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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 5 7 11
8470.2.a.a 8470.a 1.a $1$ $67.633$ \(\Q\) None \(-1\) \(-3\) \(1\) \(-1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-3q^{3}+q^{4}+q^{5}+3q^{6}-q^{7}+\cdots\)
8470.2.a.b 8470.a 1.a $1$ $67.633$ \(\Q\) None \(-1\) \(-2\) \(-1\) \(-1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}-q^{5}+2q^{6}-q^{7}+\cdots\)
8470.2.a.c 8470.a 1.a $1$ $67.633$ \(\Q\) None \(-1\) \(-2\) \(-1\) \(-1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}-q^{5}+2q^{6}-q^{7}+\cdots\)
8470.2.a.d 8470.a 1.a $1$ $67.633$ \(\Q\) None \(-1\) \(-2\) \(-1\) \(1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}-q^{5}+2q^{6}+q^{7}+\cdots\)
8470.2.a.e 8470.a 1.a $1$ $67.633$ \(\Q\) None \(-1\) \(-2\) \(1\) \(-1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}+q^{5}+2q^{6}-q^{7}+\cdots\)
8470.2.a.f 8470.a 1.a $1$ $67.633$ \(\Q\) None \(-1\) \(-2\) \(1\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}+q^{5}+2q^{6}+q^{7}+\cdots\)
8470.2.a.g 8470.a 1.a $1$ $67.633$ \(\Q\) None \(-1\) \(-1\) \(-1\) \(1\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
8470.2.a.h 8470.a 1.a $1$ $67.633$ \(\Q\) None \(-1\) \(0\) \(-1\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}-3q^{9}+\cdots\)
8470.2.a.i 8470.a 1.a $1$ $67.633$ \(\Q\) None \(-1\) \(0\) \(-1\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}-3q^{9}+\cdots\)
8470.2.a.j 8470.a 1.a $1$ $67.633$ \(\Q\) None \(-1\) \(0\) \(-1\) \(1\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}-3q^{9}+\cdots\)
8470.2.a.k 8470.a 1.a $1$ $67.633$ \(\Q\) None \(-1\) \(1\) \(-1\) \(-1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
8470.2.a.l 8470.a 1.a $1$ $67.633$ \(\Q\) None \(-1\) \(1\) \(-1\) \(-1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
8470.2.a.m 8470.a 1.a $1$ $67.633$ \(\Q\) None \(-1\) \(1\) \(-1\) \(1\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
8470.2.a.n 8470.a 1.a $1$ $67.633$ \(\Q\) None \(-1\) \(1\) \(1\) \(-1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
8470.2.a.o 8470.a 1.a $1$ $67.633$ \(\Q\) None \(-1\) \(1\) \(1\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
8470.2.a.p 8470.a 1.a $1$ $67.633$ \(\Q\) None \(-1\) \(3\) \(1\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+3q^{3}+q^{4}+q^{5}-3q^{6}+q^{7}+\cdots\)
8470.2.a.q 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(-3\) \(1\) \(1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-3q^{3}+q^{4}+q^{5}-3q^{6}+q^{7}+\cdots\)
8470.2.a.r 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(-2\) \(-1\) \(-1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-2q^{3}+q^{4}-q^{5}-2q^{6}-q^{7}+\cdots\)
8470.2.a.s 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(-2\) \(-1\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-2q^{3}+q^{4}-q^{5}-2q^{6}-q^{7}+\cdots\)
8470.2.a.t 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(-2\) \(-1\) \(1\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-2q^{3}+q^{4}-q^{5}-2q^{6}+q^{7}+\cdots\)
8470.2.a.u 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(-2\) \(1\) \(-1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-2q^{3}+q^{4}+q^{5}-2q^{6}-q^{7}+\cdots\)
8470.2.a.v 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(-2\) \(1\) \(1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-2q^{3}+q^{4}+q^{5}-2q^{6}+q^{7}+\cdots\)
8470.2.a.w 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(-1\) \(-1\) \(-1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
8470.2.a.x 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(0\) \(-1\) \(1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-3q^{9}+\cdots\)
8470.2.a.y 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(0\) \(-1\) \(1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-3q^{9}+\cdots\)
8470.2.a.z 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(0\) \(1\) \(-1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}-3q^{9}+\cdots\)
8470.2.a.ba 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(0\) \(1\) \(1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}-3q^{9}+\cdots\)
8470.2.a.bb 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(1\) \(-1\) \(-1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
8470.2.a.bc 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(1\) \(-1\) \(1\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
8470.2.a.bd 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(1\) \(-1\) \(1\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
8470.2.a.be 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(1\) \(1\) \(-1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots\)
8470.2.a.bf 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(1\) \(1\) \(1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
8470.2.a.bg 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(2\) \(-1\) \(-1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+2q^{3}+q^{4}-q^{5}+2q^{6}-q^{7}+\cdots\)
8470.2.a.bh 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(3\) \(1\) \(-1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+3q^{3}+q^{4}+q^{5}+3q^{6}-q^{7}+\cdots\)
8470.2.a.bi 8470.a 1.a $2$ $67.633$ \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(2\) \(-2\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots\)
8470.2.a.bj 8470.a 1.a $2$ $67.633$ \(\Q(\sqrt{5}) \) None \(-2\) \(-2\) \(2\) \(2\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1-\beta )q^{3}+q^{4}+q^{5}+(1+\cdots)q^{6}+\cdots\)
8470.2.a.bk 8470.a 1.a $2$ $67.633$ \(\Q(\sqrt{5}) \) None \(-2\) \(-1\) \(-2\) \(2\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+q^{7}+\cdots\)
8470.2.a.bl 8470.a 1.a $2$ $67.633$ \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(-2\) \(-2\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}-q^{7}+\cdots\)
8470.2.a.bm 8470.a 1.a $2$ $67.633$ \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(-2\) \(-2\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}-q^{7}+\cdots\)
8470.2.a.bn 8470.a 1.a $2$ $67.633$ \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(-2\) \(2\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+q^{7}+\cdots\)
8470.2.a.bo 8470.a 1.a $2$ $67.633$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(-2\) \(2\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+q^{7}+\cdots\)
8470.2.a.bp 8470.a 1.a $2$ $67.633$ \(\Q(\sqrt{5}) \) None \(-2\) \(1\) \(-2\) \(2\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+q^{7}+\cdots\)
8470.2.a.bq 8470.a 1.a $2$ $67.633$ \(\Q(\sqrt{5}) \) None \(-2\) \(1\) \(2\) \(-2\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}+q^{5}-\beta q^{6}-q^{7}+\cdots\)
8470.2.a.br 8470.a 1.a $2$ $67.633$ \(\Q(\sqrt{3}) \) None \(-2\) \(2\) \(-2\) \(-2\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(1+\beta )q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots\)
8470.2.a.bs 8470.a 1.a $2$ $67.633$ \(\Q(\sqrt{3}) \) None \(-2\) \(2\) \(-2\) \(2\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(1+\beta )q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots\)
8470.2.a.bt 8470.a 1.a $2$ $67.633$ \(\Q(\sqrt{5}) \) None \(-2\) \(3\) \(-2\) \(-2\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(1+\beta )q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots\)
8470.2.a.bu 8470.a 1.a $2$ $67.633$ \(\Q(\sqrt{33}) \) None \(-2\) \(4\) \(2\) \(-2\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+2q^{3}+q^{4}+q^{5}-2q^{6}-q^{7}+\cdots\)
8470.2.a.bv 8470.a 1.a $2$ $67.633$ \(\Q(\sqrt{5}) \) None \(2\) \(-2\) \(2\) \(-2\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1-\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
8470.2.a.bw 8470.a 1.a $2$ $67.633$ \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(2\) \(2\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
8470.2.a.bx 8470.a 1.a $2$ $67.633$ \(\Q(\sqrt{5}) \) None \(2\) \(-1\) \(-2\) \(-2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta q^{3}+q^{4}-q^{5}-\beta q^{6}-q^{7}+\cdots\)
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