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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 13
14976.2.a.a 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(-3\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{5}-q^{7}-4q^{11}+q^{13}+7q^{17}+\cdots\)
14976.2.a.b 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(-3\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{5}+q^{7}+4q^{11}+q^{13}+7q^{17}+\cdots\)
14976.2.a.c 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(-2\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}-4q^{7}-q^{13}+2q^{17}-6q^{19}+\cdots\)
14976.2.a.d 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(-2\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}-4q^{7}+6q^{11}-q^{13}+2q^{17}+\cdots\)
14976.2.a.e 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(-2\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}-2q^{7}+q^{13}-2q^{17}+4q^{23}+\cdots\)
14976.2.a.f 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(-2\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+2q^{7}+q^{13}-2q^{17}-4q^{23}+\cdots\)
14976.2.a.g 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(-2\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+4q^{7}-6q^{11}-q^{13}+2q^{17}+\cdots\)
14976.2.a.h 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(-2\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+4q^{7}-q^{13}+2q^{17}+6q^{19}+\cdots\)
14976.2.a.i 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}-q^{13}+7q^{17}-6q^{19}+\cdots\)
14976.2.a.j 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}+4q^{11}-q^{13}-q^{17}+\cdots\)
14976.2.a.k 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(-1\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}-4q^{11}-q^{13}-q^{17}+\cdots\)
14976.2.a.l 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(-1\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}-q^{13}+7q^{17}+6q^{19}+\cdots\)
14976.2.a.m 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(0\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-4q^{7}-4q^{11}-q^{13}-4q^{17}-6q^{19}+\cdots\)
14976.2.a.n 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(0\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-4q^{7}-4q^{11}+q^{13}+4q^{17}+6q^{19}+\cdots\)
14976.2.a.o 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(0\) \(-4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-4q^{7}+4q^{11}-q^{13}+4q^{17}-6q^{19}+\cdots\)
14976.2.a.p 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(0\) \(-4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-4q^{7}+4q^{11}+q^{13}-4q^{17}+6q^{19}+\cdots\)
14976.2.a.q 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{7}-4q^{11}-q^{13}+2q^{17}-4q^{19}+\cdots\)
14976.2.a.r 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{7}+4q^{11}+q^{13}+2q^{17}+4q^{19}+\cdots\)
14976.2.a.s 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{7}-4q^{11}+q^{13}+2q^{17}-4q^{19}+\cdots\)
14976.2.a.t 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{7}+4q^{11}-q^{13}+2q^{17}+4q^{19}+\cdots\)
14976.2.a.u 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(0\) \(4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+4q^{7}-4q^{11}-q^{13}+4q^{17}+6q^{19}+\cdots\)
14976.2.a.v 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(0\) \(4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+4q^{7}-4q^{11}+q^{13}-4q^{17}-6q^{19}+\cdots\)
14976.2.a.w 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(0\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+4q^{7}+4q^{11}-q^{13}-4q^{17}+6q^{19}+\cdots\)
14976.2.a.x 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(0\) \(4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+4q^{7}+4q^{11}+q^{13}+4q^{17}-6q^{19}+\cdots\)
14976.2.a.y 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(1\) \(-1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}-4q^{11}+q^{13}-q^{17}+\cdots\)
14976.2.a.z 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(1\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}+q^{13}+7q^{17}+6q^{19}+\cdots\)
14976.2.a.ba 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}+q^{13}+7q^{17}-6q^{19}+\cdots\)
14976.2.a.bb 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}+4q^{11}+q^{13}-q^{17}+\cdots\)
14976.2.a.bc 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(2\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}-4q^{7}-6q^{11}+q^{13}+2q^{17}+\cdots\)
14976.2.a.bd 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(2\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}-4q^{7}+q^{13}+2q^{17}+6q^{19}+\cdots\)
14976.2.a.be 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(2\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-2q^{7}-q^{13}-2q^{17}+4q^{23}+\cdots\)
14976.2.a.bf 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(2\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}+2q^{7}-q^{13}-2q^{17}-4q^{23}+\cdots\)
14976.2.a.bg 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(2\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+4q^{7}+q^{13}+2q^{17}-6q^{19}+\cdots\)
14976.2.a.bh 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(2\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+4q^{7}+6q^{11}+q^{13}+2q^{17}+\cdots\)
14976.2.a.bi 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(3\) \(-1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{5}-q^{7}+4q^{11}-q^{13}+7q^{17}+\cdots\)
14976.2.a.bj 14976.a 1.a $1$ $119.584$ \(\Q\) None \(0\) \(0\) \(3\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{5}+q^{7}-4q^{11}-q^{13}+7q^{17}+\cdots\)
14976.2.a.bk 14976.a 1.a $2$ $119.584$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$
14976.2.a.bl 14976.a 1.a $2$ $119.584$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$
14976.2.a.bm 14976.a 1.a $2$ $119.584$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$
14976.2.a.bn 14976.a 1.a $2$ $119.584$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$
14976.2.a.bo 14976.a 1.a $2$ $119.584$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$
14976.2.a.bp 14976.a 1.a $2$ $119.584$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$
14976.2.a.bq 14976.a 1.a $2$ $119.584$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(2\) $+$ $+$ $+$ $\mathrm{SU}(2)$
14976.2.a.br 14976.a 1.a $2$ $119.584$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$
14976.2.a.bs 14976.a 1.a $2$ $119.584$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(2\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$
14976.2.a.bt 14976.a 1.a $2$ $119.584$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(2\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$
14976.2.a.bu 14976.a 1.a $2$ $119.584$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$
14976.2.a.bv 14976.a 1.a $2$ $119.584$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(2\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$
14976.2.a.bw 14976.a 1.a $2$ $119.584$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(2\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$
14976.2.a.bx 14976.a 1.a $2$ $119.584$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$
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