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Results (13 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 41
2624.2.a.d 2624.a 1.a $1$ $20.953$ \(\Q\) None \(0\) \(0\) \(2\) \(-2\) $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-2q^{7}-3q^{9}+4q^{13}-2q^{17}+\cdots\)
2624.2.a.f 2624.a 1.a $1$ $20.953$ \(\Q\) None \(0\) \(2\) \(-2\) \(2\) $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}-2q^{5}+2q^{7}+q^{9}+2q^{11}+\cdots\)
2624.2.a.g 2624.a 1.a $1$ $20.953$ \(\Q\) None \(0\) \(2\) \(2\) \(-4\) $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}+2q^{5}-4q^{7}+q^{9}+2q^{11}+\cdots\)
2624.2.a.i 2624.a 1.a $2$ $20.953$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(2\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+(1+\beta )q^{7}+(1-2\beta )q^{9}+\cdots\)
2624.2.a.j 2624.a 1.a $2$ $20.953$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(-4\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-2\beta q^{5}+(-2+\beta )q^{7}-q^{9}+\cdots\)
2624.2.a.k 2624.a 1.a $2$ $20.953$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+\beta q^{7}-q^{9}-\beta q^{11}+2q^{13}+\cdots\)
2624.2.a.n 2624.a 1.a $3$ $20.953$ 3.3.148.1 None \(0\) \(-4\) \(2\) \(2\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{1})q^{3}+(1-\beta _{1}+\beta _{2})q^{5}+\cdots\)
2624.2.a.o 2624.a 1.a $3$ $20.953$ 3.3.788.1 None \(0\) \(-2\) \(-2\) \(-4\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+(-1+\beta _{2})q^{5}+(-1+\cdots)q^{7}+\cdots\)
2624.2.a.p 2624.a 1.a $3$ $20.953$ 3.3.148.1 None \(0\) \(-2\) \(-2\) \(2\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+(-1+\beta _{1}+\beta _{2})q^{5}+\cdots\)
2624.2.a.q 2624.a 1.a $3$ $20.953$ 3.3.148.1 None \(0\) \(0\) \(2\) \(-6\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{3}+(1-\beta _{1}-\beta _{2})q^{5}+(-2+\beta _{2})q^{7}+\cdots\)
2624.2.a.s 2624.a 1.a $3$ $20.953$ 3.3.148.1 None \(0\) \(2\) \(-2\) \(-2\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}+(-1+\beta _{1}+\beta _{2})q^{5}+\cdots\)
2624.2.a.v 2624.a 1.a $4$ $20.953$ 4.4.25808.1 None \(0\) \(-2\) \(-4\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(\beta _{1}-\beta _{2})q^{3}+(-2+\beta _{2}-\beta _{3})q^{5}+\cdots\)
2624.2.a.w 2624.a 1.a $4$ $20.953$ \(\Q(\sqrt{2}, \sqrt{5})\) None \(0\) \(0\) \(-4\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(-1-\beta _{2})q^{5}+\beta _{3}q^{7}+\beta _{2}q^{9}+\cdots\)
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