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Results (15 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 37
1850.2.a.a 1850.a 1.a $1$ $14.772$ \(\Q\) None \(-1\) \(-2\) \(0\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}+2q^{6}-4q^{7}-q^{8}+\cdots\)
1850.2.a.b 1850.a 1.a $1$ $14.772$ \(\Q\) None \(-1\) \(-2\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{8}+q^{9}+\cdots\)
1850.2.a.d 1850.a 1.a $1$ $14.772$ \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{7}-q^{8}-3q^{9}-3q^{11}+\cdots\)
1850.2.a.e 1850.a 1.a $1$ $14.772$ \(\Q\) None \(-1\) \(0\) \(0\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{7}-q^{8}-3q^{9}-2q^{13}+\cdots\)
1850.2.a.f 1850.a 1.a $1$ $14.772$ \(\Q\) None \(-1\) \(2\) \(0\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+2q^{3}+q^{4}-2q^{6}-2q^{7}-q^{8}+\cdots\)
1850.2.a.h 1850.a 1.a $1$ $14.772$ \(\Q\) None \(1\) \(-3\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-3q^{3}+q^{4}-3q^{6}+q^{8}+6q^{9}+\cdots\)
1850.2.a.i 1850.a 1.a $1$ $14.772$ \(\Q\) None \(1\) \(-2\) \(0\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-2q^{3}+q^{4}-2q^{6}-q^{7}+q^{8}+\cdots\)
1850.2.a.j 1850.a 1.a $1$ $14.772$ \(\Q\) None \(1\) \(0\) \(0\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{7}+q^{8}-3q^{9}+2q^{13}+\cdots\)
1850.2.a.k 1850.a 1.a $1$ $14.772$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-3q^{9}-4q^{11}-2q^{13}+\cdots\)
1850.2.a.l 1850.a 1.a $1$ $14.772$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}-3q^{9}-3q^{11}+\cdots\)
1850.2.a.m 1850.a 1.a $1$ $14.772$ \(\Q\) None \(1\) \(1\) \(0\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-4q^{7}+q^{8}+\cdots\)
1850.2.a.q 1850.a 1.a $2$ $14.772$ \(\Q(\sqrt{33}) \) None \(-2\) \(-4\) \(0\) \(3\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}+2q^{6}+(1+\beta )q^{7}+\cdots\)
1850.2.a.r 1850.a 1.a $2$ $14.772$ \(\Q(\sqrt{6}) \) None \(-2\) \(-2\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1+\beta )q^{3}+q^{4}+(1-\beta )q^{6}+\cdots\)
1850.2.a.y 1850.a 1.a $3$ $14.772$ 3.3.1524.1 None \(-3\) \(-1\) \(0\) \(-4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(-1+\cdots)q^{7}+\cdots\)
1850.2.a.bb 1850.a 1.a $3$ $14.772$ 3.3.148.1 None \(3\) \(-3\) \(0\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1-\beta _{2})q^{3}+q^{4}+(-1-\beta _{2})q^{6}+\cdots\)
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