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Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

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Results (6 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
225.6.a.b 225.a 1.a $1$ $36.086$ \(\Q\) None \(-4\) \(0\) \(0\) \(-225\) $-$ $-$ $\mathrm{SU}(2)$ \(q-4q^{2}-2^{4}q^{4}-15^{2}q^{7}+192q^{8}+\cdots\)
225.6.a.i 225.a 1.a $2$ $36.086$ \(\Q(\sqrt{89}) \) None \(-9\) \(0\) \(0\) \(108\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-4-\beta )q^{2}+(6+9\beta )q^{4}+(42+24\beta )q^{7}+\cdots\)
225.6.a.l 225.a 1.a $2$ $36.086$ \(\Q(\sqrt{241}) \) None \(-5\) \(0\) \(0\) \(200\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-2-\beta )q^{2}+(2^{5}+5\beta )q^{4}+(102+\cdots)q^{7}+\cdots\)
225.6.a.n 225.a 1.a $2$ $36.086$ \(\Q(\sqrt{11}) \) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+12q^{4}+9\beta q^{7}-20\beta q^{8}+\cdots\)
225.6.a.t 225.a 1.a $2$ $36.086$ \(\Q(\sqrt{31}) \) None \(6\) \(0\) \(0\) \(-102\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(3+\beta )q^{2}+(8+6\beta )q^{4}+(-51-24\beta )q^{7}+\cdots\)
225.6.a.u 225.a 1.a $2$ $36.086$ \(\Q(\sqrt{89}) \) None \(9\) \(0\) \(0\) \(-108\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(5-\beta )q^{2}+(15-9\beta )q^{4}+(-66+24\beta )q^{7}+\cdots\)
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