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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 5 13
5850.2.a.a 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(-4\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-4q^{7}-q^{8}-4q^{11}+q^{13}+\cdots\)
5850.2.a.b 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(-4\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-4q^{7}-q^{8}-q^{11}-q^{13}+\cdots\)
5850.2.a.c 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(-4\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-4q^{7}-q^{8}+q^{13}+4q^{14}+\cdots\)
5850.2.a.d 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(-4\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-4q^{7}-q^{8}+4q^{11}-q^{13}+\cdots\)
5850.2.a.e 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(-4\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-4q^{7}-q^{8}+6q^{11}+q^{13}+\cdots\)
5850.2.a.f 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(-2\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{7}-q^{8}-2q^{11}+q^{13}+\cdots\)
5850.2.a.g 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(-2\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{7}-q^{8}-q^{13}+2q^{14}+\cdots\)
5850.2.a.h 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(-2\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{7}-q^{8}+4q^{11}+q^{13}+\cdots\)
5850.2.a.i 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(-2\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{7}-q^{8}+6q^{11}-q^{13}+\cdots\)
5850.2.a.j 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{7}-q^{8}+3q^{11}+q^{13}+\cdots\)
5850.2.a.k 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{7}-q^{8}+5q^{11}-q^{13}+\cdots\)
5850.2.a.l 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}-4q^{11}+q^{13}+q^{16}+\cdots\)
5850.2.a.m 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}+q^{13}+q^{16}-6q^{17}+\cdots\)
5850.2.a.n 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}+3q^{11}+q^{13}+q^{16}+\cdots\)
5850.2.a.o 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}+6q^{11}+q^{13}+q^{16}+\cdots\)
5850.2.a.p 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{7}-q^{8}-6q^{11}-q^{13}+\cdots\)
5850.2.a.q 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{7}-q^{8}-3q^{11}-q^{13}+\cdots\)
5850.2.a.r 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(2\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{7}-q^{8}-6q^{11}+q^{13}+\cdots\)
5850.2.a.s 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(2\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{7}-q^{8}-4q^{11}+q^{13}+\cdots\)
5850.2.a.t 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(2\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{7}-q^{8}-2q^{11}-q^{13}+\cdots\)
5850.2.a.u 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(2\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{7}-q^{8}+2q^{11}-q^{13}+\cdots\)
5850.2.a.v 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(2\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{7}-q^{8}+4q^{11}+q^{13}+\cdots\)
5850.2.a.w 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(3\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+3q^{7}-q^{8}+3q^{11}+q^{13}+\cdots\)
5850.2.a.x 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(4\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+4q^{7}-q^{8}-2q^{11}+q^{13}+\cdots\)
5850.2.a.y 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(4\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+4q^{7}-q^{8}-q^{13}-4q^{14}+\cdots\)
5850.2.a.z 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(4\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+4q^{7}-q^{8}-q^{13}-4q^{14}+\cdots\)
5850.2.a.ba 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(4\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+4q^{7}-q^{8}+6q^{11}-q^{13}+\cdots\)
5850.2.a.bb 5850.a 1.a $1$ $46.712$ \(\Q\) None \(-1\) \(0\) \(0\) \(5\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+5q^{7}-q^{8}+3q^{11}+q^{13}+\cdots\)
5850.2.a.bc 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(-5\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-5q^{7}+q^{8}+3q^{11}-q^{13}+\cdots\)
5850.2.a.bd 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(-4\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-4q^{7}+q^{8}-2q^{11}-q^{13}+\cdots\)
5850.2.a.be 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(-4\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-4q^{7}+q^{8}+q^{13}-4q^{14}+\cdots\)
5850.2.a.bf 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(-3\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-3q^{7}+q^{8}+3q^{11}-q^{13}+\cdots\)
5850.2.a.bg 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(-2\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{7}+q^{8}-6q^{11}-q^{13}+\cdots\)
5850.2.a.bh 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(-2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{7}+q^{8}-4q^{11}+q^{13}+\cdots\)
5850.2.a.bi 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(-2\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{7}+q^{8}-4q^{11}+q^{13}+\cdots\)
5850.2.a.bj 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(-2\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{7}+q^{8}-2q^{11}+q^{13}+\cdots\)
5850.2.a.bk 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(-2\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{7}+q^{8}-q^{13}-2q^{14}+\cdots\)
5850.2.a.bl 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(-2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{7}+q^{8}+2q^{11}+q^{13}+\cdots\)
5850.2.a.bm 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(-1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{7}+q^{8}-3q^{11}+q^{13}+\cdots\)
5850.2.a.bn 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(-1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{7}+q^{8}+2q^{11}+q^{13}+\cdots\)
5850.2.a.bo 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-4q^{11}-q^{13}+q^{16}+\cdots\)
5850.2.a.bp 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-4q^{11}-q^{13}+q^{16}+\cdots\)
5850.2.a.bq 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-q^{13}+q^{16}+2q^{17}+\cdots\)
5850.2.a.br 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}+3q^{11}-q^{13}+q^{16}+\cdots\)
5850.2.a.bs 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}+6q^{11}-q^{13}+q^{16}+\cdots\)
5850.2.a.bt 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}+3q^{11}-q^{13}+\cdots\)
5850.2.a.bu 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}+5q^{11}+q^{13}+\cdots\)
5850.2.a.bv 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+2q^{7}+q^{8}-4q^{11}+q^{13}+\cdots\)
5850.2.a.bw 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(2\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+2q^{7}+q^{8}-2q^{11}-q^{13}+\cdots\)
5850.2.a.bx 5850.a 1.a $1$ $46.712$ \(\Q\) None \(1\) \(0\) \(0\) \(2\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+2q^{7}+q^{8}+6q^{11}+q^{13}+\cdots\)
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