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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2340.1.i.a $1$ $1.168$ \(\Q\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-65}) \) \(\Q(\sqrt{65}) \) \(-1\) \(0\) \(1\) \(0\) $-$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-q^{13}+\cdots\)
2340.1.i.b $1$ $1.168$ \(\Q\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-65}) \) \(\Q(\sqrt{65}) \) \(1\) \(0\) \(-1\) \(0\) $-$ \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+q^{13}+\cdots\)
2340.1.i.c $4$ $1.168$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}-\zeta_{8}q^{5}-\zeta_{8}^{3}q^{8}+\cdots\)
2340.1.i.d $4$ $1.168$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}q^{5}+\zeta_{8}q^{8}+\cdots\)
2340.1.v.a $2$ $1.168$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ \(q-iq^{2}-q^{4}-q^{5}+iq^{8}+iq^{10}+\cdots\)
2340.1.v.b $2$ $1.168$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ \(q+iq^{2}-q^{4}-q^{5}-iq^{8}-iq^{10}+\cdots\)
2340.1.v.c $2$ $1.168$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) $-$ \(q-iq^{2}-q^{4}+q^{5}+iq^{8}-iq^{10}+\cdots\)
2340.1.z.a $4$ $1.168$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}-\zeta_{8}q^{8}+\cdots\)
2340.1.z.b $4$ $1.168$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+\zeta_{8}^{3}q^{5}+\zeta_{8}q^{8}+\cdots\)
2340.1.be.a $4$ $1.168$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}q^{5}-\zeta_{8}q^{8}+\cdots\)
2340.1.be.b $4$ $1.168$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+\zeta_{8}q^{5}-\zeta_{8}q^{8}+\cdots\)
2340.1.bo.a $2$ $1.168$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) $-$ \(q-q^{2}+q^{4}+iq^{5}-q^{8}-iq^{10}-q^{13}+\cdots\)
2340.1.bo.b $2$ $1.168$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(2\) \(0\) \(0\) \(0\) $-$ \(q+q^{2}+q^{4}-iq^{5}+q^{8}-iq^{10}-q^{13}+\cdots\)
2340.1.bo.c $2$ $1.168$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(2\) \(0\) \(0\) \(0\) $-$ \(q+q^{2}+q^{4}+iq^{5}+q^{8}+iq^{10}+iq^{13}+\cdots\)
2340.1.cq.a $4$ $1.168$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}-\zeta_{12}q^{5}-\zeta_{12}^{3}q^{8}+\cdots\)
2340.1.cq.b $4$ $1.168$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}+\zeta_{12}^{5}q^{5}+\cdots\)
2340.1.db.a $2$ $1.168$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-65}) \) None \(-1\) \(-2\) \(-1\) \(0\) $-$ \(q-\zeta_{6}q^{2}-q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}+\cdots\)
2340.1.db.b $2$ $1.168$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-65}) \) None \(-1\) \(2\) \(-1\) \(0\) $-$ \(q-\zeta_{6}q^{2}+q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}+\cdots\)
2340.1.db.c $2$ $1.168$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-65}) \) None \(1\) \(-2\) \(1\) \(0\) $-$ \(q+\zeta_{6}q^{2}-q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}+\cdots\)
2340.1.db.d $2$ $1.168$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-65}) \) None \(1\) \(2\) \(1\) \(0\) $-$ \(q+\zeta_{6}q^{2}+q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}+\cdots\)
2340.1.db.e $4$ $1.168$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-65}) \) None \(-2\) \(0\) \(2\) \(0\) $-$ \(q+\zeta_{12}^{4}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{2}q^{4}+\cdots\)
2340.1.db.f $4$ $1.168$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-65}) \) None \(2\) \(0\) \(-2\) \(0\) $-$ \(q-\zeta_{12}^{4}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{2}q^{4}+\cdots\)
2340.1.dd.a $2$ $1.168$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(1\) \(0\) $-$ \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+q^{8}-q^{10}+\cdots\)
2340.1.dd.b $2$ $1.168$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-1}) \) None \(1\) \(0\) \(-1\) \(0\) $-$ \(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}-q^{8}+\cdots\)
2340.1.em.a $4$ $1.168$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}+\zeta_{12}^{5}q^{5}+\cdots\)
2340.1.em.b $4$ $1.168$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}-\zeta_{12}q^{5}+q^{8}+\cdots\)
2340.1.em.c $4$ $1.168$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-1}) \) None \(2\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}+\zeta_{12}q^{5}-q^{8}+\cdots\)
2340.1.ex.a $8$ $1.168$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}-\zeta_{24}q^{5}+\zeta_{24}^{3}q^{8}+\cdots\)
2340.1.ex.b $8$ $1.168$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{5}q^{5}-\zeta_{24}^{3}q^{8}+\cdots\)
2340.1.ga.a $8$ $1.168$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{24}^{5}q^{2}+\zeta_{24}^{10}q^{4}-\zeta_{24}^{11}q^{5}+\cdots\)
2340.1.ga.b $8$ $1.168$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{24}^{5}q^{2}+\zeta_{24}^{10}q^{4}-\zeta_{24}^{7}q^{5}+\cdots\)
2340.1.gi.a $4$ $1.168$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{12}q^{3}+\zeta_{12}q^{5}+\zeta_{12}^{2}q^{9}-\zeta_{12}q^{13}+\cdots\)
2340.1.gi.b $4$ $1.168$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(2\) \(0\) $-$ \(q-\zeta_{12}q^{3}-\zeta_{12}^{4}q^{5}+\zeta_{12}^{2}q^{9}+\zeta_{12}q^{13}+\cdots\)
2340.1.gu.a $8$ $1.168$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}-\zeta_{24}^{7}q^{5}+\cdots\)
2340.1.gu.b $8$ $1.168$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}-\zeta_{24}^{11}q^{5}+\cdots\)
2340.1.hj.a $4$ $1.168$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ \(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{4}q^{5}+\zeta_{12}^{3}q^{8}+\cdots\)
2340.1.hj.b $4$ $1.168$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) $-$ \(q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{4}q^{5}-\zeta_{12}^{3}q^{8}+\cdots\)
2340.1.hj.c $4$ $1.168$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) $-$ \(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{2}q^{5}+\zeta_{12}^{3}q^{8}+\cdots\)
2340.2.a.a $1$ $18.685$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-2\) $+$ \(q-q^{5}-2q^{7}+2q^{11}-q^{13}+2q^{17}+\cdots\)
2340.2.a.b $1$ $18.685$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) $-$ \(q-q^{5}-q^{7}+q^{11}-q^{13}+5q^{17}+\cdots\)
2340.2.a.c $1$ $18.685$ \(\Q\) None None \(0\) \(0\) \(-1\) \(0\) $+$ \(q-q^{5}-6q^{11}+q^{13}+4q^{17}+4q^{19}+\cdots\)
2340.2.a.d $1$ $18.685$ \(\Q\) None None \(0\) \(0\) \(-1\) \(3\) $-$ \(q-q^{5}+3q^{7}-q^{11}+q^{13}+3q^{17}+\cdots\)
2340.2.a.e $1$ $18.685$ \(\Q\) None None \(0\) \(0\) \(1\) \(-2\) $-$ \(q+q^{5}-2q^{7}+6q^{11}-q^{13}+2q^{17}+\cdots\)
2340.2.a.f $1$ $18.685$ \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) $+$ \(q+q^{5}-q^{7}-3q^{11}+q^{13}-3q^{17}+\cdots\)
2340.2.a.g $1$ $18.685$ \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) $+$ \(q+q^{5}-q^{7}-q^{11}-q^{13}-5q^{17}+\cdots\)
2340.2.a.h $1$ $18.685$ \(\Q\) None None \(0\) \(0\) \(1\) \(0\) $-$ \(q+q^{5}+6q^{11}+q^{13}-4q^{17}+4q^{19}+\cdots\)
2340.2.a.i $1$ $18.685$ \(\Q\) None None \(0\) \(0\) \(1\) \(2\) $-$ \(q+q^{5}+2q^{7}-4q^{11}-q^{13}-2q^{17}+\cdots\)
2340.2.a.j $2$ $18.685$ \(\Q(\sqrt{33}) \) None None \(0\) \(0\) \(-2\) \(1\) $+$ \(q-q^{5}+\beta q^{7}+(2-\beta )q^{11}+q^{13}+(-4+\cdots)q^{17}+\cdots\)
2340.2.a.k $2$ $18.685$ \(\Q(\sqrt{17}) \) None None \(0\) \(0\) \(-2\) \(3\) $+$ \(q-q^{5}+(1+\beta )q^{7}+(-1-\beta )q^{11}-q^{13}+\cdots\)
2340.2.a.l $2$ $18.685$ \(\Q(\sqrt{73}) \) None None \(0\) \(0\) \(2\) \(-1\) $-$ \(q+q^{5}-\beta q^{7}-\beta q^{11}-q^{13}+\beta q^{17}+\cdots\)
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