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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 11
7920.2.a.a 7920.a 1.a $1$ $63.242$ \(\Q\) None 3960.2.a.h \(0\) \(0\) \(-1\) \(-4\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{7}-q^{11}-4q^{13}+2q^{17}+\cdots\)
7920.2.a.b 7920.a 1.a $1$ $63.242$ \(\Q\) None 440.2.a.c \(0\) \(0\) \(-1\) \(-4\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{7}-q^{11}+6q^{13}+6q^{17}+\cdots\)
7920.2.a.c 7920.a 1.a $1$ $63.242$ \(\Q\) None 1320.2.a.h \(0\) \(0\) \(-1\) \(-4\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{7}+q^{11}+2q^{13}+2q^{17}+\cdots\)
7920.2.a.d 7920.a 1.a $1$ $63.242$ \(\Q\) None 110.2.a.b \(0\) \(0\) \(-1\) \(-3\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{7}+q^{11}-6q^{13}+7q^{17}+\cdots\)
7920.2.a.e 7920.a 1.a $1$ $63.242$ \(\Q\) None 440.2.a.d \(0\) \(0\) \(-1\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}-q^{11}-6q^{13}-3q^{17}+\cdots\)
7920.2.a.f 7920.a 1.a $1$ $63.242$ \(\Q\) None 1320.2.a.n \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{11}-2q^{13}-2q^{17}-4q^{19}+\cdots\)
7920.2.a.g 7920.a 1.a $1$ $63.242$ \(\Q\) None 330.2.a.e \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{11}-2q^{13}-2q^{17}+4q^{19}+\cdots\)
7920.2.a.h 7920.a 1.a $1$ $63.242$ \(\Q\) None 1320.2.a.f \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{11}-2q^{13}+6q^{17}+4q^{19}+\cdots\)
7920.2.a.i 7920.a 1.a $1$ $63.242$ \(\Q\) None 55.2.a.a \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{11}+2q^{13}-6q^{17}+4q^{19}+\cdots\)
7920.2.a.j 7920.a 1.a $1$ $63.242$ \(\Q\) None 1320.2.a.g \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{11}-6q^{13}+6q^{17}+q^{25}+\cdots\)
7920.2.a.k 7920.a 1.a $1$ $63.242$ \(\Q\) None 990.2.a.a \(0\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{11}-2q^{17}-2q^{19}+6q^{23}+\cdots\)
7920.2.a.l 7920.a 1.a $1$ $63.242$ \(\Q\) None 220.2.a.b \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{11}+4q^{17}+4q^{19}+6q^{23}+\cdots\)
7920.2.a.m 7920.a 1.a $1$ $63.242$ \(\Q\) None 330.2.a.d \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{11}+6q^{13}-2q^{17}+4q^{19}+\cdots\)
7920.2.a.n 7920.a 1.a $1$ $63.242$ \(\Q\) None 990.2.a.e \(0\) \(0\) \(-1\) \(4\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}-q^{11}-4q^{13}-6q^{17}+\cdots\)
7920.2.a.o 7920.a 1.a $1$ $63.242$ \(\Q\) None 220.2.a.a \(0\) \(0\) \(-1\) \(4\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}-q^{11}-4q^{13}+4q^{19}+\cdots\)
7920.2.a.p 7920.a 1.a $1$ $63.242$ \(\Q\) None 1320.2.a.e \(0\) \(0\) \(-1\) \(4\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}-q^{11}+2q^{13}-6q^{17}+\cdots\)
7920.2.a.q 7920.a 1.a $1$ $63.242$ \(\Q\) None 1320.2.a.m \(0\) \(0\) \(-1\) \(4\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}+q^{11}-6q^{13}+2q^{17}+\cdots\)
7920.2.a.r 7920.a 1.a $1$ $63.242$ \(\Q\) None 330.2.a.b \(0\) \(0\) \(-1\) \(4\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}+q^{11}-2q^{13}+2q^{17}+\cdots\)
7920.2.a.s 7920.a 1.a $1$ $63.242$ \(\Q\) None 110.2.a.a \(0\) \(0\) \(1\) \(-5\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-5q^{7}+q^{11}+2q^{13}-3q^{17}+\cdots\)
7920.2.a.t 7920.a 1.a $1$ $63.242$ \(\Q\) None 330.2.a.c \(0\) \(0\) \(1\) \(-4\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{7}-q^{11}+2q^{13}-2q^{17}+\cdots\)
7920.2.a.u 7920.a 1.a $1$ $63.242$ \(\Q\) None 1320.2.a.d \(0\) \(0\) \(1\) \(-4\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{7}-q^{11}+2q^{13}-2q^{17}+\cdots\)
7920.2.a.v 7920.a 1.a $1$ $63.242$ \(\Q\) None 3960.2.a.h \(0\) \(0\) \(1\) \(-4\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{7}+q^{11}-4q^{13}-2q^{17}+\cdots\)
7920.2.a.w 7920.a 1.a $1$ $63.242$ \(\Q\) None 1320.2.a.c \(0\) \(0\) \(1\) \(-2\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-q^{11}-4q^{13}+4q^{19}+\cdots\)
7920.2.a.x 7920.a 1.a $1$ $63.242$ \(\Q\) None 1320.2.a.l \(0\) \(0\) \(1\) \(-2\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}+q^{11}-4q^{17}+4q^{19}+\cdots\)
7920.2.a.y 7920.a 1.a $1$ $63.242$ \(\Q\) None 660.2.a.d \(0\) \(0\) \(1\) \(-2\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}+q^{11}+2q^{13}-2q^{19}+\cdots\)
7920.2.a.z 7920.a 1.a $1$ $63.242$ \(\Q\) None 990.2.a.a \(0\) \(0\) \(1\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{11}+2q^{17}-2q^{19}-6q^{23}+\cdots\)
7920.2.a.ba 7920.a 1.a $1$ $63.242$ \(\Q\) None 660.2.a.b \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{11}-4q^{13}+2q^{17}-2q^{19}+\cdots\)
7920.2.a.bb 7920.a 1.a $1$ $63.242$ \(\Q\) None 330.2.a.a \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{11}+2q^{13}+2q^{17}-8q^{19}+\cdots\)
7920.2.a.bc 7920.a 1.a $1$ $63.242$ \(\Q\) None 110.2.a.c \(0\) \(0\) \(1\) \(1\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-q^{11}+2q^{13}+3q^{17}+\cdots\)
7920.2.a.bd 7920.a 1.a $1$ $63.242$ \(\Q\) None 1320.2.a.i \(0\) \(0\) \(1\) \(2\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}-q^{11}-4q^{13}-4q^{17}+\cdots\)
7920.2.a.be 7920.a 1.a $1$ $63.242$ \(\Q\) None 1320.2.a.a \(0\) \(0\) \(1\) \(2\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}-q^{11}-4q^{13}+4q^{17}+\cdots\)
7920.2.a.bf 7920.a 1.a $1$ $63.242$ \(\Q\) None 1320.2.a.j \(0\) \(0\) \(1\) \(2\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}-q^{11}-4q^{17}-4q^{19}+\cdots\)
7920.2.a.bg 7920.a 1.a $1$ $63.242$ \(\Q\) None 440.2.a.a \(0\) \(0\) \(1\) \(2\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}-q^{11}+8q^{19}-8q^{23}+\cdots\)
7920.2.a.bh 7920.a 1.a $1$ $63.242$ \(\Q\) None 660.2.a.a \(0\) \(0\) \(1\) \(2\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}-q^{11}+2q^{13}-8q^{17}+\cdots\)
7920.2.a.bi 7920.a 1.a $1$ $63.242$ \(\Q\) None 440.2.a.b \(0\) \(0\) \(1\) \(2\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}+q^{11}-4q^{13}+4q^{17}+\cdots\)
7920.2.a.bj 7920.a 1.a $1$ $63.242$ \(\Q\) None 1320.2.a.k \(0\) \(0\) \(1\) \(2\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}+q^{11}+8q^{17}+8q^{19}+\cdots\)
7920.2.a.bk 7920.a 1.a $1$ $63.242$ \(\Q\) None 1320.2.a.b \(0\) \(0\) \(1\) \(2\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}+q^{11}+4q^{13}+4q^{19}+\cdots\)
7920.2.a.bl 7920.a 1.a $1$ $63.242$ \(\Q\) None 660.2.a.c \(0\) \(0\) \(1\) \(4\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{7}-q^{11}-4q^{13}+6q^{17}+\cdots\)
7920.2.a.bm 7920.a 1.a $1$ $63.242$ \(\Q\) None 990.2.a.e \(0\) \(0\) \(1\) \(4\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{7}+q^{11}-4q^{13}+6q^{17}+\cdots\)
7920.2.a.bn 7920.a 1.a $2$ $63.242$ \(\Q(\sqrt{13}) \) None 660.2.a.f \(0\) \(0\) \(-2\) \(-2\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+(-1-\beta )q^{7}-q^{11}+(3-\beta )q^{13}+\cdots\)
7920.2.a.bo 7920.a 1.a $2$ $63.242$ \(\Q(\sqrt{13}) \) None 660.2.a.e \(0\) \(0\) \(-2\) \(-2\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+(-1-\beta )q^{7}+q^{11}+(-1-\beta )q^{13}+\cdots\)
7920.2.a.bp 7920.a 1.a $2$ $63.242$ \(\Q(\sqrt{7}) \) None 1980.2.a.i \(0\) \(0\) \(-2\) \(-2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+(-1+\beta )q^{7}+q^{11}+(1-\beta )q^{13}+\cdots\)
7920.2.a.bq 7920.a 1.a $2$ $63.242$ \(\Q(\sqrt{33}) \) None 110.2.a.d \(0\) \(0\) \(-2\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-\beta q^{7}-q^{11}+2q^{13}+(2-\beta )q^{17}+\cdots\)
7920.2.a.br 7920.a 1.a $2$ $63.242$ \(\Q(\sqrt{2}) \) None 3960.2.a.y \(0\) \(0\) \(-2\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+\beta q^{7}-q^{11}+(-2-\beta )q^{13}+\cdots\)
7920.2.a.bs 7920.a 1.a $2$ $63.242$ \(\Q(\sqrt{2}) \) None 1320.2.a.p \(0\) \(0\) \(-2\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+\beta q^{7}-q^{11}+(2+\beta )q^{13}+(-2+\cdots)q^{17}+\cdots\)
7920.2.a.bt 7920.a 1.a $2$ $63.242$ \(\Q(\sqrt{2}) \) None 1320.2.a.q \(0\) \(0\) \(-2\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+\beta q^{7}+q^{11}+(2+\beta )q^{13}+(-2+\cdots)q^{17}+\cdots\)
7920.2.a.bu 7920.a 1.a $2$ $63.242$ \(\Q(\sqrt{17}) \) None 440.2.a.e \(0\) \(0\) \(-2\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+\beta q^{7}+q^{11}+2q^{13}+(-2+\cdots)q^{17}+\cdots\)
7920.2.a.bv 7920.a 1.a $2$ $63.242$ \(\Q(\sqrt{3}) \) None 1980.2.a.g \(0\) \(0\) \(-2\) \(2\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+(1+\beta )q^{7}-q^{11}+(-1+3\beta )q^{13}+\cdots\)
7920.2.a.bw 7920.a 1.a $2$ $63.242$ \(\Q(\sqrt{6}) \) None 3960.2.a.v \(0\) \(0\) \(-2\) \(4\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+(2+\beta )q^{7}-q^{11}-\beta q^{13}+3\beta q^{17}+\cdots\)
7920.2.a.bx 7920.a 1.a $2$ $63.242$ \(\Q(\sqrt{2}) \) None 3960.2.a.u \(0\) \(0\) \(-2\) \(4\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+(2+\beta )q^{7}+q^{11}-\beta q^{13}-3\beta q^{17}+\cdots\)
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