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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3024.1.f.a 3024.f 7.b $2$ $1.509$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-1\) \(q+\zeta_{6}^{2}q^{7}+(-\zeta_{6}-\zeta_{6}^{2})q^{13}+(-\zeta_{6}+\cdots)q^{19}+\cdots\)
3024.1.f.b 3024.f 7.b $2$ $1.509$ \(\Q(\sqrt{-3}) \) None \(\Q(\sqrt{21}) \) \(0\) \(0\) \(0\) \(2\) \(q+(-\zeta_{6}-\zeta_{6}^{2})q^{5}+q^{7}+(-\zeta_{6}-\zeta_{6}^{2}+\cdots)q^{17}+\cdots\)
3024.1.o.a 3024.o 84.h $2$ $1.509$ \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-21}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-\beta q^{5}-q^{7}-\beta q^{11}+q^{19}+\beta q^{23}+\cdots\)
3024.1.o.b 3024.o 84.h $2$ $1.509$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-1\) \(q+\zeta_{6}^{2}q^{7}+(\zeta_{6}+\zeta_{6}^{2})q^{13}-q^{19}+\cdots\)
3024.1.o.c 3024.o 84.h $2$ $1.509$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(1\) \(q-\zeta_{6}^{2}q^{7}+(\zeta_{6}+\zeta_{6}^{2})q^{13}+q^{19}+\cdots\)
3024.1.o.d 3024.o 84.h $2$ $1.509$ \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-21}) \) None \(0\) \(0\) \(0\) \(2\) \(q-\beta q^{5}+q^{7}+\beta q^{11}-q^{19}-\beta q^{23}+\cdots\)
3024.1.bk.a 3024.bk 84.j $2$ $1.509$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-q^{7}+(-\zeta_{6}-\zeta_{6}^{2})q^{13}+\zeta_{6}q^{19}+\cdots\)
3024.1.bk.b 3024.bk 84.j $2$ $1.509$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-1\) \(q+\zeta_{6}^{2}q^{7}+\zeta_{6}q^{19}-\zeta_{6}^{2}q^{25}+\zeta_{6}^{2}q^{31}+\cdots\)
3024.1.bk.c 3024.bk 84.j $2$ $1.509$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(1\) \(q-\zeta_{6}^{2}q^{7}-\zeta_{6}q^{19}-\zeta_{6}^{2}q^{25}-\zeta_{6}^{2}q^{31}+\cdots\)
3024.1.bk.d 3024.bk 84.j $2$ $1.509$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(2\) \(q+q^{7}+(-\zeta_{6}-\zeta_{6}^{2})q^{13}-\zeta_{6}q^{19}+\cdots\)
3024.1.bw.a 3024.bw 252.u $4$ $1.509$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(-2\) \(0\) \(q-\zeta_{12}^{2}q^{5}-\zeta_{12}^{3}q^{7}+\zeta_{12}q^{11}+\cdots\)
3024.1.cd.a 3024.cd 28.g $2$ $1.509$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-q^{7}+q^{13}+\zeta_{6}q^{25}+(1-\zeta_{6}^{2})q^{31}+\cdots\)
3024.1.cd.b 3024.cd 28.g $2$ $1.509$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-1\) \(q-\zeta_{6}q^{7}-q^{13}+(-1-\zeta_{6})q^{19}+\zeta_{6}q^{25}+\cdots\)
3024.1.cd.c 3024.cd 28.g $2$ $1.509$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(1\) \(q+\zeta_{6}q^{7}-q^{13}+(1+\zeta_{6})q^{19}+\zeta_{6}q^{25}+\cdots\)
3024.1.cd.d 3024.cd 28.g $2$ $1.509$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(2\) \(q+q^{7}+q^{13}+\zeta_{6}q^{25}+(-1+\zeta_{6}^{2}+\cdots)q^{31}+\cdots\)
3024.1.cg.a 3024.cg 7.d $2$ $1.509$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-1\) \(q+\zeta_{6}^{2}q^{7}+(-1+\zeta_{6}^{2})q^{19}+\zeta_{6}^{2}q^{25}+\cdots\)
3024.1.cg.b 3024.cg 7.d $2$ $1.509$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(2\) \(q+q^{7}+(\zeta_{6}+\zeta_{6}^{2})q^{13}+\zeta_{6}^{2}q^{25}+\cdots\)
3024.1.dc.a 3024.dc 21.h $2$ $1.509$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-q^{7}-q^{13}-\zeta_{6}^{2}q^{19}-\zeta_{6}q^{25}+\cdots\)
3024.1.dc.b 3024.dc 21.h $2$ $1.509$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(1\) \(q+\zeta_{6}q^{7}+q^{13}+\zeta_{6}^{2}q^{19}-\zeta_{6}q^{25}+\cdots\)
3024.1.dc.c 3024.dc 21.h $4$ $1.509$ \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(0\) \(0\) \(2\) \(q+\beta _{1}q^{5}+\beta _{2}q^{7}+(\beta _{1}-\beta _{3})q^{17}+(1+\cdots)q^{19}+\cdots\)
3024.1.dd.a 3024.dd 252.al $4$ $1.509$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(4\) \(0\) \(q+q^{5}+\zeta_{12}^{5}q^{7}-\zeta_{12}^{3}q^{11}+\zeta_{12}^{2}q^{13}+\cdots\)
3024.1.eg.a 3024.eg 336.at $8$ $1.509$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{7}q^{5}-\zeta_{24}^{6}q^{7}+\cdots\)
3024.1.eg.b 3024.eg 336.at $8$ $1.509$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}+\zeta_{24}^{10}q^{7}+\cdots\)
3024.2.a.a 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(-4\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-4q^{5}+q^{7}-4q^{11}+3q^{13}+7q^{17}+\cdots\)
3024.2.a.b 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(-4\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-4q^{5}+q^{7}+4q^{11}-q^{13}-3q^{17}+\cdots\)
3024.2.a.c 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(-3\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-3q^{5}-q^{7}-3q^{11}-4q^{13}-6q^{17}+\cdots\)
3024.2.a.d 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(-3\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-3q^{5}-q^{7}+2q^{13}-3q^{17}+4q^{19}+\cdots\)
3024.2.a.e 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(-3\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-3q^{5}-q^{7}+3q^{11}+2q^{13}+6q^{17}+\cdots\)
3024.2.a.f 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(-3\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-3q^{5}-q^{7}+6q^{11}-4q^{13}-3q^{17}+\cdots\)
3024.2.a.g 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}-6q^{13}+7q^{17}+8q^{19}+\cdots\)
3024.2.a.h 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}+3q^{11}-2q^{17}-q^{19}+\cdots\)
3024.2.a.i 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}-2q^{11}-4q^{13}+3q^{17}+\cdots\)
3024.2.a.j 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}+q^{11}-4q^{13}+6q^{17}+\cdots\)
3024.2.a.k 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}+2q^{11}-5q^{17}-2q^{19}+\cdots\)
3024.2.a.l 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}+4q^{11}-2q^{13}+3q^{17}+\cdots\)
3024.2.a.m 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}+5q^{11}-2q^{17}+q^{19}+\cdots\)
3024.2.a.n 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}+6q^{11}+4q^{13}+3q^{17}+\cdots\)
3024.2.a.o 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{7}+5q^{13}-3q^{17}-2q^{19}-9q^{23}+\cdots\)
3024.2.a.p 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{7}+5q^{13}+3q^{17}-2q^{19}+9q^{23}+\cdots\)
3024.2.a.q 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}-3q^{11}+2q^{17}-q^{19}+\cdots\)
3024.2.a.r 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}-6q^{13}-7q^{17}+8q^{19}+\cdots\)
3024.2.a.s 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-6q^{11}+4q^{13}-3q^{17}+\cdots\)
3024.2.a.t 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-5q^{11}+2q^{17}+q^{19}+\cdots\)
3024.2.a.u 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-4q^{11}-2q^{13}-3q^{17}+\cdots\)
3024.2.a.v 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-2q^{11}+5q^{17}-2q^{19}+\cdots\)
3024.2.a.w 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-q^{11}-4q^{13}-6q^{17}+\cdots\)
3024.2.a.x 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}+2q^{11}-4q^{13}-3q^{17}+\cdots\)
3024.2.a.y 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(3\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+3q^{5}-q^{7}-6q^{11}-4q^{13}+3q^{17}+\cdots\)
3024.2.a.z 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(3\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+3q^{5}-q^{7}-3q^{11}+2q^{13}-6q^{17}+\cdots\)
3024.2.a.ba 3024.a 1.a $1$ $24.147$ \(\Q\) None None \(0\) \(0\) \(3\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+3q^{5}-q^{7}+2q^{13}+3q^{17}+4q^{19}+\cdots\)
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