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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 3 19
6498.2.a.a 6498.a 1.a $1$ $51.887$ \(\Q\) None \(-1\) \(0\) \(-2\) \(-3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}-3q^{7}-q^{8}+2q^{10}+\cdots\)
6498.2.a.b 6498.a 1.a $1$ $51.887$ \(\Q\) None \(-1\) \(0\) \(-2\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}-4q^{11}+\cdots\)
6498.2.a.c 6498.a 1.a $1$ $51.887$ \(\Q\) None \(-1\) \(0\) \(-2\) \(3\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}+3q^{7}-q^{8}+2q^{10}+\cdots\)
6498.2.a.d 6498.a 1.a $1$ $51.887$ \(\Q\) None \(-1\) \(0\) \(-2\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}+4q^{7}-q^{8}+2q^{10}+\cdots\)
6498.2.a.e 6498.a 1.a $1$ $51.887$ \(\Q\) None \(-1\) \(0\) \(0\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-4q^{7}-q^{8}-3q^{11}-2q^{13}+\cdots\)
6498.2.a.f 6498.a 1.a $1$ $51.887$ \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{7}-q^{8}+6q^{11}-5q^{13}+\cdots\)
6498.2.a.g 6498.a 1.a $1$ $51.887$ \(\Q\) None \(-1\) \(0\) \(0\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{7}-q^{8}+2q^{11}+3q^{13}+\cdots\)
6498.2.a.h 6498.a 1.a $1$ $51.887$ \(\Q\) None \(-1\) \(0\) \(0\) \(4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+4q^{7}-q^{8}-4q^{11}-4q^{14}+\cdots\)
6498.2.a.i 6498.a 1.a $1$ $51.887$ \(\Q\) None \(-1\) \(0\) \(2\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}+2q^{11}+\cdots\)
6498.2.a.j 6498.a 1.a $1$ $51.887$ \(\Q\) None \(-1\) \(0\) \(2\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}+4q^{11}+\cdots\)
6498.2.a.k 6498.a 1.a $1$ $51.887$ \(\Q\) None \(-1\) \(0\) \(2\) \(3\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}+3q^{7}-q^{8}-2q^{10}+\cdots\)
6498.2.a.l 6498.a 1.a $1$ $51.887$ \(\Q\) None \(-1\) \(0\) \(4\) \(-3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+4q^{5}-3q^{7}-q^{8}-4q^{10}+\cdots\)
6498.2.a.m 6498.a 1.a $1$ $51.887$ \(\Q\) None \(1\) \(0\) \(-2\) \(-3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{5}-3q^{7}+q^{8}-2q^{10}+\cdots\)
6498.2.a.n 6498.a 1.a $1$ $51.887$ \(\Q\) None \(1\) \(0\) \(-2\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{5}+q^{8}-2q^{10}-4q^{11}+\cdots\)
6498.2.a.o 6498.a 1.a $1$ $51.887$ \(\Q\) None \(1\) \(0\) \(-2\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{5}+q^{8}-2q^{10}-2q^{11}+\cdots\)
6498.2.a.p 6498.a 1.a $1$ $51.887$ \(\Q\) None \(1\) \(0\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{5}+q^{8}-2q^{10}+4q^{11}+\cdots\)
6498.2.a.q 6498.a 1.a $1$ $51.887$ \(\Q\) None \(1\) \(0\) \(-2\) \(3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{5}+3q^{7}+q^{8}-2q^{10}+\cdots\)
6498.2.a.r 6498.a 1.a $1$ $51.887$ \(\Q\) None \(1\) \(0\) \(-2\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{5}+4q^{7}+q^{8}-2q^{10}+\cdots\)
6498.2.a.s 6498.a 1.a $1$ $51.887$ \(\Q\) None \(1\) \(0\) \(0\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-4q^{7}+q^{8}-3q^{11}+2q^{13}+\cdots\)
6498.2.a.t 6498.a 1.a $1$ $51.887$ \(\Q\) None \(1\) \(0\) \(0\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-4q^{7}+q^{8}+4q^{13}-4q^{14}+\cdots\)
6498.2.a.u 6498.a 1.a $1$ $51.887$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}+2q^{11}-3q^{13}+\cdots\)
6498.2.a.v 6498.a 1.a $1$ $51.887$ \(\Q\) None \(1\) \(0\) \(2\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+2q^{5}+q^{8}+2q^{10}+4q^{11}+\cdots\)
6498.2.a.w 6498.a 1.a $1$ $51.887$ \(\Q\) None \(1\) \(0\) \(2\) \(3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+2q^{5}+3q^{7}+q^{8}+2q^{10}+\cdots\)
6498.2.a.x 6498.a 1.a $1$ $51.887$ \(\Q\) None \(1\) \(0\) \(4\) \(-3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+4q^{5}-3q^{7}+q^{8}+4q^{10}+\cdots\)
6498.2.a.y 6498.a 1.a $1$ $51.887$ \(\Q\) None \(1\) \(0\) \(4\) \(3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+4q^{5}+3q^{7}+q^{8}+4q^{10}+\cdots\)
6498.2.a.z 6498.a 1.a $2$ $51.887$ \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(-5\) \(3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(-2-\beta )q^{5}+(2-\beta )q^{7}+\cdots\)
6498.2.a.ba 6498.a 1.a $2$ $51.887$ \(\Q(\sqrt{7}) \) None \(-2\) \(0\) \(-2\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(-1+\beta )q^{5}+(1+\beta )q^{7}+\cdots\)
6498.2.a.bb 6498.a 1.a $2$ $51.887$ \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(-1\) \(-5\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-\beta q^{5}+(-2-\beta )q^{7}-q^{8}+\cdots\)
6498.2.a.bc 6498.a 1.a $2$ $51.887$ \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(1\) \(-5\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+\beta q^{5}+(-2-\beta )q^{7}-q^{8}+\cdots\)
6498.2.a.bd 6498.a 1.a $2$ $51.887$ \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+\beta q^{5}-q^{8}-\beta q^{10}+4q^{11}+\cdots\)
6498.2.a.be 6498.a 1.a $2$ $51.887$ \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(5\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(3-\beta )q^{5}+(-2+2\beta )q^{7}+\cdots\)
6498.2.a.bf 6498.a 1.a $2$ $51.887$ \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(-5\) \(3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+(-2-\beta )q^{5}+(2-\beta )q^{7}+\cdots\)
6498.2.a.bg 6498.a 1.a $2$ $51.887$ \(\Q(\sqrt{7}) \) None \(2\) \(0\) \(-2\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+(-1+\beta )q^{5}+(1+\beta )q^{7}+\cdots\)
6498.2.a.bh 6498.a 1.a $2$ $51.887$ \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(-1\) \(-5\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-\beta q^{5}+(-2-\beta )q^{7}+q^{8}+\cdots\)
6498.2.a.bi 6498.a 1.a $2$ $51.887$ \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(1\) \(-5\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+\beta q^{5}+(-2-\beta )q^{7}+q^{8}+\cdots\)
6498.2.a.bj 6498.a 1.a $2$ $51.887$ \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+\beta q^{5}+q^{8}+\beta q^{10}+4q^{11}+\cdots\)
6498.2.a.bk 6498.a 1.a $2$ $51.887$ \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(5\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+(3-\beta )q^{5}+(-2+2\beta )q^{7}+\cdots\)
6498.2.a.bl 6498.a 1.a $3$ $51.887$ \(\Q(\zeta_{18})^+\) None \(-3\) \(0\) \(-6\) \(6\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}+(2-2\beta _{1})q^{7}-q^{8}+\cdots\)
6498.2.a.bm 6498.a 1.a $3$ $51.887$ \(\Q(\zeta_{18})^+\) None \(-3\) \(0\) \(0\) \(-9\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(-\beta _{1}-\beta _{2})q^{5}+(-3+\cdots)q^{7}+\cdots\)
6498.2.a.bn 6498.a 1.a $3$ $51.887$ \(\Q(\zeta_{18})^+\) None \(-3\) \(0\) \(0\) \(-3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(-2\beta _{1}+\beta _{2})q^{5}+(-1+\cdots)q^{7}+\cdots\)
6498.2.a.bo 6498.a 1.a $3$ $51.887$ \(\Q(\zeta_{18})^+\) None \(-3\) \(0\) \(6\) \(-3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(2+\beta _{1})q^{5}+(-1+2\beta _{1}+\cdots)q^{7}+\cdots\)
6498.2.a.bp 6498.a 1.a $3$ $51.887$ \(\Q(\zeta_{18})^+\) None \(-3\) \(0\) \(6\) \(3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(2-\beta _{1})q^{5}+(1-2\beta _{1}+\cdots)q^{7}+\cdots\)
6498.2.a.bq 6498.a 1.a $3$ $51.887$ \(\Q(\zeta_{18})^+\) None \(3\) \(0\) \(-6\) \(6\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{5}+(2-2\beta _{1})q^{7}+q^{8}+\cdots\)
6498.2.a.br 6498.a 1.a $3$ $51.887$ \(\Q(\zeta_{18})^+\) None \(3\) \(0\) \(0\) \(-9\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+(-\beta _{1}-\beta _{2})q^{5}+(-3+\cdots)q^{7}+\cdots\)
6498.2.a.bs 6498.a 1.a $3$ $51.887$ \(\Q(\zeta_{18})^+\) None \(3\) \(0\) \(0\) \(-3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+(-2\beta _{1}+\beta _{2})q^{5}+(-1+\cdots)q^{7}+\cdots\)
6498.2.a.bt 6498.a 1.a $3$ $51.887$ \(\Q(\zeta_{18})^+\) None \(3\) \(0\) \(6\) \(-3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+(2+\beta _{1})q^{5}+(-1+2\beta _{1}+\cdots)q^{7}+\cdots\)
6498.2.a.bu 6498.a 1.a $3$ $51.887$ \(\Q(\zeta_{18})^+\) None \(3\) \(0\) \(6\) \(3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+(2-\beta _{1})q^{5}+(1-2\beta _{1}+\cdots)q^{7}+\cdots\)
6498.2.a.bv 6498.a 1.a $4$ $51.887$ \(\Q(\zeta_{20})^+\) None \(-4\) \(0\) \(-8\) \(6\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(-2+\beta _{1})q^{5}+(2+\beta _{2}+\cdots)q^{7}+\cdots\)
6498.2.a.bw 6498.a 1.a $4$ $51.887$ 4.4.40025.1 None \(-4\) \(0\) \(-2\) \(3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-\beta _{1}q^{5}+(1+\beta _{2})q^{7}-q^{8}+\cdots\)
6498.2.a.bx 6498.a 1.a $4$ $51.887$ \(\Q(\zeta_{20})^+\) None \(-4\) \(0\) \(2\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(1-\beta _{1}+\beta _{2}+\beta _{3})q^{5}+\cdots\)
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