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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 19
6080.2.a.a 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(-3\) \(-1\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-q^{5}-q^{7}+6q^{9}-4q^{11}+\cdots\)
6080.2.a.b 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(-3\) \(1\) \(5\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+q^{5}+5q^{7}+6q^{9}-4q^{11}+\cdots\)
6080.2.a.c 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(-2\) \(-1\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}-4q^{7}+q^{9}+4q^{11}+\cdots\)
6080.2.a.d 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(-2\) \(-1\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}+q^{9}-4q^{11}-4q^{13}+\cdots\)
6080.2.a.e 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(-2\) \(-1\) \(4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}+4q^{7}+q^{9}+4q^{11}+\cdots\)
6080.2.a.f 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(-2\) \(1\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}+2q^{7}+q^{9}-6q^{13}+\cdots\)
6080.2.a.g 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(-1\) \(-1\) \(-3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-3q^{7}-2q^{9}-5q^{13}+\cdots\)
6080.2.a.h 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(-1\) \(-1\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}-2q^{9}+q^{13}+q^{15}+\cdots\)
6080.2.a.i 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(-1\) \(1\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}-2q^{9}+3q^{13}-q^{15}+\cdots\)
6080.2.a.j 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{9}-4q^{11}+6q^{13}-6q^{17}+\cdots\)
6080.2.a.k 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{9}+4q^{11}+6q^{13}-6q^{17}+\cdots\)
6080.2.a.l 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-3q^{9}-4q^{11}+4q^{13}+\cdots\)
6080.2.a.m 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-3q^{9}+4q^{11}+4q^{13}+\cdots\)
6080.2.a.n 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(0\) \(1\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}-3q^{9}-4q^{11}+4q^{13}+\cdots\)
6080.2.a.o 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(0\) \(1\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}-3q^{9}+4q^{11}+4q^{13}+\cdots\)
6080.2.a.p 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(1\) \(-1\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}-2q^{9}+q^{13}-q^{15}+\cdots\)
6080.2.a.q 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(1\) \(-1\) \(3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+3q^{7}-2q^{9}-5q^{13}+\cdots\)
6080.2.a.r 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(1\) \(1\) \(-1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-q^{7}-2q^{9}+3q^{13}+q^{15}+\cdots\)
6080.2.a.s 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(2\) \(-1\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}-4q^{7}+q^{9}-4q^{11}+\cdots\)
6080.2.a.t 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(2\) \(-1\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}+q^{9}+4q^{11}-4q^{13}+\cdots\)
6080.2.a.u 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(2\) \(-1\) \(4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}+4q^{7}+q^{9}-4q^{11}+\cdots\)
6080.2.a.v 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(2\) \(1\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}-2q^{7}+q^{9}-6q^{13}+\cdots\)
6080.2.a.w 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(3\) \(-1\) \(1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}-q^{5}+q^{7}+6q^{9}+4q^{11}+\cdots\)
6080.2.a.x 6080.a 1.a $1$ $48.549$ \(\Q\) None \(0\) \(3\) \(1\) \(-5\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}+q^{5}-5q^{7}+6q^{9}+4q^{11}+\cdots\)
6080.2.a.y 6080.a 1.a $2$ $48.549$ \(\Q(\sqrt{2}) \) None \(0\) \(-4\) \(-2\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-2+\beta )q^{3}-q^{5}+(2+2\beta )q^{7}+(3+\cdots)q^{9}+\cdots\)
6080.2.a.z 6080.a 1.a $2$ $48.549$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-2\) \(4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}-q^{5}+2q^{7}+(1-2\beta )q^{9}+\cdots\)
6080.2.a.ba 6080.a 1.a $2$ $48.549$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+q^{5}+(1-2\beta )q^{9}-2q^{11}+\cdots\)
6080.2.a.bb 6080.a 1.a $2$ $48.549$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(-2\) \(1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}-q^{5}+\beta q^{7}+(1+\beta )q^{9}+4q^{11}+\cdots\)
6080.2.a.bc 6080.a 1.a $2$ $48.549$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(2\) \(-5\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+q^{5}+(-2-\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
6080.2.a.bd 6080.a 1.a $2$ $48.549$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-\beta q^{7}-3q^{9}-4q^{11}+(-2+\cdots)q^{13}+\cdots\)
6080.2.a.be 6080.a 1.a $2$ $48.549$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+\beta q^{7}-3q^{9}+4q^{11}+(-2+\cdots)q^{13}+\cdots\)
6080.2.a.bf 6080.a 1.a $2$ $48.549$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+q^{5}-2\beta q^{7}-q^{9}+(-2+2\beta )q^{11}+\cdots\)
6080.2.a.bg 6080.a 1.a $2$ $48.549$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+q^{5}-2\beta q^{7}-q^{9}+(2+2\beta )q^{11}+\cdots\)
6080.2.a.bh 6080.a 1.a $2$ $48.549$ \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(-2\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-q^{5}-\beta q^{7}+(1+\beta )q^{9}-4q^{11}+\cdots\)
6080.2.a.bi 6080.a 1.a $2$ $48.549$ \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(2\) \(5\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+q^{5}+(2+\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
6080.2.a.bj 6080.a 1.a $2$ $48.549$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(-2\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}-q^{5}-2q^{7}+(1+2\beta )q^{9}+\cdots\)
6080.2.a.bk 6080.a 1.a $2$ $48.549$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+q^{5}+(1+2\beta )q^{9}+2q^{11}+\cdots\)
6080.2.a.bl 6080.a 1.a $2$ $48.549$ \(\Q(\sqrt{2}) \) None \(0\) \(4\) \(-2\) \(-4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(2+\beta )q^{3}-q^{5}+(-2+2\beta )q^{7}+(3+\cdots)q^{9}+\cdots\)
6080.2.a.bm 6080.a 1.a $3$ $48.549$ 3.3.148.1 None \(0\) \(-4\) \(-3\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{1})q^{3}-q^{5}+(-1+\beta _{1}-\beta _{2})q^{7}+\cdots\)
6080.2.a.bn 6080.a 1.a $3$ $48.549$ 3.3.148.1 None \(0\) \(-4\) \(3\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{1})q^{3}+q^{5}+(1+\beta _{1}-\beta _{2})q^{7}+\cdots\)
6080.2.a.bo 6080.a 1.a $3$ $48.549$ 3.3.148.1 None \(0\) \(-2\) \(-3\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}-q^{5}+(\beta _{1}-\beta _{2})q^{7}+\cdots\)
6080.2.a.bp 6080.a 1.a $3$ $48.549$ 3.3.564.1 None \(0\) \(-2\) \(3\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+q^{5}+(-1+\beta _{2})q^{7}+\cdots\)
6080.2.a.bq 6080.a 1.a $3$ $48.549$ 3.3.229.1 None \(0\) \(-1\) \(-3\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{3}-q^{5}-\beta _{1}q^{7}+(1-\beta _{1})q^{9}+\cdots\)
6080.2.a.br 6080.a 1.a $3$ $48.549$ 3.3.316.1 None \(0\) \(-1\) \(3\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+q^{5}+(1-2\beta _{1}+\beta _{2})q^{7}+\cdots\)
6080.2.a.bs 6080.a 1.a $3$ $48.549$ 3.3.568.1 None \(0\) \(-1\) \(3\) \(5\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+q^{5}+(2+\beta _{2})q^{7}+(1+2\beta _{1}+\cdots)q^{9}+\cdots\)
6080.2.a.bt 6080.a 1.a $3$ $48.549$ 3.3.148.1 None \(0\) \(0\) \(-3\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{3}-q^{5}+(-1+\beta _{1}-\beta _{2})q^{7}+\cdots\)
6080.2.a.bu 6080.a 1.a $3$ $48.549$ 3.3.148.1 None \(0\) \(0\) \(-3\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{3}-q^{5}+(1-\beta _{1}+\beta _{2})q^{7}+(-\beta _{1}+\cdots)q^{9}+\cdots\)
6080.2.a.bv 6080.a 1.a $3$ $48.549$ 3.3.229.1 None \(0\) \(1\) \(-3\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{3}-q^{5}+\beta _{1}q^{7}+(1-\beta _{1})q^{9}+\cdots\)
6080.2.a.bw 6080.a 1.a $3$ $48.549$ 3.3.568.1 None \(0\) \(1\) \(3\) \(-5\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+q^{5}+(-2-\beta _{2})q^{7}+(1+2\beta _{1}+\cdots)q^{9}+\cdots\)
6080.2.a.bx 6080.a 1.a $3$ $48.549$ 3.3.316.1 None \(0\) \(1\) \(3\) \(-1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+q^{5}+(-1+2\beta _{1}-\beta _{2})q^{7}+\cdots\)
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