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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2450.2.a.a 2450.a 1.a $1$ $19.563$ \(\Q\) None \(-1\) \(-3\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-3q^{3}+q^{4}+3q^{6}-q^{8}+6q^{9}+\cdots\)
2450.2.a.b 2450.a 1.a $1$ $19.563$ \(\Q\) None \(-1\) \(-3\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-3q^{3}+q^{4}+3q^{6}-q^{8}+6q^{9}+\cdots\)
2450.2.a.c 2450.a 1.a $1$ $19.563$ \(\Q\) None \(-1\) \(-3\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-3q^{3}+q^{4}+3q^{6}-q^{8}+6q^{9}+\cdots\)
2450.2.a.d 2450.a 1.a $1$ $19.563$ \(\Q\) None \(-1\) \(-2\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{8}+q^{9}+\cdots\)
2450.2.a.e 2450.a 1.a $1$ $19.563$ \(\Q\) None \(-1\) \(-2\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{8}+q^{9}+\cdots\)
2450.2.a.f 2450.a 1.a $1$ $19.563$ \(\Q\) None \(-1\) \(-2\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{8}+q^{9}+\cdots\)
2450.2.a.g 2450.a 1.a $1$ $19.563$ \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}-2q^{9}+\cdots\)
2450.2.a.h 2450.a 1.a $1$ $19.563$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}-3q^{9}-2q^{11}+q^{16}+\cdots\)
2450.2.a.i 2450.a 1.a $1$ $19.563$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}-3q^{9}-2q^{11}+q^{16}+\cdots\)
2450.2.a.j 2450.a 1.a $1$ $19.563$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}-3q^{9}+3q^{11}-5q^{13}+\cdots\)
2450.2.a.k 2450.a 1.a $1$ $19.563$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}-3q^{9}+3q^{11}+5q^{13}+\cdots\)
2450.2.a.l 2450.a 1.a $1$ $19.563$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}-3q^{9}+4q^{11}-6q^{13}+\cdots\)
2450.2.a.m 2450.a 1.a $1$ $19.563$ \(\Q\) None \(-1\) \(1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}-2q^{9}+\cdots\)
2450.2.a.n 2450.a 1.a $1$ $19.563$ \(\Q\) None \(-1\) \(2\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{8}+q^{9}+\cdots\)
2450.2.a.o 2450.a 1.a $1$ $19.563$ \(\Q\) None \(-1\) \(2\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{8}+q^{9}+\cdots\)
2450.2.a.p 2450.a 1.a $1$ $19.563$ \(\Q\) None \(-1\) \(2\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{8}+q^{9}+\cdots\)
2450.2.a.q 2450.a 1.a $1$ $19.563$ \(\Q\) None \(-1\) \(3\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+3q^{3}+q^{4}-3q^{6}-q^{8}+6q^{9}+\cdots\)
2450.2.a.r 2450.a 1.a $1$ $19.563$ \(\Q\) None \(-1\) \(3\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+3q^{3}+q^{4}-3q^{6}-q^{8}+6q^{9}+\cdots\)
2450.2.a.s 2450.a 1.a $1$ $19.563$ \(\Q\) None \(1\) \(-3\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-3q^{3}+q^{4}-3q^{6}+q^{8}+6q^{9}+\cdots\)
2450.2.a.t 2450.a 1.a $1$ $19.563$ \(\Q\) None \(1\) \(-2\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-2q^{3}+q^{4}-2q^{6}+q^{8}+q^{9}+\cdots\)
2450.2.a.u 2450.a 1.a $1$ $19.563$ \(\Q\) None \(1\) \(-2\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-2q^{3}+q^{4}-2q^{6}+q^{8}+q^{9}+\cdots\)
2450.2.a.v 2450.a 1.a $1$ $19.563$ \(\Q\) None \(1\) \(-2\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-2q^{3}+q^{4}-2q^{6}+q^{8}+q^{9}+\cdots\)
2450.2.a.w 2450.a 1.a $1$ $19.563$ \(\Q\) None \(1\) \(-1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}-2q^{9}+\cdots\)
2450.2.a.x 2450.a 1.a $1$ $19.563$ \(\Q\) None \(1\) \(-1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}-2q^{9}+\cdots\)
2450.2.a.y 2450.a 1.a $1$ $19.563$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-3q^{9}-2q^{11}+q^{16}+\cdots\)
2450.2.a.z 2450.a 1.a $1$ $19.563$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-3q^{9}-2q^{11}+q^{16}+\cdots\)
2450.2.a.ba 2450.a 1.a $1$ $19.563$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-3q^{9}+3q^{11}-5q^{13}+\cdots\)
2450.2.a.bb 2450.a 1.a $1$ $19.563$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-3q^{9}+3q^{11}+5q^{13}+\cdots\)
2450.2.a.bc 2450.a 1.a $1$ $19.563$ \(\Q\) None \(1\) \(1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}-2q^{9}+\cdots\)
2450.2.a.bd 2450.a 1.a $1$ $19.563$ \(\Q\) None \(1\) \(1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}-2q^{9}+\cdots\)
2450.2.a.be 2450.a 1.a $1$ $19.563$ \(\Q\) None \(1\) \(2\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{8}+q^{9}+\cdots\)
2450.2.a.bf 2450.a 1.a $1$ $19.563$ \(\Q\) None \(1\) \(2\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{8}+q^{9}+\cdots\)
2450.2.a.bg 2450.a 1.a $1$ $19.563$ \(\Q\) None \(1\) \(3\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+3q^{3}+q^{4}+3q^{6}+q^{8}+6q^{9}+\cdots\)
2450.2.a.bh 2450.a 1.a $1$ $19.563$ \(\Q\) None \(1\) \(3\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+3q^{3}+q^{4}+3q^{6}+q^{8}+6q^{9}+\cdots\)
2450.2.a.bi 2450.a 1.a $2$ $19.563$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}-3q^{9}-4q^{11}+3\beta q^{13}+\cdots\)
2450.2.a.bj 2450.a 1.a $2$ $19.563$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}-q^{8}-q^{9}+\cdots\)
2450.2.a.bk 2450.a 1.a $2$ $19.563$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}-q^{8}-q^{9}+\cdots\)
2450.2.a.bl 2450.a 1.a $2$ $19.563$ \(\Q(\sqrt{6}) \) None \(-2\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}-q^{8}+3q^{9}+\cdots\)
2450.2.a.bm 2450.a 1.a $2$ $19.563$ \(\Q(\sqrt{7}) \) None \(-2\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}-q^{8}+4q^{9}+\cdots\)
2450.2.a.bn 2450.a 1.a $2$ $19.563$ \(\Q(\sqrt{2}) \) None \(2\) \(-4\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(-2+\beta )q^{3}+q^{4}+(-2+\beta )q^{6}+\cdots\)
2450.2.a.bo 2450.a 1.a $2$ $19.563$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-3q^{9}-4q^{11}+3\beta q^{13}+\cdots\)
2450.2.a.bp 2450.a 1.a $2$ $19.563$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+q^{8}-q^{9}+\cdots\)
2450.2.a.bq 2450.a 1.a $2$ $19.563$ \(\Q(\sqrt{6}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+q^{8}+3q^{9}+\cdots\)
2450.2.a.br 2450.a 1.a $2$ $19.563$ \(\Q(\sqrt{7}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+q^{8}+4q^{9}+\cdots\)
2450.2.a.bs 2450.a 1.a $2$ $19.563$ \(\Q(\sqrt{2}) \) None \(2\) \(4\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(2+\beta )q^{3}+q^{4}+(2+\beta )q^{6}+\cdots\)
2450.2.a.bt 2450.a 1.a $4$ $19.563$ \(\Q(\sqrt{2}, \sqrt{11})\) None \(-4\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}-q^{8}+\cdots\)
2450.2.a.bu 2450.a 1.a $4$ $19.563$ \(\Q(\sqrt{2}, \sqrt{11})\) None \(4\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+q^{8}+\cdots\)
2450.2.c.a 2450.c 5.b $2$ $19.563$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+3iq^{3}-q^{4}-3q^{6}-iq^{8}+\cdots\)
2450.2.c.b 2450.c 5.b $2$ $19.563$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+2iq^{3}-q^{4}-2q^{6}-iq^{8}+\cdots\)
2450.2.c.c 2450.c 5.b $2$ $19.563$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+2iq^{3}-q^{4}-2q^{6}-iq^{8}+\cdots\)
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