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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2240.1.c.a $2$ $1.118$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-35}) \), \(\Q(\sqrt{-10}) \) \(\Q(\sqrt{14}) \) \(0\) \(0\) \(0\) \(-2\) $-$ \(q-iq^{5}-q^{7}+q^{9}+iq^{11}+iq^{13}+\cdots\)
2240.1.c.b $2$ $1.118$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-35}) \), \(\Q(\sqrt{-10}) \) \(\Q(\sqrt{14}) \) \(0\) \(0\) \(0\) \(2\) $-$ \(q-iq^{5}+q^{7}+q^{9}-iq^{11}+iq^{13}+\cdots\)
2240.1.c.c $4$ $1.118$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(0\) \(-4\) $-$ \(q+(-\zeta_{12}^{2}-\zeta_{12}^{4})q^{3}-\zeta_{12}^{3}q^{5}+\cdots\)
2240.1.c.d $4$ $1.118$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(0\) \(4\) $-$ \(q+(-\zeta_{12}^{2}-\zeta_{12}^{4})q^{3}-\zeta_{12}^{3}q^{5}+\cdots\)
2240.1.p.a $1$ $1.118$ \(\Q\) \(\Q(\sqrt{-35}) \) None \(0\) \(-1\) \(-1\) \(-1\) $-$ \(q-q^{3}-q^{5}-q^{7}-q^{11}+q^{13}+q^{15}+\cdots\)
2240.1.p.b $1$ $1.118$ \(\Q\) \(\Q(\sqrt{-35}) \) None \(0\) \(-1\) \(1\) \(-1\) $-$ \(q-q^{3}+q^{5}-q^{7}+q^{11}-q^{13}-q^{15}+\cdots\)
2240.1.p.c $1$ $1.118$ \(\Q\) \(\Q(\sqrt{-35}) \) None \(0\) \(1\) \(-1\) \(1\) $-$ \(q+q^{3}-q^{5}+q^{7}+q^{11}+q^{13}-q^{15}+\cdots\)
2240.1.p.d $1$ $1.118$ \(\Q\) \(\Q(\sqrt{-35}) \) None \(0\) \(1\) \(1\) \(1\) $-$ \(q+q^{3}+q^{5}+q^{7}-q^{11}-q^{13}+q^{15}+\cdots\)
2240.1.p.e $4$ $1.118$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+(-\zeta_{8}+\zeta_{8}^{3})q^{3}+\zeta_{8}^{2}q^{5}-\zeta_{8}q^{7}+\cdots\)
2240.1.bk.a $8$ $1.118$ \(\Q(\zeta_{16})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+(-\zeta_{16}^{5}+\zeta_{16}^{7})q^{3}-\zeta_{16}^{3}q^{5}+\cdots\)
2240.1.bk.b $8$ $1.118$ \(\Q(\zeta_{16})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+(\zeta_{16}^{5}-\zeta_{16}^{7})q^{3}-\zeta_{16}^{3}q^{5}+\zeta_{16}^{6}q^{7}+\cdots\)
2240.1.br.a $8$ $1.118$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+(\zeta_{24}^{7}+\zeta_{24}^{9})q^{3}-\zeta_{24}^{10}q^{5}-\zeta_{24}^{11}q^{7}+\cdots\)
2240.1.bt.a $2$ $1.118$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(0\) \(-1\) \(1\) \(-1\) $-$ \(q+\zeta_{6}^{2}q^{3}+\zeta_{6}q^{5}+\zeta_{6}^{2}q^{7}-q^{15}+\cdots\)
2240.1.bt.b $2$ $1.118$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(0\) \(1\) \(1\) \(1\) $-$ \(q-\zeta_{6}^{2}q^{3}+\zeta_{6}q^{5}-\zeta_{6}^{2}q^{7}+q^{15}+\cdots\)
2240.1.bt.c $4$ $1.118$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ \(q+(-\zeta_{12}-\zeta_{12}^{3})q^{3}+\zeta_{12}^{4}q^{5}+\zeta_{12}^{5}q^{7}+\cdots\)
2240.1.ca.a $4$ $1.118$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(-4\) $-$ \(q-\zeta_{12}q^{5}-q^{7}+\zeta_{12}^{4}q^{9}-\zeta_{12}^{5}q^{11}+\cdots\)
2240.1.ca.b $4$ $1.118$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(4\) $-$ \(q-\zeta_{12}q^{5}+q^{7}+\zeta_{12}^{4}q^{9}+\zeta_{12}^{5}q^{11}+\cdots\)
2240.1.da.a $8$ $1.118$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(4\) \(0\) $-$ \(q-\zeta_{24}^{5}q^{3}+\zeta_{24}^{4}q^{5}-\zeta_{24}^{11}q^{7}+\cdots\)
2240.1.dl.a $8$ $1.118$ \(\Q(\zeta_{24})\) None None \(0\) \(-4\) \(0\) \(0\) $-$ \(q+(\zeta_{24}^{2}+\zeta_{24}^{8})q^{3}-\zeta_{24}^{7}q^{5}+\zeta_{24}^{9}q^{7}+\cdots\)
2240.1.dl.b $8$ $1.118$ \(\Q(\zeta_{24})\) None None \(0\) \(4\) \(0\) \(0\) $-$ \(q+(-\zeta_{24}^{2}-\zeta_{24}^{8})q^{3}-\zeta_{24}^{7}q^{5}+\cdots\)
2240.2.a.a $1$ $17.886$ \(\Q\) None None \(0\) \(-3\) \(-1\) \(-1\) $-$ \(q-3q^{3}-q^{5}-q^{7}+6q^{9}-5q^{11}+\cdots\)
2240.2.a.b $1$ $17.886$ \(\Q\) None None \(0\) \(-3\) \(-1\) \(1\) $+$ \(q-3q^{3}-q^{5}+q^{7}+6q^{9}-3q^{11}+\cdots\)
2240.2.a.c $1$ $17.886$ \(\Q\) None None \(0\) \(-3\) \(1\) \(-1\) $-$ \(q-3q^{3}+q^{5}-q^{7}+6q^{9}+5q^{11}+\cdots\)
2240.2.a.d $1$ $17.886$ \(\Q\) None None \(0\) \(-3\) \(1\) \(1\) $+$ \(q-3q^{3}+q^{5}+q^{7}+6q^{9}-q^{11}+q^{13}+\cdots\)
2240.2.a.e $1$ $17.886$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(-1\) $-$ \(q-q^{3}-q^{5}-q^{7}-2q^{9}-5q^{11}-5q^{13}+\cdots\)
2240.2.a.f $1$ $17.886$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(-1\) $+$ \(q-q^{3}-q^{5}-q^{7}-2q^{9}+3q^{11}+7q^{13}+\cdots\)
2240.2.a.g $1$ $17.886$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(1\) $-$ \(q-q^{3}-q^{5}+q^{7}-2q^{9}-3q^{11}+q^{13}+\cdots\)
2240.2.a.h $1$ $17.886$ \(\Q\) None None \(0\) \(-1\) \(1\) \(-1\) $-$ \(q-q^{3}+q^{5}-q^{7}-2q^{9}+q^{11}-3q^{13}+\cdots\)
2240.2.a.i $1$ $17.886$ \(\Q\) None None \(0\) \(-1\) \(1\) \(-1\) $+$ \(q-q^{3}+q^{5}-q^{7}-2q^{9}+q^{11}+q^{13}+\cdots\)
2240.2.a.j $1$ $17.886$ \(\Q\) None None \(0\) \(-1\) \(1\) \(1\) $-$ \(q-q^{3}+q^{5}+q^{7}-2q^{9}-5q^{11}-q^{13}+\cdots\)
2240.2.a.k $1$ $17.886$ \(\Q\) None None \(0\) \(-1\) \(1\) \(1\) $+$ \(q-q^{3}+q^{5}+q^{7}-2q^{9}+3q^{11}-5q^{13}+\cdots\)
2240.2.a.l $1$ $17.886$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) $-$ \(q-q^{5}-q^{7}-3q^{9}+2q^{13}+2q^{17}+\cdots\)
2240.2.a.m $1$ $17.886$ \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) $+$ \(q-q^{5}+q^{7}-3q^{9}+2q^{13}+2q^{17}+\cdots\)
2240.2.a.n $1$ $17.886$ \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) $-$ \(q+q^{5}-q^{7}-3q^{9}-4q^{11}+6q^{13}+\cdots\)
2240.2.a.o $1$ $17.886$ \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) $-$ \(q+q^{5}-q^{7}-3q^{9}+4q^{11}-2q^{13}+\cdots\)
2240.2.a.p $1$ $17.886$ \(\Q\) None None \(0\) \(0\) \(1\) \(1\) $+$ \(q+q^{5}+q^{7}-3q^{9}-4q^{11}-2q^{13}+\cdots\)
2240.2.a.q $1$ $17.886$ \(\Q\) None None \(0\) \(0\) \(1\) \(1\) $-$ \(q+q^{5}+q^{7}-3q^{9}+4q^{11}+6q^{13}+\cdots\)
2240.2.a.r $1$ $17.886$ \(\Q\) None None \(0\) \(1\) \(-1\) \(-1\) $-$ \(q+q^{3}-q^{5}-q^{7}-2q^{9}+3q^{11}+q^{13}+\cdots\)
2240.2.a.s $1$ $17.886$ \(\Q\) None None \(0\) \(1\) \(-1\) \(1\) $-$ \(q+q^{3}-q^{5}+q^{7}-2q^{9}-3q^{11}+7q^{13}+\cdots\)
2240.2.a.t $1$ $17.886$ \(\Q\) None None \(0\) \(1\) \(-1\) \(1\) $+$ \(q+q^{3}-q^{5}+q^{7}-2q^{9}+5q^{11}-5q^{13}+\cdots\)
2240.2.a.u $1$ $17.886$ \(\Q\) None None \(0\) \(1\) \(1\) \(-1\) $+$ \(q+q^{3}+q^{5}-q^{7}-2q^{9}-3q^{11}-5q^{13}+\cdots\)
2240.2.a.v $1$ $17.886$ \(\Q\) None None \(0\) \(1\) \(1\) \(-1\) $-$ \(q+q^{3}+q^{5}-q^{7}-2q^{9}+5q^{11}-q^{13}+\cdots\)
2240.2.a.w $1$ $17.886$ \(\Q\) None None \(0\) \(1\) \(1\) \(1\) $+$ \(q+q^{3}+q^{5}+q^{7}-2q^{9}-q^{11}-3q^{13}+\cdots\)
2240.2.a.x $1$ $17.886$ \(\Q\) None None \(0\) \(1\) \(1\) \(1\) $-$ \(q+q^{3}+q^{5}+q^{7}-2q^{9}-q^{11}+q^{13}+\cdots\)
2240.2.a.y $1$ $17.886$ \(\Q\) None None \(0\) \(3\) \(-1\) \(-1\) $-$ \(q+3q^{3}-q^{5}-q^{7}+6q^{9}+3q^{11}+\cdots\)
2240.2.a.z $1$ $17.886$ \(\Q\) None None \(0\) \(3\) \(-1\) \(1\) $-$ \(q+3q^{3}-q^{5}+q^{7}+6q^{9}+5q^{11}+\cdots\)
2240.2.a.ba $1$ $17.886$ \(\Q\) None None \(0\) \(3\) \(1\) \(-1\) $-$ \(q+3q^{3}+q^{5}-q^{7}+6q^{9}+q^{11}+q^{13}+\cdots\)
2240.2.a.bb $1$ $17.886$ \(\Q\) None None \(0\) \(3\) \(1\) \(1\) $-$ \(q+3q^{3}+q^{5}+q^{7}+6q^{9}-5q^{11}+\cdots\)
2240.2.a.bc $2$ $17.886$ \(\Q(\sqrt{17}) \) None None \(0\) \(-1\) \(-2\) \(-2\) $+$ \(q-\beta q^{3}-q^{5}-q^{7}+(1+\beta )q^{9}-\beta q^{11}+\cdots\)
2240.2.a.bd $2$ $17.886$ \(\Q(\sqrt{17}) \) None None \(0\) \(-1\) \(-2\) \(2\) $+$ \(q-\beta q^{3}-q^{5}+q^{7}+(1+\beta )q^{9}+\beta q^{11}+\cdots\)
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