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Results (14 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 29
1856.2.a.c 1856.a 1.a $1$ $14.820$ \(\Q\) None \(0\) \(-2\) \(2\) \(4\) $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+2q^{5}+4q^{7}+q^{9}+6q^{11}+\cdots\)
1856.2.a.d 1856.a 1.a $1$ $14.820$ \(\Q\) None \(0\) \(-1\) \(-3\) \(-4\) $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-3q^{5}-4q^{7}-2q^{9}-3q^{11}+\cdots\)
1856.2.a.e 1856.a 1.a $1$ $14.820$ \(\Q\) None \(0\) \(-1\) \(-1\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+2q^{7}-2q^{9}-3q^{11}+\cdots\)
1856.2.a.k 1856.a 1.a $1$ $14.820$ \(\Q\) None \(0\) \(1\) \(-1\) \(-2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-2q^{7}-2q^{9}+3q^{11}+\cdots\)
1856.2.a.m 1856.a 1.a $1$ $14.820$ \(\Q\) None \(0\) \(1\) \(3\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+3q^{5}+2q^{7}-2q^{9}+3q^{11}+\cdots\)
1856.2.a.o 1856.a 1.a $1$ $14.820$ \(\Q\) None \(0\) \(3\) \(-3\) \(4\) $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}-3q^{5}+4q^{7}+6q^{9}+q^{11}+\cdots\)
1856.2.a.p 1856.a 1.a $1$ $14.820$ \(\Q\) None \(0\) \(3\) \(3\) \(-2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+3q^{5}-2q^{7}+6q^{9}+q^{11}+\cdots\)
1856.2.a.s 1856.a 1.a $2$ $14.820$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(2\) \(8\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+(1+2\beta )q^{5}+4q^{7}+\cdots\)
1856.2.a.w 1856.a 1.a $2$ $14.820$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+q^{5}+2\beta q^{7}+2\beta q^{9}+\cdots\)
1856.2.a.y 1856.a 1.a $3$ $14.820$ 3.3.568.1 None \(0\) \(2\) \(-4\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}+(-1+\beta _{2})q^{5}+(2+\beta _{2})q^{9}+\cdots\)
1856.2.a.z 1856.a 1.a $4$ $14.820$ \(\Q(\zeta_{20})^+\) None \(0\) \(0\) \(8\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{3}+(2-\beta _{3})q^{5}+(-\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
1856.2.a.ba 1856.a 1.a $5$ $14.820$ 5.5.230224.1 None \(0\) \(-4\) \(2\) \(4\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}-\beta _{4}q^{5}+(1+\beta _{1}+\beta _{3}+\cdots)q^{7}+\cdots\)
1856.2.a.bb 1856.a 1.a $5$ $14.820$ 5.5.230224.1 None \(0\) \(4\) \(2\) \(-4\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}-\beta _{4}q^{5}+(-1-\beta _{1}-\beta _{3}+\cdots)q^{7}+\cdots\)
1856.2.a.bc 1856.a 1.a $6$ $14.820$ 6.6.68772992.1 None \(0\) \(0\) \(-4\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{4}q^{3}+(-1-\beta _{3})q^{5}-\beta _{1}q^{7}+(2+\cdots)q^{9}+\cdots\)
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