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

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Results (7 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 7
126.10.a.b 126.a 1.a $1$ $64.895$ \(\Q\) None \(-16\) \(0\) \(474\) \(2401\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2^{4}q^{2}+2^{8}q^{4}+474q^{5}+7^{4}q^{7}+\cdots\)
126.10.a.e 126.a 1.a $1$ $64.895$ \(\Q\) None \(16\) \(0\) \(-560\) \(-2401\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2^{4}q^{2}+2^{8}q^{4}-560q^{5}-7^{4}q^{7}+\cdots\)
126.10.a.f 126.a 1.a $1$ $64.895$ \(\Q\) None \(16\) \(0\) \(76\) \(-2401\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2^{4}q^{2}+2^{8}q^{4}+76q^{5}-7^{4}q^{7}+\cdots\)
126.10.a.h 126.a 1.a $1$ $64.895$ \(\Q\) None \(16\) \(0\) \(2290\) \(-2401\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2^{4}q^{2}+2^{8}q^{4}+2290q^{5}-7^{4}q^{7}+\cdots\)
126.10.a.i 126.a 1.a $2$ $64.895$ \(\Q(\sqrt{66739}) \) None \(-32\) \(0\) \(-1064\) \(-4802\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2^{4}q^{2}+2^{8}q^{4}+(-532+\beta )q^{5}+\cdots\)
126.10.a.j 126.a 1.a $2$ $64.895$ \(\Q(\sqrt{243601}) \) None \(-32\) \(0\) \(-534\) \(4802\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2^{4}q^{2}+2^{8}q^{4}+(-267-\beta )q^{5}+\cdots\)
126.10.a.m 126.a 1.a $2$ $64.895$ \(\Q(\sqrt{211}) \) None \(32\) \(0\) \(-2184\) \(4802\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2^{4}q^{2}+2^{8}q^{4}+(-1092+13\beta )q^{5}+\cdots\)
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