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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2520.1.b.a $4$ $1.258$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(-4\) \(0\) $-$ \(q+\zeta_{8}^{2}q^{2}-q^{4}-q^{5}-\zeta_{8}q^{7}-\zeta_{8}^{2}q^{8}+\cdots\)
2520.1.b.b $4$ $1.258$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(4\) \(0\) $-$ \(q-\zeta_{8}^{2}q^{2}-q^{4}+q^{5}-\zeta_{8}q^{7}+\zeta_{8}^{2}q^{8}+\cdots\)
2520.1.h.a $1$ $1.258$ \(\Q\) \(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-70}) \) \(\Q(\sqrt{105}) \) \(-1\) \(0\) \(-1\) \(-1\) $-$ \(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots\)
2520.1.h.b $1$ $1.258$ \(\Q\) \(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-70}) \) \(\Q(\sqrt{105}) \) \(-1\) \(0\) \(1\) \(1\) $-$ \(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots\)
2520.1.h.c $1$ $1.258$ \(\Q\) \(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-70}) \) \(\Q(\sqrt{105}) \) \(1\) \(0\) \(-1\) \(1\) $-$ \(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots\)
2520.1.h.d $1$ $1.258$ \(\Q\) \(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-70}) \) \(\Q(\sqrt{105}) \) \(1\) \(0\) \(1\) \(-1\) $-$ \(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
2520.1.h.e $4$ $1.258$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{8}^{2}q^{2}-q^{4}+\zeta_{8}^{3}q^{5}+\zeta_{8}^{2}q^{7}+\cdots\)
2520.1.ef.a $2$ $1.258$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-10}) \) None \(-1\) \(0\) \(-1\) \(-2\) $-$ \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}-q^{7}+\cdots\)
2520.1.ef.b $2$ $1.258$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-10}) \) None \(1\) \(0\) \(1\) \(2\) $-$ \(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+q^{7}+\cdots\)
2520.1.ef.c $4$ $1.258$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-10}) \) None \(-2\) \(0\) \(2\) \(0\) $-$ \(q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}+\zeta_{12}^{2}q^{5}+\cdots\)
2520.1.ef.d $4$ $1.258$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-10}) \) None \(2\) \(0\) \(-2\) \(0\) $-$ \(q+\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}-\zeta_{12}^{2}q^{5}+\cdots\)
2520.1.ek.a $2$ $1.258$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-6}) \) None \(-1\) \(0\) \(1\) \(-1\) $-$ \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}-\zeta_{6}q^{7}+\cdots\)
2520.1.ek.b $2$ $1.258$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-6}) \) None \(-1\) \(0\) \(2\) \(1\) $-$ \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+q^{5}+\zeta_{6}q^{7}+q^{8}+\cdots\)
2520.1.ek.c $2$ $1.258$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-6}) \) None \(1\) \(0\) \(-2\) \(1\) $-$ \(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{5}+\zeta_{6}q^{7}-q^{8}+\cdots\)
2520.1.ek.d $2$ $1.258$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-6}) \) None \(1\) \(0\) \(-1\) \(-1\) $-$ \(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}-\zeta_{6}q^{7}+\cdots\)
2520.1.eq.a $8$ $1.258$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(-4\) \(0\) $-$ \(q-\zeta_{24}^{10}q^{2}-\zeta_{24}^{8}q^{4}-\zeta_{24}^{4}q^{5}+\cdots\)
2520.1.eq.b $8$ $1.258$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(4\) \(0\) $-$ \(q+\zeta_{24}^{10}q^{2}-\zeta_{24}^{8}q^{4}+\zeta_{24}^{4}q^{5}+\cdots\)
2520.1.fw.a $8$ $1.258$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{24}^{2}q^{2}-\zeta_{24}^{9}q^{3}+\zeta_{24}^{4}q^{4}+\cdots\)
2520.1.fw.b $8$ $1.258$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{24}^{2}q^{2}-\zeta_{24}^{9}q^{3}+\zeta_{24}^{4}q^{4}+\cdots\)
2520.1.hf.a $16$ $1.258$ \(\Q(\zeta_{48})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{48}^{2}q^{2}+\zeta_{48}^{15}q^{3}+\zeta_{48}^{4}q^{4}+\cdots\)
2520.1.hf.b $16$ $1.258$ \(\Q(\zeta_{48})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{48}^{14}q^{2}+\zeta_{48}^{15}q^{3}-\zeta_{48}^{4}q^{4}+\cdots\)
2520.1.ik.a $8$ $1.258$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}+\zeta_{24}^{3}q^{5}+\zeta_{24}^{2}q^{7}+\cdots\)
2520.1.ik.b $8$ $1.258$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(4\) $-$ \(q+\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{11}q^{5}+\cdots\)
2520.2.a.a $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) $-$ \(q-q^{5}-q^{7}-4q^{11}-2q^{13}-2q^{17}+\cdots\)
2520.2.a.b $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) $-$ \(q-q^{5}-q^{7}-4q^{11}+6q^{13}+4q^{17}+\cdots\)
2520.2.a.c $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) $+$ \(q-q^{5}-q^{7}-2q^{11}-2q^{13}+6q^{17}+\cdots\)
2520.2.a.d $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) $+$ \(q-q^{5}-q^{7}+2q^{13}-2q^{17}+q^{25}+\cdots\)
2520.2.a.e $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) $-$ \(q-q^{5}-q^{7}+2q^{11}-6q^{13}-2q^{17}+\cdots\)
2520.2.a.f $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) $-$ \(q-q^{5}-q^{7}+4q^{11}-2q^{13}-2q^{17}+\cdots\)
2520.2.a.g $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) $+$ \(q-q^{5}+q^{7}-4q^{11}-2q^{13}+6q^{17}+\cdots\)
2520.2.a.h $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) $+$ \(q-q^{5}+q^{7}+2q^{11}-2q^{13}-2q^{17}+\cdots\)
2520.2.a.i $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) $-$ \(q-q^{5}+q^{7}+5q^{11}-5q^{13}+7q^{17}+\cdots\)
2520.2.a.j $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) $-$ \(q+q^{5}-q^{7}-4q^{11}-2q^{13}+6q^{17}+\cdots\)
2520.2.a.k $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) $-$ \(q+q^{5}-q^{7}-2q^{11}-6q^{13}+2q^{17}+\cdots\)
2520.2.a.l $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) $-$ \(q+q^{5}-q^{7}+6q^{13}+2q^{17}+4q^{19}+\cdots\)
2520.2.a.m $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) $+$ \(q+q^{5}-q^{7}+2q^{11}-2q^{13}-6q^{17}+\cdots\)
2520.2.a.n $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) $+$ \(q+q^{5}-q^{7}+4q^{11}-6q^{13}+2q^{17}+\cdots\)
2520.2.a.o $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) $-$ \(q+q^{5}-q^{7}+4q^{11}+6q^{13}-4q^{17}+\cdots\)
2520.2.a.p $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) $-$ \(q+q^{5}-q^{7}+5q^{11}+q^{13}-3q^{17}+\cdots\)
2520.2.a.q $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(1\) \(1\) $+$ \(q+q^{5}+q^{7}-2q^{11}-2q^{13}+2q^{17}+\cdots\)
2520.2.a.r $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(1\) \(1\) $+$ \(q+q^{5}+q^{7}-2q^{13}-6q^{17}-4q^{19}+\cdots\)
2520.2.a.s $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(1\) \(1\) $-$ \(q+q^{5}+q^{7}+2q^{13}-2q^{17}+4q^{19}+\cdots\)
2520.2.a.t $1$ $20.122$ \(\Q\) None None \(0\) \(0\) \(1\) \(1\) $-$ \(q+q^{5}+q^{7}+4q^{11}+2q^{13}+2q^{17}+\cdots\)
2520.2.a.u $2$ $20.122$ \(\Q(\sqrt{17}) \) None None \(0\) \(0\) \(-2\) \(2\) $-$ \(q-q^{5}+q^{7}+(-1-\beta )q^{11}+2q^{13}+\cdots\)
2520.2.a.v $2$ $20.122$ \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(-2\) \(2\) $-$ \(q-q^{5}+q^{7}+\beta q^{11}+2q^{13}+(-2+\cdots)q^{17}+\cdots\)
2520.2.a.w $2$ $20.122$ \(\Q(\sqrt{17}) \) None None \(0\) \(0\) \(-2\) \(2\) $+$ \(q-q^{5}+q^{7}+\beta q^{11}+(2-3\beta )q^{13}+\cdots\)
2520.2.a.x $2$ $20.122$ \(\Q(\sqrt{33}) \) None None \(0\) \(0\) \(2\) \(-2\) $+$ \(q+q^{5}-q^{7}+(-3-\beta )q^{11}+(1+\beta )q^{13}+\cdots\)
2520.2.a.y $2$ $20.122$ \(\Q(\sqrt{17}) \) None None \(0\) \(0\) \(2\) \(2\) $-$ \(q+q^{5}+q^{7}+(1+\beta )q^{11}+2q^{13}+(1+\cdots)q^{17}+\cdots\)
2520.2.e.a $48$ $20.122$ None None \(-4\) \(0\) \(48\) \(0\) $-$
2520.2.e.b $48$ $20.122$ None None \(4\) \(0\) \(-48\) \(0\) $-$
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