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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3150.2.a.a 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{7}-q^{8}-6q^{11}+q^{13}+\cdots\)
3150.2.a.b 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{7}-q^{8}-4q^{11}-3q^{13}+\cdots\)
3150.2.a.c 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{7}-q^{8}-2q^{11}+q^{13}+\cdots\)
3150.2.a.d 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{7}-q^{8}-2q^{11}+6q^{13}+\cdots\)
3150.2.a.e 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{7}-q^{8}-4q^{13}+q^{14}+\cdots\)
3150.2.a.f 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{7}-q^{8}-2q^{13}+q^{14}+\cdots\)
3150.2.a.g 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{7}-q^{8}-2q^{13}+q^{14}+\cdots\)
3150.2.a.h 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{7}-q^{8}+q^{13}+q^{14}+\cdots\)
3150.2.a.i 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{7}-q^{8}+4q^{13}+q^{14}+\cdots\)
3150.2.a.j 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{7}-q^{8}+5q^{11}-6q^{13}+\cdots\)
3150.2.a.k 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{7}-q^{8}+6q^{11}+2q^{13}+\cdots\)
3150.2.a.l 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{7}-q^{8}-6q^{11}-2q^{13}+\cdots\)
3150.2.a.m 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{7}-q^{8}-3q^{11}+2q^{13}+\cdots\)
3150.2.a.n 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{7}-q^{8}-2q^{11}-q^{13}+\cdots\)
3150.2.a.o 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{7}-q^{8}-q^{13}-q^{14}+\cdots\)
3150.2.a.p 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{7}-q^{8}+4q^{13}-q^{14}+\cdots\)
3150.2.a.q 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{7}-q^{8}+2q^{11}+2q^{13}+\cdots\)
3150.2.a.r 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{7}-q^{8}+2q^{11}+7q^{13}+\cdots\)
3150.2.a.s 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{7}-q^{8}+4q^{11}-6q^{13}+\cdots\)
3150.2.a.t 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{7}-q^{8}+4q^{11}+2q^{13}+\cdots\)
3150.2.a.u 3150.a 1.a $1$ $25.153$ \(\Q\) None \(-1\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{7}-q^{8}+4q^{11}+3q^{13}+\cdots\)
3150.2.a.v 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{7}+q^{8}-6q^{11}+2q^{13}+\cdots\)
3150.2.a.w 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{7}+q^{8}-4q^{11}+2q^{13}+\cdots\)
3150.2.a.x 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{7}+q^{8}-3q^{11}-2q^{13}+\cdots\)
3150.2.a.y 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{7}+q^{8}-2q^{11}+q^{13}+\cdots\)
3150.2.a.z 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{7}+q^{8}-4q^{13}-q^{14}+\cdots\)
3150.2.a.ba 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{7}+q^{8}-2q^{13}-q^{14}+\cdots\)
3150.2.a.bb 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{7}+q^{8}-2q^{13}-q^{14}+\cdots\)
3150.2.a.bc 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{7}+q^{8}+q^{13}-q^{14}+\cdots\)
3150.2.a.bd 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{7}+q^{8}+2q^{11}-7q^{13}+\cdots\)
3150.2.a.be 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{7}+q^{8}+2q^{11}-2q^{13}+\cdots\)
3150.2.a.bf 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{7}+q^{8}+4q^{11}-3q^{13}+\cdots\)
3150.2.a.bg 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}-6q^{11}-q^{13}+\cdots\)
3150.2.a.bh 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}-4q^{11}-6q^{13}+\cdots\)
3150.2.a.bi 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}-4q^{11}+3q^{13}+\cdots\)
3150.2.a.bj 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}-4q^{11}+6q^{13}+\cdots\)
3150.2.a.bk 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}-2q^{11}-6q^{13}+\cdots\)
3150.2.a.bl 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}-2q^{11}-q^{13}+\cdots\)
3150.2.a.bm 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}-q^{13}+q^{14}+\cdots\)
3150.2.a.bn 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}+4q^{13}+q^{14}+\cdots\)
3150.2.a.bo 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}+4q^{11}-6q^{13}+\cdots\)
3150.2.a.bp 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}+4q^{11}+2q^{13}+\cdots\)
3150.2.a.bq 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}+5q^{11}+6q^{13}+\cdots\)
3150.2.a.br 3150.a 1.a $1$ $25.153$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}+6q^{11}-2q^{13}+\cdots\)
3150.2.a.bs 3150.a 1.a $2$ $25.153$ \(\Q(\sqrt{6}) \) None \(-2\) \(0\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{7}-q^{8}+2\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
3150.2.a.bt 3150.a 1.a $2$ $25.153$ \(\Q(\sqrt{6}) \) None \(2\) \(0\) \(0\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{7}+q^{8}+2\beta q^{11}+(2+\cdots)q^{13}+\cdots\)
3150.2.b.a 3150.b 21.c $8$ $25.153$ 8.0.40960000.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}-q^{4}+(-\beta _{3}+\beta _{5})q^{7}-\beta _{1}q^{8}+\cdots\)
3150.2.b.b 3150.b 21.c $8$ $25.153$ 8.0.40960000.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}-q^{4}+(-\beta _{3}-\beta _{5})q^{7}-\beta _{1}q^{8}+\cdots\)
3150.2.b.c 3150.b 21.c $8$ $25.153$ 8.0.40960000.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}-q^{4}+(-\beta _{2}+\beta _{7})q^{7}-\beta _{1}q^{8}+\cdots\)
3150.2.b.d 3150.b 21.c $8$ $25.153$ 8.0.40960000.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{2}-q^{4}+(\beta _{3}+\beta _{5})q^{7}+\beta _{1}q^{8}+\cdots\)
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