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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2240.1.c.a 2240.c 280.c $2$ $1.118$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-35}) \), \(\Q(\sqrt{-10}) \) \(\Q(\sqrt{14}) \) \(0\) \(0\) \(0\) \(-2\) \(q-iq^{5}-q^{7}+q^{9}+iq^{11}+iq^{13}+\cdots\)
2240.1.c.b 2240.c 280.c $2$ $1.118$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-35}) \), \(\Q(\sqrt{-10}) \) \(\Q(\sqrt{14}) \) \(0\) \(0\) \(0\) \(2\) \(q-iq^{5}+q^{7}+q^{9}-iq^{11}+iq^{13}+\cdots\)
2240.1.c.c 2240.c 280.c $4$ $1.118$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(0\) \(-4\) \(q+(-\zeta_{12}^{2}-\zeta_{12}^{4})q^{3}-\zeta_{12}^{3}q^{5}+\cdots\)
2240.1.c.d 2240.c 280.c $4$ $1.118$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(0\) \(4\) \(q+(-\zeta_{12}^{2}-\zeta_{12}^{4})q^{3}-\zeta_{12}^{3}q^{5}+\cdots\)
2240.1.p.a 2240.p 35.c $1$ $1.118$ \(\Q\) \(\Q(\sqrt{-35}) \) None \(0\) \(-1\) \(-1\) \(-1\) \(q-q^{3}-q^{5}-q^{7}-q^{11}+q^{13}+q^{15}+\cdots\)
2240.1.p.b 2240.p 35.c $1$ $1.118$ \(\Q\) \(\Q(\sqrt{-35}) \) None \(0\) \(-1\) \(1\) \(-1\) \(q-q^{3}+q^{5}-q^{7}+q^{11}-q^{13}-q^{15}+\cdots\)
2240.1.p.c 2240.p 35.c $1$ $1.118$ \(\Q\) \(\Q(\sqrt{-35}) \) None \(0\) \(1\) \(-1\) \(1\) \(q+q^{3}-q^{5}+q^{7}+q^{11}+q^{13}-q^{15}+\cdots\)
2240.1.p.d 2240.p 35.c $1$ $1.118$ \(\Q\) \(\Q(\sqrt{-35}) \) None \(0\) \(1\) \(1\) \(1\) \(q+q^{3}+q^{5}+q^{7}-q^{11}-q^{13}+q^{15}+\cdots\)
2240.1.p.e 2240.p 35.c $4$ $1.118$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{8}+\zeta_{8}^{3})q^{3}+\zeta_{8}^{2}q^{5}-\zeta_{8}q^{7}+\cdots\)
2240.1.bk.a 2240.bk 280.y $8$ $1.118$ \(\Q(\zeta_{16})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{16}^{5}+\zeta_{16}^{7})q^{3}-\zeta_{16}^{3}q^{5}+\cdots\)
2240.1.bk.b 2240.bk 280.y $8$ $1.118$ \(\Q(\zeta_{16})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{16}^{5}-\zeta_{16}^{7})q^{3}-\zeta_{16}^{3}q^{5}+\zeta_{16}^{6}q^{7}+\cdots\)
2240.1.br.a 2240.br 35.i $8$ $1.118$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{24}^{7}+\zeta_{24}^{9})q^{3}-\zeta_{24}^{10}q^{5}-\zeta_{24}^{11}q^{7}+\cdots\)
2240.1.bt.a 2240.bt 140.p $2$ $1.118$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(0\) \(-1\) \(1\) \(-1\) \(q+\zeta_{6}^{2}q^{3}+\zeta_{6}q^{5}+\zeta_{6}^{2}q^{7}-q^{15}+\cdots\)
2240.1.bt.b 2240.bt 140.p $2$ $1.118$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(0\) \(1\) \(1\) \(1\) \(q-\zeta_{6}^{2}q^{3}+\zeta_{6}q^{5}-\zeta_{6}^{2}q^{7}+q^{15}+\cdots\)
2240.1.bt.c 2240.bt 140.p $4$ $1.118$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(-2\) \(0\) \(q+(-\zeta_{12}-\zeta_{12}^{3})q^{3}+\zeta_{12}^{4}q^{5}+\zeta_{12}^{5}q^{7}+\cdots\)
2240.1.ca.a 2240.ca 280.ak $4$ $1.118$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(-4\) \(q-\zeta_{12}q^{5}-q^{7}+\zeta_{12}^{4}q^{9}-\zeta_{12}^{5}q^{11}+\cdots\)
2240.1.ca.b 2240.ca 280.ak $4$ $1.118$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(4\) \(q-\zeta_{12}q^{5}+q^{7}+\zeta_{12}^{4}q^{9}+\zeta_{12}^{5}q^{11}+\cdots\)
2240.1.da.a 2240.da 35.l $8$ $1.118$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(4\) \(0\) \(q-\zeta_{24}^{5}q^{3}+\zeta_{24}^{4}q^{5}-\zeta_{24}^{11}q^{7}+\cdots\)
2240.1.dl.a 2240.dl 280.at $8$ $1.118$ \(\Q(\zeta_{24})\) None None \(0\) \(-4\) \(0\) \(0\) \(q+(\zeta_{24}^{2}+\zeta_{24}^{8})q^{3}-\zeta_{24}^{7}q^{5}+\zeta_{24}^{9}q^{7}+\cdots\)
2240.1.dl.b 2240.dl 280.at $8$ $1.118$ \(\Q(\zeta_{24})\) None None \(0\) \(4\) \(0\) \(0\) \(q+(-\zeta_{24}^{2}-\zeta_{24}^{8})q^{3}-\zeta_{24}^{7}q^{5}+\cdots\)
2240.2.a.a 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(-3\) \(-1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-q^{5}-q^{7}+6q^{9}-5q^{11}+\cdots\)
2240.2.a.b 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(-3\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-3q^{3}-q^{5}+q^{7}+6q^{9}-3q^{11}+\cdots\)
2240.2.a.c 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(-3\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+q^{5}-q^{7}+6q^{9}+5q^{11}+\cdots\)
2240.2.a.d 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(-3\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+q^{5}+q^{7}+6q^{9}-q^{11}+q^{13}+\cdots\)
2240.2.a.e 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}-2q^{9}-5q^{11}-5q^{13}+\cdots\)
2240.2.a.f 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}-2q^{9}+3q^{11}+7q^{13}+\cdots\)
2240.2.a.g 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}-2q^{9}-3q^{11}+q^{13}+\cdots\)
2240.2.a.h 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(-1\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}-2q^{9}+q^{11}-3q^{13}+\cdots\)
2240.2.a.i 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(-1\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}-2q^{9}+q^{11}+q^{13}+\cdots\)
2240.2.a.j 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(-1\) \(1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}-2q^{9}-5q^{11}-q^{13}+\cdots\)
2240.2.a.k 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(-1\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}-2q^{9}+3q^{11}-5q^{13}+\cdots\)
2240.2.a.l 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}-3q^{9}+2q^{13}+2q^{17}+\cdots\)
2240.2.a.m 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}-3q^{9}+2q^{13}+2q^{17}+\cdots\)
2240.2.a.n 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}-3q^{9}-4q^{11}+6q^{13}+\cdots\)
2240.2.a.o 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}-3q^{9}+4q^{11}-2q^{13}+\cdots\)
2240.2.a.p 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(0\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-3q^{9}-4q^{11}-2q^{13}+\cdots\)
2240.2.a.q 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(0\) \(1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-3q^{9}+4q^{11}+6q^{13}+\cdots\)
2240.2.a.r 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(1\) \(-1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}-2q^{9}+3q^{11}+q^{13}+\cdots\)
2240.2.a.s 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(1\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}-2q^{9}-3q^{11}+7q^{13}+\cdots\)
2240.2.a.t 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(1\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}-2q^{9}+5q^{11}-5q^{13}+\cdots\)
2240.2.a.u 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(1\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-q^{7}-2q^{9}-3q^{11}-5q^{13}+\cdots\)
2240.2.a.v 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(1\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-q^{7}-2q^{9}+5q^{11}-q^{13}+\cdots\)
2240.2.a.w 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(1\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{7}-2q^{9}-q^{11}-3q^{13}+\cdots\)
2240.2.a.x 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(1\) \(1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{7}-2q^{9}-q^{11}+q^{13}+\cdots\)
2240.2.a.y 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(3\) \(-1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+3q^{3}-q^{5}-q^{7}+6q^{9}+3q^{11}+\cdots\)
2240.2.a.z 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(3\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+3q^{3}-q^{5}+q^{7}+6q^{9}+5q^{11}+\cdots\)
2240.2.a.ba 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(3\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+q^{5}-q^{7}+6q^{9}+q^{11}+q^{13}+\cdots\)
2240.2.a.bb 2240.a 1.a $1$ $17.886$ \(\Q\) None None \(0\) \(3\) \(1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+q^{5}+q^{7}+6q^{9}-5q^{11}+\cdots\)
2240.2.a.bc 2240.a 1.a $2$ $17.886$ \(\Q(\sqrt{17}) \) None None \(0\) \(-1\) \(-2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}-q^{5}-q^{7}+(1+\beta )q^{9}-\beta q^{11}+\cdots\)
2240.2.a.bd 2240.a 1.a $2$ $17.886$ \(\Q(\sqrt{17}) \) None None \(0\) \(-1\) \(-2\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}-q^{5}+q^{7}+(1+\beta )q^{9}+\beta q^{11}+\cdots\)
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