \(0\) \(2\) \(-2\) \(2\) $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-2q^{4}-2q^{5}+2q^{7}+q^{9}+\cdots\)
1003.2.a.e 1003.a 1.a $3$ $8.009$ 3.3.229.1 None \(-3\) \(2\) \(-4\) \(-2\) $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(1+\beta _{2})q^{3}-q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
1003.2.a.f 1003.a 1.a $4$ $8.009$ 4.4.2225.1 None \(-3\) \(-2\) \(1\) \(8\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+\beta _{2}q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1003.2.a.g 1003.a 1.a $10$ $8.009$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-1\) \(-7\) \(-12\) \(-9\) $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{8}q^{2}+(-1+\beta _{1})q^{3}+(2-\beta _{5})q^{4}+\cdots\)
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