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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
4680.2.a.a \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(-1\) \(-5\) \(+\) \(q-q^{5}-5q^{7}-q^{11}+q^{13}+3q^{17}+\cdots\)
4680.2.a.b \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(-1\) \(-3\) \(+\) \(q-q^{5}-3q^{7}-3q^{11}+q^{13}+3q^{17}+\cdots\)
4680.2.a.c \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(-1\) \(-3\) \(+\) \(q-q^{5}-3q^{7}+3q^{11}-q^{13}+q^{17}+\cdots\)
4680.2.a.d \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) \(-\) \(q-q^{5}-2q^{7}+q^{13}+4q^{17}+6q^{19}+\cdots\)
4680.2.a.e \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(+\) \(q-q^{5}-2q^{11}+q^{13}-2q^{17}+2q^{19}+\cdots\)
4680.2.a.f \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(+\) \(q-q^{5}+q^{13}+6q^{17}-8q^{19}-6q^{23}+\cdots\)
4680.2.a.g \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(+\) \(q-q^{5}+4q^{11}+q^{13}-2q^{17}-4q^{19}+\cdots\)
4680.2.a.h \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(-1\) \(2\) \(-\) \(q-q^{5}+2q^{7}-4q^{11}-q^{13}-8q^{17}+\cdots\)
4680.2.a.i \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(-1\) \(2\) \(+\) \(q-q^{5}+2q^{7}-4q^{11}-q^{13}+2q^{19}+\cdots\)
4680.2.a.j \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(-1\) \(3\) \(+\) \(q-q^{5}+3q^{7}+5q^{11}-q^{13}-3q^{17}+\cdots\)
4680.2.a.k \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(-1\) \(4\) \(+\) \(q-q^{5}+4q^{7}-4q^{11}+q^{13}-6q^{17}+\cdots\)
4680.2.a.l \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(-1\) \(4\) \(-\) \(q-q^{5}+4q^{7}+q^{13}-2q^{17}+q^{25}+\cdots\)
4680.2.a.m \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(1\) \(-4\) \(+\) \(q+q^{5}-4q^{7}-4q^{11}+q^{13}+6q^{17}+\cdots\)
4680.2.a.n \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(1\) \(-3\) \(+\) \(q+q^{5}-3q^{7}+3q^{11}+q^{13}-3q^{17}+\cdots\)
4680.2.a.o \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(1\) \(-1\) \(+\) \(q+q^{5}-q^{7}+5q^{11}+q^{13}-3q^{17}+\cdots\)
4680.2.a.p \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(+\) \(q+q^{5}-4q^{11}+q^{13}+2q^{17}-4q^{19}+\cdots\)
4680.2.a.q \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(-\) \(q+q^{5}-q^{13}-2q^{17}-4q^{23}+q^{25}+\cdots\)
4680.2.a.r \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(+\) \(q+q^{5}+q^{13}-6q^{17}-8q^{19}+6q^{23}+\cdots\)
4680.2.a.s \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(-\) \(q+q^{5}+q^{13}+6q^{17}+4q^{19}+q^{25}+\cdots\)
4680.2.a.t \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(-\) \(q+q^{5}+4q^{11}-q^{13}+6q^{17}+4q^{19}+\cdots\)
4680.2.a.u \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(1\) \(2\) \(-\) \(q+q^{5}+2q^{7}+4q^{11}-q^{13}+8q^{17}+\cdots\)
4680.2.a.v \(1\) \(37.370\) \(\Q\) None \(0\) \(0\) \(1\) \(3\) \(+\) \(q+q^{5}+3q^{7}-5q^{11}-q^{13}+3q^{17}+\cdots\)
4680.2.a.w \(2\) \(37.370\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(-4\) \(-\) \(q-q^{5}-2q^{7}-3\beta q^{11}-q^{13}+(2+2\beta )q^{17}+\cdots\)
4680.2.a.x \(2\) \(37.370\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(-4\) \(+\) \(q-q^{5}-2q^{7}-q^{13}+(2-\beta )q^{17}+2q^{19}+\cdots\)
4680.2.a.y \(2\) \(37.370\) \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(-2\) \(-1\) \(-\) \(q-q^{5}-\beta q^{7}+(4-\beta )q^{11}+q^{13}+(2+\cdots)q^{17}+\cdots\)
4680.2.a.z \(2\) \(37.370\) \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(-2\) \(4\) \(+\) \(q-q^{5}+2q^{7}+(2-\beta )q^{11}-q^{13}+(-2+\cdots)q^{17}+\cdots\)
4680.2.a.ba \(2\) \(37.370\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(2\) \(-4\) \(+\) \(q+q^{5}-2q^{7}-q^{13}+(-2-\beta )q^{17}+\cdots\)
4680.2.a.bb \(2\) \(37.370\) \(\Q(\sqrt{41}) \) None \(0\) \(0\) \(2\) \(-1\) \(+\) \(q+q^{5}-\beta q^{7}+(2+\beta )q^{11}-q^{13}+(-2+\cdots)q^{17}+\cdots\)
4680.2.a.bc \(2\) \(37.370\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(2\) \(0\) \(+\) \(q+q^{5}+(-3-\beta )q^{11}-q^{13}-2q^{17}+\cdots\)
4680.2.a.bd \(2\) \(37.370\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(2\) \(0\) \(+\) \(q+q^{5}+2\beta q^{7}+(-1-\beta )q^{11}+q^{13}+\cdots\)
4680.2.a.be \(2\) \(37.370\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(2\) \(0\) \(-\) \(q+q^{5}+2\beta q^{7}+(3+\beta )q^{11}+q^{13}+\cdots\)
4680.2.a.bf \(2\) \(37.370\) \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(2\) \(1\) \(-\) \(q+q^{5}+\beta q^{7}+\beta q^{11}-q^{13}+(-2+\cdots)q^{17}+\cdots\)
4680.2.a.bg \(3\) \(37.370\) 3.3.1016.1 None \(0\) \(0\) \(-3\) \(-1\) \(-\) \(q-q^{5}-\beta _{2}q^{7}+(2-\beta _{1})q^{11}-q^{13}+\cdots\)
4680.2.a.bh \(3\) \(37.370\) 3.3.940.1 None \(0\) \(0\) \(-3\) \(1\) \(-\) \(q-q^{5}+\beta _{2}q^{7}+(-2-\beta _{1})q^{11}-q^{13}+\cdots\)
4680.2.a.bi \(3\) \(37.370\) 3.3.621.1 None \(0\) \(0\) \(-3\) \(3\) \(-\) \(q-q^{5}+(1+\beta _{2})q^{7}+(-1+\beta _{1}+\beta _{2})q^{11}+\cdots\)
4680.2.a.bj \(3\) \(37.370\) 3.3.1016.1 None \(0\) \(0\) \(3\) \(-1\) \(-\) \(q+q^{5}-\beta _{2}q^{7}+(-2+\beta _{1})q^{11}-q^{13}+\cdots\)
4680.2.a.bk \(3\) \(37.370\) 3.3.621.1 None \(0\) \(0\) \(3\) \(3\) \(-\) \(q+q^{5}+(1+\beta _{2})q^{7}+(1-\beta _{1}-\beta _{2})q^{11}+\cdots\)
4680.2.a.bl \(3\) \(37.370\) 3.3.1849.1 None \(0\) \(0\) \(3\) \(5\) \(-\) \(q+q^{5}+(2-\beta _{1})q^{7}+(-1-\beta _{2})q^{11}+\cdots\)
4680.2.g.a \(2\) \(37.370\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{5}+4iq^{7}-4iq^{11}+(-3-2i)q^{13}+\cdots\)
4680.2.g.b \(2\) \(37.370\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{5}+2iq^{7}+4iq^{11}+(-3+2i)q^{13}+\cdots\)
4680.2.g.c \(2\) \(37.370\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{5}+2iq^{7}+(-3+2i)q^{13}+6q^{17}+\cdots\)
4680.2.g.d \(2\) \(37.370\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{5}+6iq^{11}+(-2-3i)q^{13}+\cdots\)
4680.2.g.e \(2\) \(37.370\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{5}+3iq^{7}+3iq^{11}+(-2-3i)q^{13}+\cdots\)
4680.2.g.f \(4\) \(37.370\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{5}-\zeta_{12}^{2}q^{7}+(1-\zeta_{12}^{2})q^{13}+\cdots\)
4680.2.g.g \(4\) \(37.370\) \(\Q(i, \sqrt{17})\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{5}+(\beta _{1}-\beta _{2})q^{7}+(-\beta _{1}-\beta _{2}+\cdots)q^{11}+\cdots\)
4680.2.g.h \(4\) \(37.370\) \(\Q(i, \sqrt{41})\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{5}+(\beta _{1}-\beta _{2})q^{7}+(\beta _{1}+\beta _{2})q^{11}+\cdots\)
4680.2.g.i \(6\) \(37.370\) 6.0.3356224.1 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{5}+(-2\beta _{1}+\beta _{4})q^{7}+(-2\beta _{4}+\cdots)q^{11}+\cdots\)
4680.2.g.j \(6\) \(37.370\) 6.0.350464.1 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{3}q^{5}+(\beta _{3}-\beta _{4}+\beta _{5})q^{7}+(\beta _{3}+\beta _{4}+\cdots)q^{11}+\cdots\)
4680.2.g.k \(8\) \(37.370\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{2}q^{5}+(-\beta _{2}-\beta _{4}+\beta _{5})q^{7}+\beta _{4}q^{11}+\cdots\)
4680.2.g.l \(12\) \(37.370\) 12.0.\(\cdots\).1 None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{5}-\beta _{2}q^{7}+\beta _{6}q^{11}+(-1-\beta _{7}+\cdots)q^{13}+\cdots\)
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