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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 11
6336.2.a.a 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-4\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-4q^{5}-2q^{7}-q^{11}-4q^{13}-2q^{17}+\cdots\)
6336.2.a.b 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-4\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-4q^{5}-2q^{7}-q^{11}+2q^{13}-2q^{17}+\cdots\)
6336.2.a.c 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-4\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-4q^{5}-2q^{7}+q^{11}-4q^{13}+2q^{17}+\cdots\)
6336.2.a.d 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-4\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-4q^{5}+2q^{7}-q^{11}-4q^{13}+2q^{17}+\cdots\)
6336.2.a.e 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-4\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-4q^{5}+2q^{7}+q^{11}-4q^{13}-2q^{17}+\cdots\)
6336.2.a.f 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-4\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-4q^{5}+2q^{7}+q^{11}+2q^{13}-2q^{17}+\cdots\)
6336.2.a.g 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-3\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{5}-4q^{7}+q^{11}+2q^{13}+8q^{17}+\cdots\)
6336.2.a.h 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-3\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-3q^{5}-2q^{7}-q^{11}+6q^{17}-4q^{19}+\cdots\)
6336.2.a.i 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-3\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{5}-2q^{7}+q^{11}+4q^{13}-6q^{17}+\cdots\)
6336.2.a.j 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-3\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-3q^{5}+2q^{7}-q^{11}+4q^{13}-6q^{17}+\cdots\)
6336.2.a.k 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-3\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{5}+2q^{7}+q^{11}+6q^{17}+4q^{19}+\cdots\)
6336.2.a.l 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-3\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-3q^{5}+4q^{7}-q^{11}+2q^{13}+8q^{17}+\cdots\)
6336.2.a.m 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-2\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}-4q^{7}-q^{11}-4q^{13}-6q^{17}+\cdots\)
6336.2.a.n 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-2\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}-4q^{7}-q^{11}+2q^{13}+2q^{17}+\cdots\)
6336.2.a.o 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-2\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}-4q^{7}+q^{11}-6q^{13}-6q^{17}+\cdots\)
6336.2.a.p 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-2\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}-2q^{7}+q^{11}+2q^{13}+2q^{19}+\cdots\)
6336.2.a.q 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}-q^{11}-2q^{17}-6q^{19}+6q^{23}+\cdots\)
6336.2.a.r 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}-q^{11}+6q^{13}-2q^{17}+4q^{19}+\cdots\)
6336.2.a.s 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+q^{11}-2q^{17}+6q^{19}-6q^{23}+\cdots\)
6336.2.a.t 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+q^{11}+6q^{13}-2q^{17}-4q^{19}+\cdots\)
6336.2.a.u 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-2\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+2q^{7}-q^{11}+2q^{13}-2q^{19}+\cdots\)
6336.2.a.v 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-2\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+4q^{7}-q^{11}-6q^{13}-6q^{17}+\cdots\)
6336.2.a.w 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-2\) \(4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+4q^{7}+q^{11}-4q^{13}-6q^{17}+\cdots\)
6336.2.a.x 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(-2\) \(4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+4q^{7}+q^{11}+2q^{13}+2q^{17}+\cdots\)
6336.2.a.y 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{7}-q^{11}-4q^{13}+2q^{17}+2q^{23}+\cdots\)
6336.2.a.z 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{7}-q^{11}-2q^{13}-6q^{17}+2q^{19}+\cdots\)
6336.2.a.ba 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{7}-q^{11}+2q^{17}+8q^{19}-2q^{23}+\cdots\)
6336.2.a.bb 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{7}-q^{11}+2q^{13}+2q^{17}-6q^{19}+\cdots\)
6336.2.a.bc 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{7}-q^{11}+6q^{13}-6q^{17}+2q^{19}+\cdots\)
6336.2.a.bd 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{7}+q^{11}-2q^{13}+6q^{17}+2q^{19}+\cdots\)
6336.2.a.be 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{7}+q^{11}+2q^{13}-2q^{17}-6q^{19}+\cdots\)
6336.2.a.bf 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{7}+q^{11}+4q^{13}+6q^{17}-4q^{19}+\cdots\)
6336.2.a.bg 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{7}+q^{11}+6q^{13}+6q^{17}+2q^{19}+\cdots\)
6336.2.a.bh 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{7}-q^{11}-2q^{13}+6q^{17}-2q^{19}+\cdots\)
6336.2.a.bi 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{7}-q^{11}+2q^{13}-2q^{17}+6q^{19}+\cdots\)
6336.2.a.bj 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{7}-q^{11}+4q^{13}+6q^{17}+4q^{19}+\cdots\)
6336.2.a.bk 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{7}-q^{11}+6q^{13}+6q^{17}-2q^{19}+\cdots\)
6336.2.a.bl 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{7}+q^{11}-4q^{13}+2q^{17}-2q^{23}+\cdots\)
6336.2.a.bm 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{7}+q^{11}-2q^{13}-6q^{17}-2q^{19}+\cdots\)
6336.2.a.bn 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{7}+q^{11}+2q^{17}-8q^{19}+2q^{23}+\cdots\)
6336.2.a.bo 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{7}+q^{11}+2q^{13}+2q^{17}+6q^{19}+\cdots\)
6336.2.a.bp 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{7}+q^{11}+6q^{13}-6q^{17}-2q^{19}+\cdots\)
6336.2.a.bq 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(1\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{7}-q^{11}+2q^{13}-2q^{19}+\cdots\)
6336.2.a.br 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}+q^{11}-4q^{13}+2q^{17}+\cdots\)
6336.2.a.bs 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{11}+6q^{13}+4q^{17}-6q^{19}+\cdots\)
6336.2.a.bt 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{11}+6q^{13}+4q^{17}+6q^{19}+\cdots\)
6336.2.a.bu 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(1\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}-q^{11}-4q^{13}+2q^{17}+\cdots\)
6336.2.a.bv 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(1\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{7}+q^{11}+2q^{13}+2q^{19}+\cdots\)
6336.2.a.bw 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(2\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-4q^{7}-q^{11}+6q^{13}-2q^{17}+\cdots\)
6336.2.a.bx 6336.a 1.a $1$ $50.593$ \(\Q\) None \(0\) \(0\) \(2\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}-4q^{7}+q^{11}-4q^{13}+6q^{17}+\cdots\)
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