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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 5
80.10.a.a 80.a 1.a $1$ $41.203$ \(\Q\) None \(0\) \(-174\) \(-625\) \(-4658\) $-$ $+$ $\mathrm{SU}(2)$ \(q-174q^{3}-5^{4}q^{5}-4658q^{7}+10593q^{9}+\cdots\)
80.10.a.b 80.a 1.a $1$ $41.203$ \(\Q\) None \(0\) \(-46\) \(-625\) \(10318\) $-$ $+$ $\mathrm{SU}(2)$ \(q-46q^{3}-5^{4}q^{5}+10318q^{7}-17567q^{9}+\cdots\)
80.10.a.d 80.a 1.a $1$ $41.203$ \(\Q\) None \(0\) \(114\) \(-625\) \(-4242\) $-$ $+$ $\mathrm{SU}(2)$ \(q+114q^{3}-5^{4}q^{5}-4242q^{7}-6687q^{9}+\cdots\)
80.10.a.h 80.a 1.a $2$ $41.203$ \(\Q(\sqrt{6049}) \) None \(0\) \(92\) \(1250\) \(6908\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(46-\beta )q^{3}+5^{4}q^{5}+(3454+37\beta )q^{7}+\cdots\)
80.10.a.j 80.a 1.a $2$ $41.203$ \(\Q(\sqrt{79}) \) None \(0\) \(260\) \(-1250\) \(380\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(130+\beta )q^{3}-5^{4}q^{5}+(190+69\beta )q^{7}+\cdots\)
80.10.a.k 80.a 1.a $3$ $41.203$ 3.3.7117.1 None \(0\) \(-84\) \(1875\) \(5520\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-28-\beta _{1})q^{3}+5^{4}q^{5}+(1840-17\beta _{1}+\cdots)q^{7}+\cdots\)
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