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Results (10 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 7 23
1449.2.a.d 1449.a 1.a $1$ $11.570$ \(\Q\) None \(1\) \(0\) \(-2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-2q^{5}+q^{7}-3q^{8}-2q^{10}+\cdots\)
1449.2.a.e 1449.a 1.a $1$ $11.570$ \(\Q\) None \(2\) \(0\) \(2\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}+2q^{5}+q^{7}+4q^{10}+\cdots\)
1449.2.a.j 1449.a 1.a $2$ $11.570$ \(\Q(\sqrt{13}) \) None \(1\) \(0\) \(5\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(1+\beta )q^{4}+(3-\beta )q^{5}-q^{7}+\cdots\)
1449.2.a.k 1449.a 1.a $2$ $11.570$ \(\Q(\sqrt{5}) \) None \(3\) \(0\) \(5\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+3\beta q^{4}+(2+\beta )q^{5}+q^{7}+\cdots\)
1449.2.a.m 1449.a 1.a $3$ $11.570$ 3.3.148.1 None \(1\) \(0\) \(-2\) \(-3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(\beta _{1}+\beta _{2})q^{2}+(1+2\beta _{1})q^{4}+(-1+\cdots)q^{5}+\cdots\)
1449.2.a.o 1449.a 1.a $4$ $11.570$ 4.4.15317.1 None \(-2\) \(0\) \(-5\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(-2-\beta _{2}+\cdots)q^{5}+\cdots\)
1449.2.a.p 1449.a 1.a $4$ $11.570$ 4.4.24197.1 None \(0\) \(0\) \(-5\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{3})q^{5}+\cdots\)
1449.2.a.q 1449.a 1.a $4$ $11.570$ 4.4.2624.1 None \(2\) \(0\) \(2\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1}+\beta _{3})q^{2}+(2-2\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots\)
1449.2.a.r 1449.a 1.a $5$ $11.570$ 5.5.2147108.1 None \(-2\) \(0\) \(4\) \(5\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(1+\beta _{4})q^{5}+\cdots\)
1449.2.a.t 1449.a 1.a $5$ $11.570$ 5.5.1337792.1 None \(0\) \(0\) \(4\) \(-5\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1+\beta _{2})q^{5}+\cdots\)
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