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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 5 31
465.2.a.a 465.a 1.a $1$ $3.713$ \(\Q\) None \(-1\) \(1\) \(1\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}-q^{4}+q^{5}-q^{6}-4q^{7}+\cdots\)
465.2.a.b 465.a 1.a $1$ $3.713$ \(\Q\) None \(1\) \(-1\) \(1\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}-2q^{7}+\cdots\)
465.2.a.c 465.a 1.a $2$ $3.713$ \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(-2\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}-q^{5}+\cdots\)
465.2.a.d 465.a 1.a $2$ $3.713$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-2\) \(-6\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-q^{3}+q^{4}-q^{5}-\beta q^{6}+(-3+\cdots)q^{7}+\cdots\)
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