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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
3240.1.p.a \(1\) \(1.617\) \(\Q\) \(\Q(\sqrt{-10}) \) None \(-1\) \(0\) \(-1\) \(-1\) \(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots\)
3240.1.p.b \(1\) \(1.617\) \(\Q\) \(\Q(\sqrt{-10}) \) None \(-1\) \(0\) \(-1\) \(1\) \(q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots\)
3240.1.p.c \(1\) \(1.617\) \(\Q\) \(\Q(\sqrt{-10}) \) None \(1\) \(0\) \(1\) \(-1\) \(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
3240.1.p.d \(1\) \(1.617\) \(\Q\) \(\Q(\sqrt{-10}) \) None \(1\) \(0\) \(1\) \(1\) \(q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots\)
3240.1.p.e \(2\) \(1.617\) \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-10}) \) None \(-2\) \(0\) \(2\) \(0\) \(q-q^{2}+q^{4}+q^{5}-\beta q^{7}-q^{8}-q^{10}+\cdots\)
3240.1.p.f \(2\) \(1.617\) \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-10}) \) None \(2\) \(0\) \(-2\) \(0\) \(q+q^{2}+q^{4}-q^{5}-\beta q^{7}+q^{8}-q^{10}+\cdots\)
3240.1.v.a \(2\) \(1.617\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) \(q-q^{5}+q^{11}+iq^{19}+(-1-i)q^{23}+\cdots\)
3240.1.v.b \(2\) \(1.617\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(2\) \(0\) \(q+q^{5}-q^{11}+iq^{19}+(1+i)q^{23}+\cdots\)
3240.1.z.a \(2\) \(1.617\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-15}) \) None \(-2\) \(0\) \(-1\) \(0\) \(q-q^{2}+q^{4}+\zeta_{6}^{2}q^{5}-q^{8}-\zeta_{6}^{2}q^{10}+\cdots\)
3240.1.z.b \(2\) \(1.617\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-10}) \) None \(-1\) \(0\) \(-1\) \(-1\) \(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}-\zeta_{6}q^{7}+\cdots\)
3240.1.z.c \(2\) \(1.617\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-10}) \) None \(-1\) \(0\) \(-1\) \(1\) \(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}+\cdots\)
3240.1.z.d \(2\) \(1.617\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-10}) \) \(\Q(\sqrt{6}) \) \(-1\) \(0\) \(1\) \(0\) \(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}+q^{8}+\cdots\)
3240.1.z.e \(2\) \(1.617\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-15}) \) None \(-1\) \(0\) \(1\) \(0\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+q^{8}+\cdots\)
3240.1.z.f \(2\) \(1.617\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-10}) \) \(\Q(\sqrt{6}) \) \(1\) \(0\) \(-1\) \(0\) \(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}-q^{8}+\cdots\)
3240.1.z.g \(2\) \(1.617\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-15}) \) None \(1\) \(0\) \(-1\) \(0\) \(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}-q^{8}+\cdots\)
3240.1.z.h \(2\) \(1.617\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-10}) \) None \(1\) \(0\) \(1\) \(-1\) \(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{7}+\cdots\)
3240.1.z.i \(2\) \(1.617\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-10}) \) None \(1\) \(0\) \(1\) \(1\) \(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}+\cdots\)
3240.1.z.j \(2\) \(1.617\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-15}) \) None \(2\) \(0\) \(1\) \(0\) \(q+q^{2}+q^{4}-\zeta_{6}^{2}q^{5}+q^{8}-\zeta_{6}^{2}q^{10}+\cdots\)
3240.1.z.k \(4\) \(1.617\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-10}) \) None \(-2\) \(0\) \(2\) \(0\) \(q+\zeta_{12}^{4}q^{2}-\zeta_{12}^{2}q^{4}+\zeta_{12}^{2}q^{5}+\cdots\)
3240.1.z.l \(4\) \(1.617\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-10}) \) None \(2\) \(0\) \(-2\) \(0\) \(q-\zeta_{12}^{4}q^{2}-\zeta_{12}^{2}q^{4}-\zeta_{12}^{2}q^{5}+\cdots\)
3240.1.bh.a \(2\) \(1.617\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-30}) \) None \(-1\) \(0\) \(-1\) \(0\) \(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}+q^{8}+\cdots\)
3240.1.bh.b \(2\) \(1.617\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-30}) \) None \(-1\) \(0\) \(1\) \(0\) \(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}+q^{8}+\cdots\)
3240.1.bh.c \(2\) \(1.617\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-30}) \) None \(1\) \(0\) \(-1\) \(0\) \(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}-q^{8}+\cdots\)
3240.1.bh.d \(2\) \(1.617\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-30}) \) None \(1\) \(0\) \(1\) \(0\) \(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}-q^{8}+\cdots\)
3240.1.bh.e \(4\) \(1.617\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{3}q^{2}-q^{4}-\zeta_{12}^{5}q^{5}+\zeta_{12}^{3}q^{8}+\cdots\)
3240.1.bh.f \(4\) \(1.617\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(-6\) \(q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{5}+(-1+\cdots)q^{7}+\cdots\)
3240.1.bh.g \(4\) \(1.617\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}-\zeta_{12}^{5}q^{5}+\cdots\)
3240.1.bh.h \(4\) \(1.617\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{10}) \) \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{5}q^{5}-\zeta_{12}^{3}q^{8}+\cdots\)
3240.1.bh.i \(4\) \(1.617\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(6\) \(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}q^{5}+(1+\cdots)q^{7}+\cdots\)
3240.1.bn.a \(8\) \(1.617\) \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{7}q^{5}-\zeta_{24}^{2}q^{7}+(\zeta_{24}^{5}-\zeta_{24}^{11}+\cdots)q^{11}+\cdots\)
3240.1.bq.a \(4\) \(1.617\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(-2\) \(0\) \(q-\zeta_{12}^{2}q^{5}-\zeta_{12}^{4}q^{11}+\zeta_{12}^{3}q^{19}+\cdots\)
3240.1.bq.b \(4\) \(1.617\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(2\) \(0\) \(q+\zeta_{12}^{2}q^{5}+\zeta_{12}^{4}q^{11}+\zeta_{12}^{3}q^{19}+\cdots\)
3240.1.bv.a \(8\) \(1.617\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(-8\) \(q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}-\zeta_{24}q^{5}+(-1+\cdots)q^{7}+\cdots\)
3240.1.bv.b \(8\) \(1.617\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(4\) \(q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}-\zeta_{24}^{9}q^{5}+\cdots\)
3240.1.bv.c \(8\) \(1.617\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(4\) \(q+\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}-\zeta_{24}^{5}q^{5}+\cdots\)
3240.2.a.a \(1\) \(25.872\) \(\Q\) None None \(0\) \(0\) \(-1\) \(-2\) \(+\) \(q-q^{5}-2q^{7}+3q^{11}-2q^{17}+q^{19}+\cdots\)
3240.2.a.b \(1\) \(25.872\) \(\Q\) None None \(0\) \(0\) \(-1\) \(0\) \(+\) \(q-q^{5}-5q^{11}+3q^{17}+5q^{19}+6q^{23}+\cdots\)
3240.2.a.c \(1\) \(25.872\) \(\Q\) None None \(0\) \(0\) \(-1\) \(0\) \(+\) \(q-q^{5}+q^{11}-7q^{19}+6q^{23}+q^{25}+\cdots\)
3240.2.a.d \(1\) \(25.872\) \(\Q\) None None \(0\) \(0\) \(1\) \(-2\) \(+\) \(q+q^{5}-2q^{7}-3q^{11}+2q^{17}+q^{19}+\cdots\)
3240.2.a.e \(1\) \(25.872\) \(\Q\) None None \(0\) \(0\) \(1\) \(0\) \(+\) \(q+q^{5}-q^{11}-7q^{19}-6q^{23}+q^{25}+\cdots\)
3240.2.a.f \(1\) \(25.872\) \(\Q\) None None \(0\) \(0\) \(1\) \(0\) \(-\) \(q+q^{5}+5q^{11}-3q^{17}+5q^{19}-6q^{23}+\cdots\)
3240.2.a.g \(2\) \(25.872\) \(\Q(\sqrt{3}) \) None None \(0\) \(0\) \(-2\) \(-2\) \(+\) \(q-q^{5}+(-1+\beta )q^{7}+(2+\beta )q^{11}+(-2+\cdots)q^{13}+\cdots\)
3240.2.a.h \(2\) \(25.872\) \(\Q(\sqrt{57}) \) None None \(0\) \(0\) \(-2\) \(1\) \(-\) \(q-q^{5}+\beta q^{7}+(-3+\beta )q^{11}+(2+\beta )q^{13}+\cdots\)
3240.2.a.i \(2\) \(25.872\) \(\Q(\sqrt{33}) \) None None \(0\) \(0\) \(-2\) \(1\) \(-\) \(q-q^{5}+\beta q^{7}+(1-\beta )q^{11}-\beta q^{13}+\cdots\)
3240.2.a.j \(2\) \(25.872\) \(\Q(\sqrt{6}) \) None None \(0\) \(0\) \(-2\) \(2\) \(+\) \(q-q^{5}+(1+\beta )q^{7}-2q^{17}+(-2-2\beta )q^{19}+\cdots\)
3240.2.a.k \(2\) \(25.872\) \(\Q(\sqrt{3}) \) None None \(0\) \(0\) \(-2\) \(4\) \(-\) \(q-q^{5}+(2+\beta )q^{7}+(2+2\beta )q^{11}+(-2+\cdots)q^{13}+\cdots\)
3240.2.a.l \(2\) \(25.872\) \(\Q(\sqrt{3}) \) None None \(0\) \(0\) \(2\) \(-2\) \(+\) \(q+q^{5}+(-1+\beta )q^{7}+(-2-\beta )q^{11}+\cdots\)
3240.2.a.m \(2\) \(25.872\) \(\Q(\sqrt{33}) \) None None \(0\) \(0\) \(2\) \(1\) \(-\) \(q+q^{5}+\beta q^{7}+(-1+\beta )q^{11}-\beta q^{13}+\cdots\)
3240.2.a.n \(2\) \(25.872\) \(\Q(\sqrt{57}) \) None None \(0\) \(0\) \(2\) \(1\) \(-\) \(q+q^{5}+\beta q^{7}+(3-\beta )q^{11}+(2+\beta )q^{13}+\cdots\)
3240.2.a.o \(2\) \(25.872\) \(\Q(\sqrt{6}) \) None None \(0\) \(0\) \(2\) \(2\) \(-\) \(q+q^{5}+(1+\beta )q^{7}+2q^{17}+(-2-2\beta )q^{19}+\cdots\)
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