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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2352.1.d.a 2352.d 3.b $1$ $1.174$ \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(0\) \(q-q^{3}+q^{9}-q^{13}+q^{19}+q^{25}-q^{27}+\cdots\)
2352.1.d.b 2352.d 3.b $1$ $1.174$ \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(0\) \(q+q^{3}+q^{9}+q^{13}-q^{19}+q^{25}+q^{27}+\cdots\)
2352.1.o.a 2352.o 84.h $2$ $1.174$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-q^{3}+q^{9}+(\zeta_{6}+\zeta_{6}^{2})q^{13}-q^{19}+\cdots\)
2352.1.o.b 2352.o 84.h $2$ $1.174$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(0\) \(q+q^{3}+q^{9}+(\zeta_{6}+\zeta_{6}^{2})q^{13}+q^{19}+\cdots\)
2352.1.z.a 2352.z 84.j $2$ $1.174$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(0\) \(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(-\zeta_{6}-\zeta_{6}^{2})q^{13}+\cdots\)
2352.1.z.b 2352.z 84.j $2$ $1.174$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-21}) \) \(\Q(\sqrt{7}) \) \(0\) \(-1\) \(0\) \(0\) \(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+\zeta_{6}q^{19}-\zeta_{6}^{2}q^{25}+\cdots\)
2352.1.z.c 2352.z 84.j $2$ $1.174$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-21}) \) \(\Q(\sqrt{7}) \) \(0\) \(1\) \(0\) \(0\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}-\zeta_{6}q^{19}-\zeta_{6}^{2}q^{25}+\cdots\)
2352.1.z.d 2352.z 84.j $2$ $1.174$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(0\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(-\zeta_{6}-\zeta_{6}^{2})q^{13}+\cdots\)
2352.1.bn.a 2352.bn 21.h $2$ $1.174$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(0\) \(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+q^{13}+\zeta_{6}q^{19}+\cdots\)
2352.1.by.a 2352.by 588.r $6$ $1.174$ \(\Q(\zeta_{14})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(1\) \(q-\zeta_{14}q^{3}+\zeta_{14}^{5}q^{7}+\zeta_{14}^{2}q^{9}+(-\zeta_{14}^{4}+\cdots)q^{13}+\cdots\)
2352.1.by.b 2352.by 588.r $6$ $1.174$ \(\Q(\zeta_{14})\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-1\) \(q+\zeta_{14}q^{3}-\zeta_{14}^{5}q^{7}+\zeta_{14}^{2}q^{9}+(-\zeta_{14}^{4}+\cdots)q^{13}+\cdots\)
2352.1.cj.a 2352.cj 147.l $6$ $1.174$ \(\Q(\zeta_{14})\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(1\) \(q-\zeta_{14}^{6}q^{3}-\zeta_{14}^{2}q^{7}-\zeta_{14}^{5}q^{9}+\cdots\)
2352.1.cv.a 2352.cv 147.n $12$ $1.174$ \(\Q(\zeta_{21})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-1\) \(q+\zeta_{42}^{5}q^{3}-\zeta_{42}^{4}q^{7}+\zeta_{42}^{10}q^{9}+\cdots\)
2352.1.dj.a 2352.dj 588.af $12$ $1.174$ \(\Q(\zeta_{21})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(1\) \(q-\zeta_{42}^{4}q^{3}+\zeta_{42}^{20}q^{7}+\zeta_{42}^{8}q^{9}+\cdots\)
2352.1.dj.b 2352.dj 588.af $12$ $1.174$ \(\Q(\zeta_{21})\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-1\) \(q+\zeta_{42}^{4}q^{3}-\zeta_{42}^{20}q^{7}+\zeta_{42}^{8}q^{9}+\cdots\)
2352.2.a.a 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(-1\) \(-4\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-4q^{5}+q^{9}-2q^{11}+6q^{13}+\cdots\)
2352.2.a.b 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(-1\) \(-4\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-4q^{5}+q^{9}+4q^{11}-4q^{13}+\cdots\)
2352.2.a.c 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(-1\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}+q^{9}-6q^{13}+2q^{15}+\cdots\)
2352.2.a.d 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(-1\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}+q^{9}+2q^{11}+q^{13}+\cdots\)
2352.2.a.e 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(-1\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}+q^{9}+6q^{11}+3q^{13}+\cdots\)
2352.2.a.f 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-5q^{11}+q^{15}+4q^{17}+\cdots\)
2352.2.a.g 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-3q^{11}+4q^{13}+\cdots\)
2352.2.a.h 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(-1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{9}+4q^{13}+4q^{17}+4q^{19}+\cdots\)
2352.2.a.i 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(-1\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
2352.2.a.j 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(-1\) \(2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}+q^{9}-2q^{11}-4q^{13}+\cdots\)
2352.2.a.k 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(-1\) \(2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}+q^{9}-2q^{11}+3q^{13}+\cdots\)
2352.2.a.l 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(-1\) \(2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}+q^{9}+4q^{11}-6q^{13}+\cdots\)
2352.2.a.m 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(-1\) \(3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{5}+q^{9}-3q^{11}-4q^{13}+\cdots\)
2352.2.a.n 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(1\) \(-3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{5}+q^{9}-3q^{11}+4q^{13}+\cdots\)
2352.2.a.o 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(1\) \(-2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+q^{9}-2q^{11}-3q^{13}+\cdots\)
2352.2.a.p 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(1\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+q^{9}-2q^{11}+4q^{13}+\cdots\)
2352.2.a.q 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(1\) \(-2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+q^{9}+2q^{13}-2q^{15}+\cdots\)
2352.2.a.r 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{9}-4q^{13}-4q^{17}-4q^{19}+\cdots\)
2352.2.a.s 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{9}+6q^{11}-2q^{13}-4q^{19}+\cdots\)
2352.2.a.t 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(1\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-5q^{11}+q^{15}-4q^{17}+\cdots\)
2352.2.a.u 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(1\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-3q^{11}-4q^{13}+\cdots\)
2352.2.a.v 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(1\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
2352.2.a.w 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(1\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{9}+2q^{11}-q^{13}+\cdots\)
2352.2.a.x 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(1\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{9}+6q^{11}-3q^{13}+\cdots\)
2352.2.a.y 2352.a 1.a $1$ $18.781$ \(\Q\) None None \(0\) \(1\) \(4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+4q^{5}+q^{9}+4q^{11}+4q^{13}+\cdots\)
2352.2.a.z 2352.a 1.a $2$ $18.781$ \(\Q(\sqrt{2}) \) None None \(0\) \(-2\) \(-4\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(-2+\beta )q^{5}+q^{9}+(2+2\beta )q^{11}+\cdots\)
2352.2.a.ba 2352.a 1.a $2$ $18.781$ \(\Q(\sqrt{57}) \) None None \(0\) \(-2\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta q^{5}+q^{9}+\beta q^{11}+(-3+\beta )q^{13}+\cdots\)
2352.2.a.bb 2352.a 1.a $2$ $18.781$ \(\Q(\sqrt{2}) \) None None \(0\) \(-2\) \(4\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(2+\beta )q^{5}+q^{9}+(-2-2\beta )q^{11}+\cdots\)
2352.2.a.bc 2352.a 1.a $2$ $18.781$ \(\Q(\sqrt{2}) \) None None \(0\) \(-2\) \(4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(2+\beta )q^{5}+q^{9}+2q^{11}+(4+\cdots)q^{13}+\cdots\)
2352.2.a.bd 2352.a 1.a $2$ $18.781$ \(\Q(\sqrt{2}) \) None None \(0\) \(2\) \(-4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(-2+\beta )q^{5}+q^{9}+(-2+2\beta )q^{11}+\cdots\)
2352.2.a.be 2352.a 1.a $2$ $18.781$ \(\Q(\sqrt{2}) \) None None \(0\) \(2\) \(-4\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+(-2+\beta )q^{5}+q^{9}+2q^{11}+\cdots\)
2352.2.a.bf 2352.a 1.a $2$ $18.781$ \(\Q(\sqrt{57}) \) None None \(0\) \(2\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-\beta q^{5}+q^{9}+\beta q^{11}+(3-\beta )q^{13}+\cdots\)
2352.2.a.bg 2352.a 1.a $2$ $18.781$ \(\Q(\sqrt{2}) \) None None \(0\) \(2\) \(4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(2+\beta )q^{5}+q^{9}+(2-2\beta )q^{11}+\cdots\)
2352.2.b.a 2352.b 28.d $2$ $18.781$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{3}-2\zeta_{6}q^{5}+q^{9}-2\zeta_{6}q^{11}+3\zeta_{6}q^{13}+\cdots\)
2352.2.b.b 2352.b 28.d $2$ $18.781$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{3}-\zeta_{6}q^{5}+q^{9}-3\zeta_{6}q^{11}-4\zeta_{6}q^{13}+\cdots\)
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