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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
405.2.a.h 405.a 1.a $2$ $3.234$ \(\Q(\sqrt{3}) \) None \(2\) \(0\) \(-2\) \(-6\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+(2+2\beta )q^{4}-q^{5}+(-3+\cdots)q^{7}+\cdots\)
405.2.a.i 405.a 1.a $3$ $3.234$ 3.3.564.1 None \(-1\) \(0\) \(-3\) \(5\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}-q^{5}+(2-\beta _{1}+\cdots)q^{7}+\cdots\)
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