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Results (5 matches)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3
162.8.a.b 162.a 1.a $1$ $50.606$ \(\Q\) None 162.8.a.a \(8\) \(0\) \(-165\) \(-508\) $-$ $+$ $\mathrm{SU}(2)$ \(q+8q^{2}+2^{6}q^{4}-165q^{5}-508q^{7}+\cdots\)
162.8.a.d 162.a 1.a $2$ $50.606$ \(\Q(\sqrt{1929}) \) None 162.8.a.c \(16\) \(0\) \(-114\) \(280\) $-$ $+$ $\mathrm{SU}(2)$ \(q+8q^{2}+2^{6}q^{4}+(-57-\beta )q^{5}+(140+\cdots)q^{7}+\cdots\)
162.8.a.e 162.a 1.a $3$ $50.606$ 3.3.69765.1 None 18.8.c.a \(-24\) \(0\) \(54\) \(-210\) $+$ $-$ $\mathrm{SU}(2)$ \(q-8q^{2}+2^{6}q^{4}+(18+2\beta _{1}-3\beta _{2})q^{5}+\cdots\)
162.8.a.f 162.a 1.a $3$ $50.606$ 3.3.69765.1 None 18.8.c.a \(24\) \(0\) \(-54\) \(-210\) $-$ $+$ $\mathrm{SU}(2)$ \(q+8q^{2}+2^{6}q^{4}+(-18-2\beta _{1}+3\beta _{2})q^{5}+\cdots\)
162.8.a.g 162.a 1.a $4$ $50.606$ 4.4.43103376.1 None 162.8.a.g \(-32\) \(0\) \(-528\) \(560\) $+$ $-$ $\mathrm{SU}(2)$ \(q-8q^{2}+2^{6}q^{4}+(-132+\beta _{1})q^{5}+\cdots\)
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