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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 7
6720.2.a.a 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.i \(0\) \(-1\) \(-1\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots\)
6720.2.a.b 6720.a 1.a $1$ $53.659$ \(\Q\) None 840.2.a.j \(0\) \(-1\) \(-1\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
6720.2.a.c 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.h \(0\) \(-1\) \(-1\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots\)
6720.2.a.d 6720.a 1.a $1$ $53.659$ \(\Q\) None 420.2.a.b \(0\) \(-1\) \(-1\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}-2q^{11}-4q^{13}+\cdots\)
6720.2.a.e 6720.a 1.a $1$ $53.659$ \(\Q\) None 420.2.a.d \(0\) \(-1\) \(-1\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}-2q^{11}-4q^{13}+\cdots\)
6720.2.a.f 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.j \(0\) \(-1\) \(-1\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}-2q^{11}+4q^{13}+\cdots\)
6720.2.a.g 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.k \(0\) \(-1\) \(-1\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}-2q^{13}+q^{15}+\cdots\)
6720.2.a.h 6720.a 1.a $1$ $53.659$ \(\Q\) None 840.2.a.f \(0\) \(-1\) \(-1\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
6720.2.a.i 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.l \(0\) \(-1\) \(-1\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
6720.2.a.j 6720.a 1.a $1$ $53.659$ \(\Q\) None 210.2.a.e \(0\) \(-1\) \(-1\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
6720.2.a.k 6720.a 1.a $1$ $53.659$ \(\Q\) None 210.2.a.c \(0\) \(-1\) \(-1\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
6720.2.a.l 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.m \(0\) \(-1\) \(-1\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}+6q^{11}-4q^{13}+\cdots\)
6720.2.a.m 6720.a 1.a $1$ $53.659$ \(\Q\) None 840.2.a.d \(0\) \(-1\) \(-1\) \(1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
6720.2.a.n 6720.a 1.a $1$ $53.659$ \(\Q\) None 210.2.a.b \(0\) \(-1\) \(-1\) \(1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}+q^{9}-2q^{13}+q^{15}+\cdots\)
6720.2.a.o 6720.a 1.a $1$ $53.659$ \(\Q\) None 840.2.a.e \(0\) \(-1\) \(-1\) \(1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}+q^{9}-2q^{13}+q^{15}+\cdots\)
6720.2.a.p 6720.a 1.a $1$ $53.659$ \(\Q\) None 105.2.a.a \(0\) \(-1\) \(-1\) \(1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}+q^{9}+6q^{13}+q^{15}+\cdots\)
6720.2.a.q 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.g \(0\) \(-1\) \(-1\) \(1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
6720.2.a.r 6720.a 1.a $1$ $53.659$ \(\Q\) None 840.2.a.b \(0\) \(-1\) \(1\) \(-1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
6720.2.a.s 6720.a 1.a $1$ $53.659$ \(\Q\) None 840.2.a.h \(0\) \(-1\) \(1\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}+q^{9}-6q^{13}-q^{15}+\cdots\)
6720.2.a.t 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.e \(0\) \(-1\) \(1\) \(-1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}+q^{9}-2q^{13}-q^{15}+\cdots\)
6720.2.a.u 6720.a 1.a $1$ $53.659$ \(\Q\) None 840.2.a.c \(0\) \(-1\) \(1\) \(-1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}+q^{9}+2q^{13}-q^{15}+\cdots\)
6720.2.a.v 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.f \(0\) \(-1\) \(1\) \(-1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
6720.2.a.w 6720.a 1.a $1$ $53.659$ \(\Q\) None 840.2.a.g \(0\) \(-1\) \(1\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots\)
6720.2.a.x 6720.a 1.a $1$ $53.659$ \(\Q\) None 420.2.a.c \(0\) \(-1\) \(1\) \(1\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}-6q^{11}+4q^{13}+\cdots\)
6720.2.a.y 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.a \(0\) \(-1\) \(1\) \(1\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots\)
6720.2.a.z 6720.a 1.a $1$ $53.659$ \(\Q\) None 210.2.a.a \(0\) \(-1\) \(1\) \(1\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
6720.2.a.ba 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.b \(0\) \(-1\) \(1\) \(1\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}-2q^{11}-q^{15}+\cdots\)
6720.2.a.bb 6720.a 1.a $1$ $53.659$ \(\Q\) None 210.2.a.d \(0\) \(-1\) \(1\) \(1\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}-2q^{13}-q^{15}+\cdots\)
6720.2.a.bc 6720.a 1.a $1$ $53.659$ \(\Q\) None 840.2.a.i \(0\) \(-1\) \(1\) \(1\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}-2q^{13}-q^{15}+\cdots\)
6720.2.a.bd 6720.a 1.a $1$ $53.659$ \(\Q\) None 420.2.a.a \(0\) \(-1\) \(1\) \(1\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}+2q^{11}-4q^{13}+\cdots\)
6720.2.a.be 6720.a 1.a $1$ $53.659$ \(\Q\) None 840.2.a.a \(0\) \(-1\) \(1\) \(1\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
6720.2.a.bf 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.d \(0\) \(-1\) \(1\) \(1\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
6720.2.a.bg 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.c \(0\) \(-1\) \(1\) \(1\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots\)
6720.2.a.bh 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.g \(0\) \(1\) \(-1\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
6720.2.a.bi 6720.a 1.a $1$ $53.659$ \(\Q\) None 210.2.a.b \(0\) \(1\) \(-1\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}+q^{9}-2q^{13}-q^{15}+\cdots\)
6720.2.a.bj 6720.a 1.a $1$ $53.659$ \(\Q\) None 840.2.a.e \(0\) \(1\) \(-1\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}+q^{9}-2q^{13}-q^{15}+\cdots\)
6720.2.a.bk 6720.a 1.a $1$ $53.659$ \(\Q\) None 105.2.a.a \(0\) \(1\) \(-1\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}+q^{9}+6q^{13}-q^{15}+\cdots\)
6720.2.a.bl 6720.a 1.a $1$ $53.659$ \(\Q\) None 840.2.a.d \(0\) \(1\) \(-1\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
6720.2.a.bm 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.m \(0\) \(1\) \(-1\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}-6q^{11}-4q^{13}+\cdots\)
6720.2.a.bn 6720.a 1.a $1$ $53.659$ \(\Q\) None 840.2.a.f \(0\) \(1\) \(-1\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
6720.2.a.bo 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.l \(0\) \(1\) \(-1\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
6720.2.a.bp 6720.a 1.a $1$ $53.659$ \(\Q\) None 210.2.a.c \(0\) \(1\) \(-1\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
6720.2.a.bq 6720.a 1.a $1$ $53.659$ \(\Q\) None 210.2.a.e \(0\) \(1\) \(-1\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
6720.2.a.br 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.k \(0\) \(1\) \(-1\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}-2q^{13}-q^{15}+\cdots\)
6720.2.a.bs 6720.a 1.a $1$ $53.659$ \(\Q\) None 420.2.a.d \(0\) \(1\) \(-1\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}+2q^{11}-4q^{13}+\cdots\)
6720.2.a.bt 6720.a 1.a $1$ $53.659$ \(\Q\) None 420.2.a.b \(0\) \(1\) \(-1\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}+2q^{11}-4q^{13}+\cdots\)
6720.2.a.bu 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.j \(0\) \(1\) \(-1\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}+2q^{11}+4q^{13}+\cdots\)
6720.2.a.bv 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.i \(0\) \(1\) \(-1\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots\)
6720.2.a.bw 6720.a 1.a $1$ $53.659$ \(\Q\) None 840.2.a.j \(0\) \(1\) \(-1\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
6720.2.a.bx 6720.a 1.a $1$ $53.659$ \(\Q\) None 3360.2.a.h \(0\) \(1\) \(-1\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots\)
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