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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
8280.2.a.a 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(-1\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{7}+4q^{11}-3q^{17}-4q^{19}+\cdots\)
8280.2.a.b 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-2q^{13}-6q^{17}+q^{23}+\cdots\)
8280.2.a.c 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-2q^{13}+2q^{17}-4q^{19}+\cdots\)
8280.2.a.d 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}+q^{13}-q^{23}+q^{25}+\cdots\)
8280.2.a.e 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{11}-5q^{13}+4q^{17}-2q^{19}+\cdots\)
8280.2.a.f 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{11}-6q^{17}+8q^{19}+q^{23}+\cdots\)
8280.2.a.g 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{11}-2q^{13}-2q^{17}+4q^{19}+\cdots\)
8280.2.a.h 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{11}+4q^{13}+4q^{17}+4q^{19}+\cdots\)
8280.2.a.i 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}-4q^{13}+q^{17}-q^{23}+\cdots\)
8280.2.a.j 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}+6q^{11}-2q^{13}+3q^{17}+\cdots\)
8280.2.a.k 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-4q^{11}+2q^{13}+2q^{17}+\cdots\)
8280.2.a.l 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}+2q^{11}+2q^{13}+8q^{17}+\cdots\)
8280.2.a.m 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-2q^{13}-2q^{17}-4q^{19}+\cdots\)
8280.2.a.n 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-2q^{13}+6q^{17}-q^{23}+\cdots\)
8280.2.a.o 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}+q^{13}+4q^{17}-4q^{19}+\cdots\)
8280.2.a.p 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{11}+2q^{13}-2q^{17}+q^{23}+\cdots\)
8280.2.a.q 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{11}+4q^{13}-4q^{17}+4q^{19}+\cdots\)
8280.2.a.r 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{13}+6q^{17}+q^{23}+q^{25}+\cdots\)
8280.2.a.s 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}+4q^{11}+2q^{13}-2q^{17}+\cdots\)
8280.2.a.t 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(1\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+3q^{7}+2q^{11}+2q^{13}+q^{17}+\cdots\)
8280.2.a.u 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(1\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+3q^{7}+6q^{11}-2q^{13}-3q^{17}+\cdots\)
8280.2.a.v 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{7}-4q^{11}+6q^{13}+2q^{17}+\cdots\)
8280.2.a.w 8280.a 1.a $1$ $66.116$ \(\Q\) None \(0\) \(0\) \(1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{7}+6q^{11}-4q^{13}-2q^{17}+\cdots\)
8280.2.a.x 8280.a 1.a $2$ $66.116$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+(-1+2\beta )q^{7}+\beta q^{11}+(2-\beta )q^{13}+\cdots\)
8280.2.a.y 8280.a 1.a $2$ $66.116$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}+(2-3\beta )q^{11}+(-4-\beta )q^{13}+\cdots\)
8280.2.a.z 8280.a 1.a $2$ $66.116$ \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(-2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+\beta q^{7}-4q^{11}+(-2+2\beta )q^{13}+\cdots\)
8280.2.a.ba 8280.a 1.a $2$ $66.116$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(-2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+(1+\beta )q^{7}+\beta q^{11}+(-2-\beta )q^{13}+\cdots\)
8280.2.a.bb 8280.a 1.a $2$ $66.116$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(-2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2\beta q^{7}+4q^{11}+(2-\beta )q^{13}+\cdots\)
8280.2.a.bc 8280.a 1.a $2$ $66.116$ \(\Q(\sqrt{11}) \) None \(0\) \(0\) \(2\) \(-6\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}-3q^{7}+(1+\beta )q^{11}+(1-\beta )q^{13}+\cdots\)
8280.2.a.bd 8280.a 1.a $2$ $66.116$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(2\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+(-1-\beta )q^{7}-2q^{11}-2q^{13}+\cdots\)
8280.2.a.be 8280.a 1.a $2$ $66.116$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(2\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-\beta q^{7}+2\beta q^{11}+2q^{13}+(-2+\cdots)q^{17}+\cdots\)
8280.2.a.bf 8280.a 1.a $2$ $66.116$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(2\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-\beta q^{7}+2q^{11}+(-1-\beta )q^{13}+\cdots\)
8280.2.a.bg 8280.a 1.a $2$ $66.116$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(2\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+(1+\beta )q^{7}-\beta q^{11}+(-2-\beta )q^{13}+\cdots\)
8280.2.a.bh 8280.a 1.a $3$ $66.116$ 3.3.229.1 None \(0\) \(0\) \(-3\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-\beta _{1}q^{7}+(1-\beta _{2})q^{13}+(-2+\cdots)q^{17}+\cdots\)
8280.2.a.bi 8280.a 1.a $3$ $66.116$ 3.3.568.1 None \(0\) \(0\) \(-3\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+(1-2\beta _{1}-\beta _{2})q^{7}+(-2-\beta _{1}+\cdots)q^{11}+\cdots\)
8280.2.a.bj 8280.a 1.a $3$ $66.116$ 3.3.2597.1 None \(0\) \(0\) \(-3\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+(1-\beta _{1})q^{7}+(-2-\beta _{1})q^{11}+\cdots\)
8280.2.a.bk 8280.a 1.a $3$ $66.116$ 3.3.568.1 None \(0\) \(0\) \(-3\) \(4\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+(1+\beta _{1})q^{7}+(-2-\beta _{1}-\beta _{2})q^{11}+\cdots\)
8280.2.a.bl 8280.a 1.a $3$ $66.116$ 3.3.229.1 None \(0\) \(0\) \(-3\) \(7\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+(2-\beta _{2})q^{7}+(-1-\beta _{1})q^{11}+\cdots\)
8280.2.a.bm 8280.a 1.a $3$ $66.116$ 3.3.316.1 None \(0\) \(0\) \(3\) \(-6\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+(-2+\beta _{2})q^{7}+(-1+\beta _{1}+\beta _{2})q^{11}+\cdots\)
8280.2.a.bn 8280.a 1.a $3$ $66.116$ 3.3.1436.1 None \(0\) \(0\) \(3\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+(-1+\beta _{2})q^{7}+(-1-\beta _{1}-\beta _{2})q^{11}+\cdots\)
8280.2.a.bo 8280.a 1.a $3$ $66.116$ 3.3.621.1 None \(0\) \(0\) \(3\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+(1+\beta _{1})q^{7}+(-1+\beta _{1}-\beta _{2})q^{11}+\cdots\)
8280.2.a.bp 8280.a 1.a $3$ $66.116$ 3.3.568.1 None \(0\) \(0\) \(3\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+(1+\beta _{1})q^{7}+(2+\beta _{1}+\beta _{2})q^{11}+\cdots\)
8280.2.a.bq 8280.a 1.a $4$ $66.116$ 4.4.54764.1 None \(0\) \(0\) \(4\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-\beta _{1}q^{7}+\beta _{3}q^{11}+(-1+\beta _{1}+\cdots)q^{13}+\cdots\)
8280.2.a.br 8280.a 1.a $5$ $66.116$ 5.5.20087896.1 None \(0\) \(0\) \(-5\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+(-1+\beta _{1})q^{7}+(1-\beta _{2})q^{11}+\cdots\)
8280.2.a.bs 8280.a 1.a $5$ $66.116$ 5.5.13955077.1 None \(0\) \(0\) \(5\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+(-\beta _{3}-\beta _{4})q^{7}+(-\beta _{1}+\beta _{2}+\cdots)q^{11}+\cdots\)
8280.2.a.bt 8280.a 1.a $6$ $66.116$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(0\) \(0\) \(-6\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-\beta _{2}q^{7}+(1+\beta _{3})q^{11}+\beta _{4}q^{13}+\cdots\)
8280.2.a.bu 8280.a 1.a $6$ $66.116$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(0\) \(0\) \(6\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}-\beta _{2}q^{7}+(-1-\beta _{3})q^{11}+\beta _{4}q^{13}+\cdots\)
8280.2.a.bv 8280.a 1.a $7$ $66.116$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(0\) \(-7\) \(-6\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+(-1+\beta _{4})q^{7}+\beta _{3}q^{11}+(-2+\cdots)q^{13}+\cdots\)
8280.2.a.bw 8280.a 1.a $7$ $66.116$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(0\) \(7\) \(-6\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+(-1+\beta _{4})q^{7}-\beta _{3}q^{11}+(-2+\cdots)q^{13}+\cdots\)
8280.2.p.a 8280.p 69.c $48$ $66.116$ None \(0\) \(0\) \(-48\) \(0\) $\mathrm{SU}(2)[C_{2}]$
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