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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 5 29
6960.2.a.a 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.o \(0\) \(-1\) \(-1\) \(-3\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-3q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
6960.2.a.b 6960.a 1.a $1$ $55.576$ \(\Q\) None 435.2.a.c \(0\) \(-1\) \(-1\) \(-2\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-2q^{7}+q^{9}-3q^{11}+2q^{13}+\cdots\)
6960.2.a.c 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.n \(0\) \(-1\) \(-1\) \(-2\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-2q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
6960.2.a.d 6960.a 1.a $1$ $55.576$ \(\Q\) None 870.2.a.b \(0\) \(-1\) \(-1\) \(-2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-2q^{7}+q^{9}+6q^{11}-4q^{13}+\cdots\)
6960.2.a.e 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.m \(0\) \(-1\) \(-1\) \(-1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}+3q^{11}+3q^{13}+\cdots\)
6960.2.a.f 6960.a 1.a $1$ $55.576$ \(\Q\) None 1740.2.a.e \(0\) \(-1\) \(-1\) \(1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}+q^{9}+3q^{11}-q^{13}+\cdots\)
6960.2.a.g 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.l \(0\) \(-1\) \(-1\) \(2\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+2q^{7}+q^{9}-6q^{11}+6q^{13}+\cdots\)
6960.2.a.h 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.k \(0\) \(-1\) \(-1\) \(2\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+2q^{7}+q^{9}-3q^{11}-6q^{13}+\cdots\)
6960.2.a.i 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.i \(0\) \(-1\) \(-1\) \(2\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+2q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots\)
6960.2.a.j 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.j \(0\) \(-1\) \(-1\) \(2\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+2q^{7}+q^{9}+2q^{11}+4q^{13}+\cdots\)
6960.2.a.k 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.t \(0\) \(-1\) \(1\) \(-4\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-4q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
6960.2.a.l 6960.a 1.a $1$ $55.576$ \(\Q\) None 435.2.a.d \(0\) \(-1\) \(1\) \(-4\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-4q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots\)
6960.2.a.m 6960.a 1.a $1$ $55.576$ \(\Q\) None 1740.2.a.h \(0\) \(-1\) \(1\) \(-2\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
6960.2.a.n 6960.a 1.a $1$ $55.576$ \(\Q\) None 870.2.a.i \(0\) \(-1\) \(1\) \(-2\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2q^{7}+q^{9}+2q^{11}-4q^{13}+\cdots\)
6960.2.a.o 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.s \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-2q^{13}-q^{15}-2q^{17}+\cdots\)
6960.2.a.p 6960.a 1.a $1$ $55.576$ \(\Q\) None 870.2.a.d \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-2q^{13}-q^{15}+6q^{17}+\cdots\)
6960.2.a.q 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.r \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
6960.2.a.r 6960.a 1.a $1$ $55.576$ \(\Q\) None 870.2.a.h \(0\) \(-1\) \(1\) \(2\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+2q^{7}+q^{9}-2q^{11}+4q^{13}+\cdots\)
6960.2.a.s 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.q \(0\) \(-1\) \(1\) \(2\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+2q^{7}+q^{9}-q^{11}-2q^{13}+\cdots\)
6960.2.a.t 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.p \(0\) \(-1\) \(1\) \(3\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+3q^{7}+q^{9}-5q^{11}-5q^{13}+\cdots\)
6960.2.a.u 6960.a 1.a $1$ $55.576$ \(\Q\) None 1740.2.a.g \(0\) \(-1\) \(1\) \(3\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+3q^{7}+q^{9}+3q^{11}+q^{13}+\cdots\)
6960.2.a.v 6960.a 1.a $1$ $55.576$ \(\Q\) None 870.2.a.c \(0\) \(-1\) \(1\) \(4\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+4q^{7}+q^{9}-4q^{13}-q^{15}+\cdots\)
6960.2.a.w 6960.a 1.a $1$ $55.576$ \(\Q\) None 435.2.a.a \(0\) \(-1\) \(1\) \(4\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+4q^{7}+q^{9}+6q^{13}-q^{15}+\cdots\)
6960.2.a.x 6960.a 1.a $1$ $55.576$ \(\Q\) None 1740.2.a.f \(0\) \(-1\) \(1\) \(5\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+5q^{7}+q^{9}-5q^{11}-5q^{13}+\cdots\)
6960.2.a.y 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.c \(0\) \(1\) \(-1\) \(-2\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-2q^{7}+q^{9}-2q^{11}-q^{15}+\cdots\)
6960.2.a.z 6960.a 1.a $1$ $55.576$ \(\Q\) None 1740.2.a.a \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+6q^{11}+6q^{13}+\cdots\)
6960.2.a.ba 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.b \(0\) \(1\) \(-1\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}+q^{11}-3q^{13}+\cdots\)
6960.2.a.bb 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.a \(0\) \(1\) \(-1\) \(2\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+2q^{7}+q^{9}-6q^{11}+6q^{13}+\cdots\)
6960.2.a.bc 6960.a 1.a $1$ $55.576$ \(\Q\) None 435.2.a.b \(0\) \(1\) \(-1\) \(2\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+2q^{7}+q^{9}-q^{11}+6q^{13}+\cdots\)
6960.2.a.bd 6960.a 1.a $1$ $55.576$ \(\Q\) None 870.2.a.e \(0\) \(1\) \(-1\) \(2\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+2q^{7}+q^{9}+2q^{11}-q^{15}+\cdots\)
6960.2.a.be 6960.a 1.a $1$ $55.576$ \(\Q\) None 870.2.a.g \(0\) \(1\) \(1\) \(-4\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-4q^{7}+q^{9}-2q^{13}+q^{15}+\cdots\)
6960.2.a.bf 6960.a 1.a $1$ $55.576$ \(\Q\) None 1740.2.a.d \(0\) \(1\) \(1\) \(-3\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-3q^{7}+q^{9}-3q^{11}+3q^{13}+\cdots\)
6960.2.a.bg 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.h \(0\) \(1\) \(1\) \(-2\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{7}+q^{9}-6q^{11}+4q^{13}+\cdots\)
6960.2.a.bh 6960.a 1.a $1$ $55.576$ \(\Q\) None 1740.2.a.c \(0\) \(1\) \(1\) \(-2\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
6960.2.a.bi 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.g \(0\) \(1\) \(1\) \(-2\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{7}+q^{9}+5q^{11}+2q^{13}+\cdots\)
6960.2.a.bj 6960.a 1.a $1$ $55.576$ \(\Q\) None 870.2.a.a \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-6q^{13}+q^{15}-2q^{17}+\cdots\)
6960.2.a.bk 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.f \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-4q^{13}+q^{15}-2q^{17}+\cdots\)
6960.2.a.bl 6960.a 1.a $1$ $55.576$ \(\Q\) None 1740.2.a.b \(0\) \(1\) \(1\) \(2\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+2q^{7}+q^{9}-3q^{11}-2q^{13}+\cdots\)
6960.2.a.bm 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.e \(0\) \(1\) \(1\) \(3\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+3q^{7}+q^{9}-3q^{11}-q^{13}+\cdots\)
6960.2.a.bn 6960.a 1.a $1$ $55.576$ \(\Q\) None 3480.2.a.d \(0\) \(1\) \(1\) \(4\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+4q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
6960.2.a.bo 6960.a 1.a $1$ $55.576$ \(\Q\) None 870.2.a.f \(0\) \(1\) \(1\) \(4\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+4q^{7}+q^{9}+4q^{11}-4q^{13}+\cdots\)
6960.2.a.bp 6960.a 1.a $2$ $55.576$ \(\Q(\sqrt{5}) \) None 435.2.a.g \(0\) \(-2\) \(-2\) \(-4\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-2q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
6960.2.a.bq 6960.a 1.a $2$ $55.576$ \(\Q(\sqrt{5}) \) None 870.2.a.m \(0\) \(-2\) \(-2\) \(-2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+(-1-\beta )q^{7}+q^{9}+(-3+\cdots)q^{11}+\cdots\)
6960.2.a.br 6960.a 1.a $2$ $55.576$ \(\Q(\sqrt{17}) \) None 1740.2.a.m \(0\) \(-2\) \(-2\) \(-2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-2\beta q^{7}+q^{9}+(2-\beta )q^{11}+\cdots\)
6960.2.a.bs 6960.a 1.a $2$ $55.576$ \(\Q(\sqrt{33}) \) None 1740.2.a.l \(0\) \(-2\) \(-2\) \(-1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-\beta q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots\)
6960.2.a.bt 6960.a 1.a $2$ $55.576$ \(\Q(\sqrt{17}) \) None 3480.2.a.x \(0\) \(-2\) \(-2\) \(3\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+(1+\beta )q^{7}+q^{9}+(3-\beta )q^{11}+\cdots\)
6960.2.a.bu 6960.a 1.a $2$ $55.576$ \(\Q(\sqrt{5}) \) None 435.2.a.e \(0\) \(-2\) \(-2\) \(6\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+3q^{7}+q^{9}+(1+2\beta )q^{11}+\cdots\)
6960.2.a.bv 6960.a 1.a $2$ $55.576$ \(\Q(\sqrt{57}) \) None 1740.2.a.n \(0\) \(-2\) \(2\) \(-4\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2q^{7}+q^{9}+(2-\beta )q^{11}+\cdots\)
6960.2.a.bw 6960.a 1.a $2$ $55.576$ \(\Q(\sqrt{21}) \) None 435.2.a.f \(0\) \(-2\) \(2\) \(-2\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}+q^{9}-5q^{11}+\beta q^{13}+\cdots\)
6960.2.a.bx 6960.a 1.a $2$ $55.576$ \(\Q(\sqrt{17}) \) None 435.2.a.h \(0\) \(-2\) \(2\) \(-2\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2\beta q^{7}+q^{9}+(4-\beta )q^{11}+\cdots\)
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