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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 5
8640.2.a.a 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(-4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{7}+2q^{11}-4q^{13}-q^{17}+\cdots\)
8640.2.a.b 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{7}+6q^{11}+4q^{13}+3q^{17}+\cdots\)
8640.2.a.c 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(-3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{7}-2q^{11}+5q^{13}+8q^{17}+\cdots\)
8640.2.a.d 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(-3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{7}+2q^{11}-5q^{13}+2q^{17}+\cdots\)
8640.2.a.e 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-3q^{11}-5q^{13}+3q^{17}+\cdots\)
8640.2.a.f 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-3q^{11}+q^{13}-3q^{17}+\cdots\)
8640.2.a.g 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-2q^{13}-3q^{17}+5q^{19}+\cdots\)
8640.2.a.h 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}+6q^{13}-7q^{17}-7q^{19}+\cdots\)
8640.2.a.i 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}+q^{11}-q^{13}-q^{17}+\cdots\)
8640.2.a.j 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}+3q^{11}+5q^{13}-3q^{17}+\cdots\)
8640.2.a.k 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}+4q^{11}+2q^{13}+5q^{17}+\cdots\)
8640.2.a.l 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}-6q^{11}+q^{13}+q^{19}+\cdots\)
8640.2.a.m 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}-2q^{11}+3q^{13}-2q^{17}+\cdots\)
8640.2.a.n 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}+2q^{11}+5q^{13}-4q^{17}+\cdots\)
8640.2.a.o 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{11}+3q^{17}+q^{19}+3q^{23}+\cdots\)
8640.2.a.p 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{11}+3q^{17}-q^{19}-3q^{23}+\cdots\)
8640.2.a.q 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}-2q^{11}+5q^{13}-4q^{17}+\cdots\)
8640.2.a.r 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}+2q^{11}+3q^{13}-2q^{17}+\cdots\)
8640.2.a.s 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}+6q^{11}+q^{13}-q^{19}+\cdots\)
8640.2.a.t 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-4q^{11}+2q^{13}+5q^{17}+\cdots\)
8640.2.a.u 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-3q^{11}+5q^{13}-3q^{17}+\cdots\)
8640.2.a.v 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-q^{11}-q^{13}-q^{17}+\cdots\)
8640.2.a.w 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-2q^{13}-3q^{17}-5q^{19}+\cdots\)
8640.2.a.x 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}+6q^{13}-7q^{17}+7q^{19}+\cdots\)
8640.2.a.y 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}+3q^{11}-5q^{13}+3q^{17}+\cdots\)
8640.2.a.z 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}+3q^{11}+q^{13}-3q^{17}+\cdots\)
8640.2.a.ba 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+3q^{7}-2q^{11}-5q^{13}+2q^{17}+\cdots\)
8640.2.a.bb 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+3q^{7}+2q^{11}+5q^{13}+8q^{17}+\cdots\)
8640.2.a.bc 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}-6q^{11}+4q^{13}+3q^{17}+\cdots\)
8640.2.a.bd 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}-2q^{11}-4q^{13}-q^{17}+\cdots\)
8640.2.a.be 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(-4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{7}-6q^{11}+4q^{13}-3q^{17}+\cdots\)
8640.2.a.bf 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{7}-2q^{11}-4q^{13}+q^{17}+\cdots\)
8640.2.a.bg 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(-3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-3q^{7}-2q^{11}-5q^{13}-2q^{17}+\cdots\)
8640.2.a.bh 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(-3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-3q^{7}+2q^{11}+5q^{13}-8q^{17}+\cdots\)
8640.2.a.bi 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-4q^{11}+2q^{13}-5q^{17}+\cdots\)
8640.2.a.bj 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-3q^{11}+5q^{13}+3q^{17}+\cdots\)
8640.2.a.bk 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-q^{11}-q^{13}+q^{17}+\cdots\)
8640.2.a.bl 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-2q^{13}+3q^{17}+5q^{19}+\cdots\)
8640.2.a.bm 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}+6q^{13}+7q^{17}-7q^{19}+\cdots\)
8640.2.a.bn 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}+3q^{11}-5q^{13}-3q^{17}+\cdots\)
8640.2.a.bo 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}+3q^{11}+q^{13}+3q^{17}+\cdots\)
8640.2.a.bp 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}-2q^{11}+5q^{13}+4q^{17}+\cdots\)
8640.2.a.bq 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}+2q^{11}+3q^{13}+2q^{17}+\cdots\)
8640.2.a.br 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}+6q^{11}+q^{13}+q^{19}+\cdots\)
8640.2.a.bs 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{11}-3q^{17}-q^{19}+3q^{23}+\cdots\)
8640.2.a.bt 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{11}-3q^{17}+q^{19}-3q^{23}+\cdots\)
8640.2.a.bu 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-6q^{11}+q^{13}-q^{19}+\cdots\)
8640.2.a.bv 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-2q^{11}+3q^{13}+2q^{17}+\cdots\)
8640.2.a.bw 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}+2q^{11}+5q^{13}+4q^{17}+\cdots\)
8640.2.a.bx 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}-3q^{11}-5q^{13}-3q^{17}+\cdots\)
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