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Results (35 matches)

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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1369.2.a.a 1369.a 1.a $1$ $10.932$ \(\Q\) None \(-2\) \(1\) \(-2\) \(3\) $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+q^{3}+2q^{4}-2q^{5}-2q^{6}+\cdots\)
1369.2.a.b 1369.a 1.a $1$ $10.932$ \(\Q\) None \(-1\) \(0\) \(-1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-q^{5}+2q^{7}+3q^{8}-3q^{9}+\cdots\)
1369.2.a.c 1369.a 1.a $1$ $10.932$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}-q^{7}-2q^{9}+3q^{11}+\cdots\)
1369.2.a.d 1369.a 1.a $1$ $10.932$ \(\Q\) None \(1\) \(0\) \(1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+q^{5}+2q^{7}-3q^{8}-3q^{9}+\cdots\)
1369.2.a.e 1369.a 1.a $1$ $10.932$ \(\Q\) None \(2\) \(-3\) \(2\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+2q^{2}-3q^{3}+2q^{4}+2q^{5}-6q^{6}+\cdots\)
1369.2.a.f 1369.a 1.a $1$ $10.932$ \(\Q\) None \(2\) \(1\) \(2\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+q^{3}+2q^{4}+2q^{5}+2q^{6}+\cdots\)
1369.2.a.g 1369.a 1.a $2$ $10.932$ \(\Q(\sqrt{3}) \) None \(-2\) \(2\) \(4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(1-\beta )q^{3}-q^{4}+(2+\beta )q^{5}+\cdots\)
1369.2.a.h 1369.a 1.a $2$ $10.932$ \(\Q(\sqrt{3}) \) None \(2\) \(2\) \(-4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(1+\beta )q^{3}-q^{4}+(-2+\beta )q^{5}+\cdots\)
1369.2.a.i 1369.a 1.a $3$ $10.932$ \(\Q(\zeta_{18})^+\) None \(-3\) \(0\) \(3\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}-\beta _{2}q^{3}+(1-2\beta _{1}+\cdots)q^{4}+\cdots\)
1369.2.a.j 1369.a 1.a $3$ $10.932$ \(\Q(\zeta_{18})^+\) None \(0\) \(-3\) \(0\) \(-6\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-1-\beta _{1}+\beta _{2})q^{3}+\beta _{2}q^{4}+\cdots\)
1369.2.a.k 1369.a 1.a $3$ $10.932$ \(\Q(\zeta_{18})^+\) None \(0\) \(-3\) \(0\) \(-6\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-1-\beta _{1}+\beta _{2})q^{3}+\beta _{2}q^{4}+\cdots\)
1369.2.a.l 1369.a 1.a $3$ $10.932$ \(\Q(\zeta_{18})^+\) None \(3\) \(0\) \(-3\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}-\beta _{2}q^{3}+(1-2\beta _{1}+\beta _{2})q^{4}+\cdots\)
1369.2.a.m 1369.a 1.a $18$ $10.932$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(0\) \(6\) \(0\) \(12\) $-$ $\mathrm{SU}(2)$ \(q+(\beta _{1}-\beta _{13})q^{2}+(-\beta _{7}+\beta _{14})q^{3}+\cdots\)
1369.2.a.n 1369.a 1.a $27$ $10.932$ None \(-9\) \(-1\) \(-17\) \(-3\) $+$ $\mathrm{SU}(2)$
1369.2.a.o 1369.a 1.a $27$ $10.932$ None \(9\) \(-1\) \(17\) \(-3\) $-$ $\mathrm{SU}(2)$
1369.2.b.a 1369.b 37.b $2$ $10.932$ \(\Q(\sqrt{-1}) \) None \(0\) \(-2\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{3}+2q^{4}-q^{7}-2q^{9}-3q^{11}+\cdots\)
1369.2.b.b 1369.b 37.b $2$ $10.932$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(4\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+q^{4}-iq^{5}+2q^{7}+3iq^{8}+\cdots\)
1369.2.b.c 1369.b 37.b $2$ $10.932$ \(\Q(\sqrt{-1}) \) None \(0\) \(6\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+3q^{3}-2q^{4}-iq^{5}+3iq^{6}+\cdots\)
1369.2.b.d 1369.b 37.b $4$ $10.932$ \(\Q(\zeta_{12})\) None \(0\) \(-4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\zeta_{12}q^{2}+(-1+\zeta_{12}^{3})q^{3}+q^{4}+\cdots\)
1369.2.b.e 1369.b 37.b $6$ $10.932$ 6.0.419904.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(\beta _{1}+\beta _{3})q^{2}-\beta _{2}q^{3}+(-1-\beta _{2}+\cdots)q^{4}+\cdots\)
1369.2.b.f 1369.b 37.b $6$ $10.932$ 6.0.419904.1 None \(0\) \(6\) \(0\) \(-12\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}+(1+\beta _{4})q^{3}+\beta _{2}q^{4}+(-2\beta _{1}+\cdots)q^{5}+\cdots\)
1369.2.b.g 1369.b 37.b $18$ $10.932$ \(\mathbb{Q}[x]/(x^{18} + \cdots)\) None \(0\) \(-6\) \(0\) \(12\) $\mathrm{SU}(2)[C_{2}]$ \(q+(\beta _{1}+\beta _{12})q^{2}+(\beta _{7}-\beta _{15})q^{3}+(-1+\cdots)q^{4}+\cdots\)
1369.2.b.h 1369.b 37.b $54$ $10.932$ None \(0\) \(2\) \(0\) \(-6\) $\mathrm{SU}(2)[C_{2}]$
1369.4.a.a 1369.a 1.a $4$ $80.774$ 4.4.603852.1 None \(0\) \(3\) \(-33\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1-\beta _{1}+\beta _{2}-\beta _{3})q^{3}+(5+\cdots)q^{4}+\cdots\)
1369.4.a.b 1369.a 1.a $4$ $80.774$ 4.4.603852.1 None \(0\) \(3\) \(33\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1-\beta _{1}+\beta _{2}-\beta _{3})q^{3}+(5+\cdots)q^{4}+\cdots\)
1369.4.a.c 1369.a 1.a $4$ $80.774$ 4.4.21208.1 None \(6\) \(-11\) \(29\) \(-32\) $+$ $\mathrm{SU}(2)$ \(q+(2-\beta _{2}+\beta _{3})q^{2}+(-2-2\beta _{2}+\beta _{3})q^{3}+\cdots\)
1369.4.a.d 1369.a 1.a $5$ $80.774$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-4\) \(13\) \(-11\) \(24\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(3-\beta _{2})q^{3}+(3-\beta _{1}+\cdots)q^{4}+\cdots\)
1369.4.a.e 1369.a 1.a $9$ $80.774$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-2\) \(-1\) \(-3\) \(25\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(4+\beta _{1}+\beta _{2})q^{4}+\cdots\)
1369.4.a.f 1369.a 1.a $9$ $80.774$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(2\) \(-1\) \(3\) \(25\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{3}q^{3}+(4+\beta _{1}+\beta _{2})q^{4}+\cdots\)
1369.4.a.g 1369.a 1.a $16$ $80.774$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(-6\) \(0\) \(-46\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{8}q^{3}+(2+\beta _{3})q^{4}+(-\beta _{4}+\cdots)q^{5}+\cdots\)
1369.4.a.h 1369.a 1.a $27$ $80.774$ None \(-6\) \(18\) \(12\) \(42\) $+$ $\mathrm{SU}(2)$
1369.4.a.i 1369.a 1.a $27$ $80.774$ None \(6\) \(18\) \(-12\) \(42\) $+$ $\mathrm{SU}(2)$
1369.4.a.j 1369.a 1.a $48$ $80.774$ None \(0\) \(-36\) \(0\) \(-84\) $-$ $\mathrm{SU}(2)$
1369.4.a.k 1369.a 1.a $81$ $80.774$ None \(-18\) \(-1\) \(-86\) \(4\) $-$ $\mathrm{SU}(2)$
1369.4.a.l 1369.a 1.a $81$ $80.774$ None \(18\) \(-1\) \(86\) \(4\) $+$ $\mathrm{SU}(2)$
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