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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 23
7360.2.a.a 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(-3\) \(-1\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}-q^{5}+2q^{7}+6q^{9}-q^{13}+\cdots\)
7360.2.a.b 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(-3\) \(1\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+q^{5}+2q^{7}+6q^{9}+3q^{13}+\cdots\)
7360.2.a.c 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(-2\) \(-1\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}-q^{7}+q^{9}+2q^{11}+4q^{13}+\cdots\)
7360.2.a.d 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(-2\) \(1\) \(-3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}-3q^{7}+q^{9}+6q^{11}+\cdots\)
7360.2.a.e 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(-2\) \(1\) \(-1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}-q^{7}+q^{9}+2q^{11}-2q^{15}+\cdots\)
7360.2.a.f 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(-2\) \(1\) \(5\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}+5q^{7}+q^{9}-2q^{11}+\cdots\)
7360.2.a.g 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-2q^{9}+2q^{11}+5q^{13}+\cdots\)
7360.2.a.h 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(-1\) \(-1\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+2q^{7}-2q^{9}-4q^{11}+\cdots\)
7360.2.a.i 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(-1\) \(1\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-4q^{7}-2q^{9}+6q^{11}+\cdots\)
7360.2.a.j 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(-1\) \(1\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2q^{7}-2q^{9}-q^{13}-q^{15}+\cdots\)
7360.2.a.k 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}-3q^{9}-6q^{11}+2q^{13}+\cdots\)
7360.2.a.l 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(0\) \(-1\) \(1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}-3q^{9}+6q^{11}+2q^{13}+\cdots\)
7360.2.a.m 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(0\) \(1\) \(-1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}-3q^{9}-6q^{11}-6q^{13}+\cdots\)
7360.2.a.n 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(0\) \(1\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}-3q^{9}+2q^{11}+2q^{13}+\cdots\)
7360.2.a.o 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-3q^{9}-4q^{11}+2q^{13}+2q^{17}+\cdots\)
7360.2.a.p 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-3q^{9}+4q^{11}+2q^{13}+2q^{17}+\cdots\)
7360.2.a.q 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-3q^{9}-2q^{11}+2q^{13}+\cdots\)
7360.2.a.r 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-3q^{9}+6q^{11}-6q^{13}+\cdots\)
7360.2.a.s 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(1\) \(-1\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-2q^{7}-2q^{9}+4q^{11}+\cdots\)
7360.2.a.t 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-2q^{9}-2q^{11}+5q^{13}+\cdots\)
7360.2.a.u 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(1\) \(1\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+2q^{7}-2q^{9}-q^{13}+q^{15}+\cdots\)
7360.2.a.v 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(1\) \(1\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+4q^{7}-2q^{9}-6q^{11}+\cdots\)
7360.2.a.w 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(2\) \(-1\) \(1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}+q^{7}+q^{9}-2q^{11}+4q^{13}+\cdots\)
7360.2.a.x 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(2\) \(1\) \(-5\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}-5q^{7}+q^{9}+2q^{11}+\cdots\)
7360.2.a.y 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(2\) \(1\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}+q^{7}+q^{9}-2q^{11}+2q^{15}+\cdots\)
7360.2.a.z 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(2\) \(1\) \(3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}+3q^{7}+q^{9}-6q^{11}+\cdots\)
7360.2.a.ba 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(3\) \(-1\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}-q^{5}-2q^{7}+6q^{9}-q^{13}+\cdots\)
7360.2.a.bb 7360.a 1.a $1$ $58.770$ \(\Q\) None \(0\) \(3\) \(1\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+q^{5}-2q^{7}+6q^{9}+3q^{13}+\cdots\)
7360.2.a.bc 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{13}) \) None \(0\) \(-3\) \(-2\) \(3\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{3}-q^{5}+(2-\beta )q^{7}+(1+\cdots)q^{9}+\cdots\)
7360.2.a.bd 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{13}) \) None \(0\) \(-3\) \(2\) \(-3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{3}+q^{5}+(-2+\beta )q^{7}+\cdots\)
7360.2.a.be 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{7}) \) None \(0\) \(-2\) \(-2\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+(-1-\beta )q^{7}-2q^{9}+(-1+\cdots)q^{11}+\cdots\)
7360.2.a.bf 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(2\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+(1+\beta )q^{7}-2q^{9}+(-1+\cdots)q^{11}+\cdots\)
7360.2.a.bg 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+(1-\beta )q^{7}-2q^{9}+(1-\beta )q^{11}+\cdots\)
7360.2.a.bh 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{5}) \) None \(0\) \(-1\) \(-2\) \(1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}-q^{5}+(1-\beta )q^{7}+(-2+\beta )q^{9}+\cdots\)
7360.2.a.bi 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(-2\) \(1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}-q^{5}+(1-\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
7360.2.a.bj 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(-2\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}-q^{5}+2\beta q^{7}+(1+\beta )q^{9}+4q^{11}+\cdots\)
7360.2.a.bk 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{21}) \) None \(0\) \(-1\) \(2\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+q^{5}+(-1+\beta )q^{7}+(2+\beta )q^{9}+\cdots\)
7360.2.a.bl 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+q^{5}+(1-\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
7360.2.a.bm 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(-2\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-q^{5}-2\beta q^{7}+(1+\beta )q^{9}-4q^{11}+\cdots\)
7360.2.a.bn 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{5}) \) None \(0\) \(1\) \(-2\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-q^{5}+(-1+\beta )q^{7}+(-2+\beta )q^{9}+\cdots\)
7360.2.a.bo 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(-2\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-q^{5}+(-1+\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
7360.2.a.bp 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(2\) \(-1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+q^{5}+(-1+\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
7360.2.a.bq 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{21}) \) None \(0\) \(1\) \(2\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+q^{5}+(1-\beta )q^{7}+(2+\beta )q^{9}+\cdots\)
7360.2.a.br 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{7}) \) None \(0\) \(2\) \(-2\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+(1+\beta )q^{7}-2q^{9}+(1+\beta )q^{11}+\cdots\)
7360.2.a.bs 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(2\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+(-1+\beta )q^{7}-2q^{9}+(-1+\cdots)q^{11}+\cdots\)
7360.2.a.bt 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(2\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+(-1-\beta )q^{7}-2q^{9}+(1+\cdots)q^{11}+\cdots\)
7360.2.a.bu 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{13}) \) None \(0\) \(3\) \(-2\) \(-3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}-q^{5}+(-2+\beta )q^{7}+(1+\cdots)q^{9}+\cdots\)
7360.2.a.bv 7360.a 1.a $2$ $58.770$ \(\Q(\sqrt{13}) \) None \(0\) \(3\) \(2\) \(3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+q^{5}+(2-\beta )q^{7}+(1+3\beta )q^{9}+\cdots\)
7360.2.a.bw 7360.a 1.a $3$ $58.770$ 3.3.229.1 None \(0\) \(-2\) \(-3\) \(7\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{3}-q^{5}+(2-\beta _{2})q^{7}+\cdots\)
7360.2.a.bx 7360.a 1.a $3$ $58.770$ 3.3.1573.1 None \(0\) \(-1\) \(-3\) \(-4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-q^{5}+(-1-\beta _{1})q^{7}+(2+\beta _{1}+\cdots)q^{9}+\cdots\)
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