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Results (5 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 5 13
5070.2.a.i 5070.a 1.a $1$ $40.484$ \(\Q\) None \(-1\) \(1\) \(-1\) \(-5\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-5q^{7}+\cdots\)
5070.2.a.j 5070.a 1.a $1$ $40.484$ \(\Q\) None \(-1\) \(1\) \(-1\) \(2\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+2q^{7}+\cdots\)
5070.2.a.bb 5070.a 1.a $2$ $40.484$ \(\Q(\sqrt{17}) \) None \(-2\) \(2\) \(-2\) \(-3\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
5070.2.a.bc 5070.a 1.a $2$ $40.484$ \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(-2\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+\beta q^{7}+\cdots\)
5070.2.a.bo 5070.a 1.a $3$ $40.484$ \(\Q(\zeta_{14})^+\) None \(-3\) \(3\) \(-3\) \(10\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(3+\beta _{1}+\cdots)q^{7}+\cdots\)
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