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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1470.2.a.a 1470.a 1.a $1$ $11.738$ \(\Q\) None \(-1\) \(-1\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots\)
1470.2.a.b 1470.a 1.a $1$ $11.738$ \(\Q\) None \(-1\) \(-1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots\)
1470.2.a.c 1470.a 1.a $1$ $11.738$ \(\Q\) None \(-1\) \(-1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots\)
1470.2.a.d 1470.a 1.a $1$ $11.738$ \(\Q\) None \(-1\) \(-1\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots\)
1470.2.a.e 1470.a 1.a $1$ $11.738$ \(\Q\) None \(-1\) \(-1\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots\)
1470.2.a.f 1470.a 1.a $1$ $11.738$ \(\Q\) None \(-1\) \(1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots\)
1470.2.a.g 1470.a 1.a $1$ $11.738$ \(\Q\) None \(-1\) \(1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots\)
1470.2.a.h 1470.a 1.a $1$ $11.738$ \(\Q\) None \(-1\) \(1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots\)
1470.2.a.i 1470.a 1.a $1$ $11.738$ \(\Q\) None \(-1\) \(1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots\)
1470.2.a.j 1470.a 1.a $1$ $11.738$ \(\Q\) None \(1\) \(-1\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
1470.2.a.k 1470.a 1.a $1$ $11.738$ \(\Q\) None \(1\) \(-1\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
1470.2.a.l 1470.a 1.a $1$ $11.738$ \(\Q\) None \(1\) \(-1\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
1470.2.a.m 1470.a 1.a $1$ $11.738$ \(\Q\) None \(1\) \(-1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
1470.2.a.n 1470.a 1.a $1$ $11.738$ \(\Q\) None \(1\) \(-1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
1470.2.a.o 1470.a 1.a $1$ $11.738$ \(\Q\) None \(1\) \(1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots\)
1470.2.a.p 1470.a 1.a $1$ $11.738$ \(\Q\) None \(1\) \(1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots\)
1470.2.a.q 1470.a 1.a $1$ $11.738$ \(\Q\) None \(1\) \(1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots\)
1470.2.a.r 1470.a 1.a $1$ $11.738$ \(\Q\) None \(1\) \(1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots\)
1470.2.a.s 1470.a 1.a $2$ $11.738$ \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots\)
1470.2.a.t 1470.a 1.a $2$ $11.738$ \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots\)
1470.2.a.u 1470.a 1.a $2$ $11.738$ \(\Q(\sqrt{2}) \) None \(2\) \(-2\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
1470.2.a.v 1470.a 1.a $2$ $11.738$ \(\Q(\sqrt{2}) \) None \(2\) \(2\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots\)
1470.2.b.a 1470.b 21.c $12$ $11.738$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(-4\) \(12\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{4}q^{2}-\beta _{1}q^{3}-q^{4}+q^{5}-\beta _{9}q^{6}+\cdots\)
1470.2.b.b 1470.b 21.c $12$ $11.738$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(4\) \(-12\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{4}q^{2}+\beta _{1}q^{3}-q^{4}-q^{5}+\beta _{9}q^{6}+\cdots\)
1470.2.b.c 1470.b 21.c $16$ $11.738$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(-8\) \(-16\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{9}q^{2}-\beta _{11}q^{3}-q^{4}-q^{5}+(-\beta _{5}+\cdots)q^{6}+\cdots\)
1470.2.b.d 1470.b 21.c $16$ $11.738$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(8\) \(16\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{9}q^{2}+\beta _{11}q^{3}-q^{4}+q^{5}+(\beta _{5}+\cdots)q^{6}+\cdots\)
1470.2.d.a 1470.d 105.g $4$ $11.738$ \(\Q(\sqrt{-3}, \sqrt{-11})\) None \(-4\) \(-1\) \(3\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}-\beta _{1}q^{3}+q^{4}+(1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
1470.2.d.b 1470.d 105.g $4$ $11.738$ \(\Q(\sqrt{-3}, \sqrt{-11})\) None \(-4\) \(1\) \(-3\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}+\beta _{1}q^{3}+q^{4}+(-1-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
1470.2.d.c 1470.d 105.g $4$ $11.738$ \(\Q(\sqrt{-3}, \sqrt{-11})\) None \(4\) \(-1\) \(-3\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}-\beta _{1}q^{3}+q^{4}+(-2\beta _{2}-\beta _{3})q^{5}+\cdots\)
1470.2.d.d 1470.d 105.g $4$ $11.738$ \(\Q(\sqrt{-3}, \sqrt{-11})\) None \(4\) \(1\) \(3\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(2\beta _{2}+\beta _{3})q^{5}+\cdots\)
1470.2.d.e 1470.d 105.g $8$ $11.738$ 8.0.3317760000.3 None \(-8\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}+(\beta _{2}+\beta _{5})q^{3}+q^{4}+(\beta _{2}-\beta _{6}+\cdots)q^{5}+\cdots\)
1470.2.d.f 1470.d 105.g $8$ $11.738$ 8.0.3317760000.3 None \(8\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}+(\beta _{2}+\beta _{5})q^{3}+q^{4}+(-\beta _{2}-\beta _{6}+\cdots)q^{5}+\cdots\)
1470.2.d.g 1470.d 105.g $24$ $11.738$ None \(-24\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
1470.2.d.h 1470.d 105.g $24$ $11.738$ None \(24\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
1470.2.g.a 1470.g 5.b $2$ $11.738$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}+iq^{3}-q^{4}+(-2-i)q^{5}+\cdots\)
1470.2.g.b 1470.g 5.b $2$ $11.738$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots\)
1470.2.g.c 1470.g 5.b $2$ $11.738$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots\)
1470.2.g.d 1470.g 5.b $2$ $11.738$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}+iq^{3}-q^{4}+(1-2i)q^{5}+q^{6}+\cdots\)
1470.2.g.e 1470.g 5.b $2$ $11.738$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-iq^{3}-q^{4}+(1-2i)q^{5}+q^{6}+\cdots\)
1470.2.g.f 1470.g 5.b $2$ $11.738$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-iq^{3}-q^{4}+(2+i)q^{5}-q^{6}+\cdots\)
1470.2.g.g 1470.g 5.b $2$ $11.738$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+iq^{3}-q^{4}+(2-i)q^{5}-q^{6}+\cdots\)
1470.2.g.h 1470.g 5.b $6$ $11.738$ 6.0.29160000.2 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{3}q^{2}-\beta _{3}q^{3}-q^{4}-\beta _{2}q^{5}-q^{6}+\cdots\)
1470.2.g.i 1470.g 5.b $6$ $11.738$ 6.0.29160000.2 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{3}q^{2}+\beta _{3}q^{3}-q^{4}+\beta _{2}q^{5}+q^{6}+\cdots\)
1470.2.g.j 1470.g 5.b $8$ $11.738$ 8.0.1698758656.6 None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{5}q^{2}-\beta _{5}q^{3}-q^{4}+(-1+\beta _{7})q^{5}+\cdots\)
1470.2.g.k 1470.g 5.b $8$ $11.738$ 8.0.1698758656.6 None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{5}q^{2}+\beta _{5}q^{3}-q^{4}+(1-\beta _{7})q^{5}+\cdots\)
1470.2.i.a 1470.i 7.c $2$ $11.738$ \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(-1\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
1470.2.i.b 1470.i 7.c $2$ $11.738$ \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(1\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
1470.2.i.c 1470.i 7.c $2$ $11.738$ \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(1\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
1470.2.i.d 1470.i 7.c $2$ $11.738$ \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(1\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
1470.2.i.e 1470.i 7.c $2$ $11.738$ \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(1\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
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