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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2880.1.c.a 2880.c 15.d $4$ $1.437$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{5}+\zeta_{8}^{2}q^{13}+(\zeta_{8}-\zeta_{8}^{3})q^{17}+\cdots\)
2880.1.i.a 2880.i 120.i $4$ $1.437$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{5}+(-\zeta_{8}-\zeta_{8}^{3})q^{7}+(\zeta_{8}-\zeta_{8}^{3}+\cdots)q^{11}+\cdots\)
2880.1.i.b 2880.i 120.i $4$ $1.437$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{5}+(-\zeta_{8}-\zeta_{8}^{3})q^{7}+(-\zeta_{8}+\cdots)q^{11}+\cdots\)
2880.1.j.a 2880.j 20.d $1$ $1.437$ \(\Q\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-5}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(-1\) \(0\) \(q-q^{5}+q^{25}+2q^{29}+2q^{41}-q^{49}+\cdots\)
2880.1.j.b 2880.j 20.d $2$ $1.437$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-15}) \) \(\Q(\sqrt{15}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{5}-iq^{17}-q^{25}-q^{49}-iq^{53}+\cdots\)
2880.1.p.a 2880.p 40.e $2$ $1.437$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-30}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{5}-q^{11}-q^{25}-iq^{29}-iq^{31}+\cdots\)
2880.1.p.b 2880.p 40.e $2$ $1.437$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-30}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{5}+q^{11}-q^{25}-iq^{29}+iq^{31}+\cdots\)
2880.1.r.a 2880.r 80.k $4$ $1.437$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{5}+(-\zeta_{8}-\zeta_{8}^{3})q^{17}+(-1+\cdots)q^{19}+\cdots\)
2880.1.bh.a 2880.bh 5.c $2$ $1.437$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) \(q-q^{5}+(-1-i)q^{13}+(-1+i)q^{17}+\cdots\)
2880.1.bh.b 2880.bh 5.c $2$ $1.437$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{5}+(1+i)q^{13}+(1-i)q^{17}-q^{25}+\cdots\)
2880.1.bh.c 2880.bh 5.c $2$ $1.437$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(q+q^{5}+(-1-i)q^{13}+(1-i)q^{17}+\cdots\)
2880.1.bk.a 2880.bk 60.l $4$ $1.437$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{3}q^{5}+(-1-\zeta_{8}^{2})q^{13}-\zeta_{8}q^{17}+\cdots\)
2880.1.bk.b 2880.bk 60.l $4$ $1.437$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}q^{5}+(1+\zeta_{8}^{2})q^{13}+\zeta_{8}^{2}q^{25}+\cdots\)
2880.1.bu.a 2880.bu 180.p $2$ $1.437$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(0\) \(-1\) \(1\) \(-1\) \(q+\zeta_{6}^{2}q^{3}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots\)
2880.1.bu.b 2880.bu 180.p $2$ $1.437$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(0\) \(1\) \(1\) \(1\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots\)
2880.1.bu.c 2880.bu 180.p $4$ $1.437$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(-2\) \(0\) \(q-\zeta_{12}^{5}q^{3}-\zeta_{12}^{2}q^{5}+(-\zeta_{12}^{3}-\zeta_{12}^{5}+\cdots)q^{7}+\cdots\)
2880.1.cd.a 2880.cd 45.h $8$ $1.437$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{11}q^{3}+\zeta_{24}^{2}q^{5}+(-\zeta_{24}^{3}+\cdots)q^{7}+\cdots\)
2880.1.ec.a 2880.ec 320.ah $16$ $1.437$ \(\Q(\zeta_{32})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{7}q^{2}+\zeta_{32}^{14}q^{4}-\zeta_{32}q^{5}+\cdots\)
2880.2.a.a 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{7}-2q^{13}-6q^{17}+4q^{19}+\cdots\)
2880.2.a.b 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{7}+6q^{13}+2q^{17}+4q^{19}+\cdots\)
2880.2.a.c 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{7}+4q^{11}-6q^{13}-2q^{17}+\cdots\)
2880.2.a.d 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-4q^{11}+6q^{13}-2q^{17}+\cdots\)
2880.2.a.e 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-2q^{11}-4q^{13}+2q^{17}+\cdots\)
2880.2.a.f 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-2q^{13}+6q^{17}-4q^{19}+\cdots\)
2880.2.a.g 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}+2q^{11}-2q^{17}+4q^{19}+\cdots\)
2880.2.a.h 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}+6q^{11}+4q^{13}-6q^{17}+\cdots\)
2880.2.a.i 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{11}-2q^{13}+2q^{17}+8q^{19}+\cdots\)
2880.2.a.j 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{11}-2q^{13}+2q^{17}-8q^{19}+\cdots\)
2880.2.a.k 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(-1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-6q^{11}+4q^{13}-6q^{17}+\cdots\)
2880.2.a.l 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(-1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-2q^{11}-2q^{17}-4q^{19}+\cdots\)
2880.2.a.m 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(-1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-2q^{13}+6q^{17}+4q^{19}+\cdots\)
2880.2.a.n 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(-1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}+2q^{11}-4q^{13}+2q^{17}+\cdots\)
2880.2.a.o 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(-1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}+4q^{11}+6q^{13}-2q^{17}+\cdots\)
2880.2.a.p 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(-1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}-4q^{11}-6q^{13}-2q^{17}+\cdots\)
2880.2.a.q 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(-1\) \(4\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}-2q^{13}-6q^{17}-4q^{19}+\cdots\)
2880.2.a.r 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(-1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}+6q^{13}+2q^{17}-4q^{19}+\cdots\)
2880.2.a.s 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(1\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{7}+2q^{13}+6q^{17}+4q^{23}+\cdots\)
2880.2.a.t 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(1\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{7}+4q^{11}+2q^{13}-2q^{17}+\cdots\)
2880.2.a.u 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-6q^{11}+4q^{13}+6q^{17}+\cdots\)
2880.2.a.v 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-2q^{11}+2q^{17}+4q^{19}+\cdots\)
2880.2.a.w 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}+2q^{11}-4q^{13}-2q^{17}+\cdots\)
2880.2.a.x 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{11}-6q^{13}+6q^{17}+4q^{19}+\cdots\)
2880.2.a.y 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{11}+2q^{13}-2q^{17}-4q^{19}+\cdots\)
2880.2.a.z 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{13}-6q^{17}-4q^{19}+8q^{23}+\cdots\)
2880.2.a.ba 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{13}-6q^{17}+4q^{19}-8q^{23}+\cdots\)
2880.2.a.bb 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{11}-6q^{13}+6q^{17}-4q^{19}+\cdots\)
2880.2.a.bc 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{11}+2q^{13}-2q^{17}+4q^{19}+\cdots\)
2880.2.a.bd 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}-2q^{11}-4q^{13}-2q^{17}+\cdots\)
2880.2.a.be 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}+2q^{11}+2q^{17}-4q^{19}+\cdots\)
2880.2.a.bf 2880.a 1.a $1$ $22.997$ \(\Q\) None None \(0\) \(0\) \(1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}+6q^{11}+4q^{13}+6q^{17}+\cdots\)
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