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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 7 11
9240.2.a.a 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(-1\) \(-1\) \(-1\) $-$ $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}+q^{11}-2q^{13}+\cdots\)
9240.2.a.b 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(-1\) \(-1\) \(1\) $-$ $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}+q^{9}-q^{11}-4q^{13}+\cdots\)
9240.2.a.c 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(-1\) \(-1\) \(1\) $+$ $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
9240.2.a.d 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(-1\) \(-1\) \(1\) $+$ $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
9240.2.a.e 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(-1\) \(-1\) \(1\) $-$ $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
9240.2.a.f 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(-1\) \(-1\) \(1\) $+$ $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}+q^{9}+q^{11}+2q^{13}+\cdots\)
9240.2.a.g 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(-1\) \(1\) \(-1\) $+$ $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}+q^{9}-q^{11}-4q^{13}+\cdots\)
9240.2.a.h 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(-1\) \(1\) \(-1\) $+$ $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}+q^{9}-q^{11}-4q^{13}+\cdots\)
9240.2.a.i 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(-1\) \(1\) \(-1\) $+$ $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
9240.2.a.j 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(-1\) \(1\) \(-1\) $-$ $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
9240.2.a.k 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(-1\) \(1\) \(-1\) $+$ $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}+q^{9}+q^{11}+2q^{13}+\cdots\)
9240.2.a.l 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(-1\) \(1\) \(-1\) $+$ $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}+q^{9}+q^{11}+6q^{13}+\cdots\)
9240.2.a.m 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(-1\) \(1\) \(-1\) $-$ $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}+q^{9}+q^{11}+6q^{13}+\cdots\)
9240.2.a.n 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(-1\) \(1\) \(1\) $-$ $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}-q^{11}-q^{15}+\cdots\)
9240.2.a.o 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(-1\) \(1\) \(1\) $-$ $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}-q^{11}+6q^{13}+\cdots\)
9240.2.a.p 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(-1\) \(1\) \(1\) $+$ $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
9240.2.a.q 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(-1\) \(1\) \(1\) $-$ $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}+q^{11}-2q^{13}+\cdots\)
9240.2.a.r 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(-1\) \(1\) \(1\) $-$ $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}+q^{11}-2q^{13}+\cdots\)
9240.2.a.s 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(-1\) \(1\) \(1\) $+$ $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}+q^{11}+2q^{13}+\cdots\)
9240.2.a.t 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(1\) \(-1\) \(-1\) $+$ $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}+q^{9}-q^{11}-4q^{13}+\cdots\)
9240.2.a.u 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(1\) \(-1\) \(-1\) $-$ $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
9240.2.a.v 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(1\) \(-1\) \(-1\) $-$ $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
9240.2.a.w 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(1\) \(-1\) \(-1\) $-$ $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
9240.2.a.x 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(1\) \(-1\) \(-1\) $+$ $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
9240.2.a.y 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(1\) \(-1\) \(-1\) $+$ $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}+q^{9}-q^{11}+6q^{13}+\cdots\)
9240.2.a.z 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(1\) \(-1\) \(-1\) $-$ $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}+q^{9}+q^{11}-q^{15}+\cdots\)
9240.2.a.ba 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(1\) \(-1\) \(1\) $-$ $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}-q^{11}-6q^{13}+\cdots\)
9240.2.a.bb 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(1\) \(-1\) \(1\) $-$ $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
9240.2.a.bc 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(1\) \(-1\) \(1\) $-$ $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}+q^{11}-2q^{13}+\cdots\)
9240.2.a.bd 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(1\) \(-1\) \(1\) $-$ $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}+q^{11}+6q^{13}+\cdots\)
9240.2.a.be 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(1\) \(1\) \(-1\) $+$ $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-q^{7}+q^{9}-q^{11}-6q^{13}+\cdots\)
9240.2.a.bf 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(1\) \(1\) \(-1\) $-$ $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-q^{7}+q^{9}+q^{11}-2q^{13}+\cdots\)
9240.2.a.bg 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(1\) \(1\) \(-1\) $-$ $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-q^{7}+q^{9}+q^{11}+4q^{13}+\cdots\)
9240.2.a.bh 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(1\) \(1\) \(1\) $+$ $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{7}+q^{9}-q^{11}-6q^{13}+\cdots\)
9240.2.a.bi 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(1\) \(1\) \(1\) $-$ $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{7}+q^{9}-q^{11}-2q^{13}+\cdots\)
9240.2.a.bj 9240.a 1.a $1$ $73.782$ \(\Q\) None \(0\) \(1\) \(1\) \(1\) $+$ $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
9240.2.a.bk 9240.a 1.a $2$ $73.782$ \(\Q(\sqrt{33}) \) None \(0\) \(-2\) \(-2\) \(-2\) $-$ $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}+q^{11}-2q^{13}+\cdots\)
9240.2.a.bl 9240.a 1.a $2$ $73.782$ \(\Q(\sqrt{17}) \) None \(0\) \(-2\) \(-2\) \(-2\) $+$ $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}+q^{11}+2q^{13}+\cdots\)
9240.2.a.bm 9240.a 1.a $2$ $73.782$ \(\Q(\sqrt{33}) \) None \(0\) \(-2\) \(-2\) \(2\) $+$ $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}+q^{9}-q^{11}+2\beta q^{13}+\cdots\)
9240.2.a.bn 9240.a 1.a $2$ $73.782$ \(\Q(\sqrt{17}) \) None \(0\) \(-2\) \(2\) \(-2\) $-$ $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}+q^{9}-q^{11}-2\beta q^{13}+\cdots\)
9240.2.a.bo 9240.a 1.a $2$ $73.782$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(-2\) $+$ $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}+q^{9}+q^{11}+(-3+\cdots)q^{13}+\cdots\)
9240.2.a.bp 9240.a 1.a $2$ $73.782$ \(\Q(\sqrt{73}) \) None \(0\) \(-2\) \(2\) \(2\) $+$ $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}+q^{11}+2q^{13}+\cdots\)
9240.2.a.bq 9240.a 1.a $2$ $73.782$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(-2\) \(2\) $+$ $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}+q^{11}-\beta q^{13}+\cdots\)
9240.2.a.br 9240.a 1.a $2$ $73.782$ \(\Q(\sqrt{41}) \) None \(0\) \(2\) \(-2\) \(2\) $+$ $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}+q^{11}-q^{15}+\cdots\)
9240.2.a.bs 9240.a 1.a $2$ $73.782$ \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(2\) \(-2\) $+$ $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-q^{7}+q^{9}+q^{11}-2\beta q^{13}+\cdots\)
9240.2.a.bt 9240.a 1.a $2$ $73.782$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(-2\) $+$ $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-q^{7}+q^{9}+q^{11}+(2+\beta )q^{13}+\cdots\)
9240.2.a.bu 9240.a 1.a $2$ $73.782$ \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(2\) \(2\) $-$ $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{7}+q^{9}-q^{11}-2q^{13}+\cdots\)
9240.2.a.bv 9240.a 1.a $2$ $73.782$ \(\Q(\sqrt{57}) \) None \(0\) \(2\) \(2\) \(2\) $+$ $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
9240.2.a.bw 9240.a 1.a $2$ $73.782$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(2\) $+$ $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{7}+q^{9}+q^{11}+(-2+\cdots)q^{13}+\cdots\)
9240.2.a.bx 9240.a 1.a $3$ $73.782$ 3.3.2300.1 None \(0\) \(-3\) \(-3\) \(3\) $+$ $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}+q^{9}+q^{11}+(-1+\cdots)q^{13}+\cdots\)
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