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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1944.1.e.a \(2\) \(0.970\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta q^{5}-\beta q^{11}+q^{13}+\beta q^{17}-q^{19}+\cdots\)
1944.1.h.a \(3\) \(0.970\) \(\Q(\zeta_{18})^+\) \(\Q(\sqrt{-6}) \) None \(-3\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}+\beta _{1}q^{5}+(\beta _{1}-\beta _{2})q^{7}+\cdots\)
1944.1.h.b \(3\) \(0.970\) \(\Q(\zeta_{18})^+\) \(\Q(\sqrt{-6}) \) None \(3\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}-\beta _{1}q^{5}+(\beta _{1}-\beta _{2})q^{7}+\cdots\)
1944.1.h.c \(4\) \(0.970\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(4\) \(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots\)
1944.1.j.a \(6\) \(0.970\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-6}) \) None \(-3\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{3}q^{2}+\zeta_{18}^{6}q^{4}+(\zeta_{18}^{4}+\zeta_{18}^{8}+\cdots)q^{5}+\cdots\)
1944.1.j.b \(6\) \(0.970\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-6}) \) None \(3\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{3}q^{2}+\zeta_{18}^{6}q^{4}+(\zeta_{18}-\zeta_{18}^{2}+\cdots)q^{5}+\cdots\)
1944.1.j.c \(8\) \(0.970\) \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(-4\) \(q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}+(-\zeta_{24}^{5}-\zeta_{24}^{11}+\cdots)q^{5}+\cdots\)
1944.1.m.a \(4\) \(0.970\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(0\) \(0\) \(0\) \(q+(\beta _{1}-\beta _{3})q^{5}-\beta _{1}q^{11}-\beta _{2}q^{13}+\cdots\)
1944.1.r.a \(6\) \(0.970\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{4}q^{2}+\zeta_{18}^{8}q^{4}-\zeta_{18}^{3}q^{8}+\cdots\)
1944.1.r.b \(6\) \(0.970\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{4}q^{2}+\zeta_{18}^{8}q^{4}-\zeta_{18}^{3}q^{8}+\cdots\)
1944.1.r.c \(6\) \(0.970\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{4}q^{2}+\zeta_{18}^{8}q^{4}+\zeta_{18}^{3}q^{8}+\cdots\)
1944.1.r.d \(6\) \(0.970\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{4}q^{2}+\zeta_{18}^{8}q^{4}+\zeta_{18}^{3}q^{8}+\cdots\)
1944.1.bf.a \(18\) \(0.970\) \(\Q(\zeta_{54})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{54}^{7}q^{2}+\zeta_{54}^{14}q^{4}+\zeta_{54}^{21}q^{8}+\cdots\)
1944.1.bh.a \(54\) \(0.970\) \(\Q(\zeta_{162})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{162}^{32}q^{2}-\zeta_{162}^{29}q^{3}+\zeta_{162}^{64}q^{4}+\cdots\)
1944.2.a.a \(1\) \(15.523\) \(\Q\) None None \(0\) \(0\) \(-4\) \(3\) \(+\) \(q-4q^{5}+3q^{7}+2q^{11}-5q^{13}-2q^{17}+\cdots\)
1944.2.a.b \(1\) \(15.523\) \(\Q\) None None \(0\) \(0\) \(-2\) \(-3\) \(-\) \(q-2q^{5}-3q^{7}-2q^{11}+q^{13}+8q^{17}+\cdots\)
1944.2.a.c \(1\) \(15.523\) \(\Q\) None None \(0\) \(0\) \(-2\) \(0\) \(+\) \(q-2q^{5}-2q^{11}+q^{13}+2q^{17}+5q^{19}+\cdots\)
1944.2.a.d \(1\) \(15.523\) \(\Q\) None None \(0\) \(0\) \(-2\) \(3\) \(+\) \(q-2q^{5}+3q^{7}-2q^{11}+q^{13}-4q^{17}+\cdots\)
1944.2.a.e \(1\) \(15.523\) \(\Q\) None None \(0\) \(0\) \(-1\) \(0\) \(-\) \(q-q^{5}+2q^{11}-2q^{13}+4q^{17}-q^{19}+\cdots\)
1944.2.a.f \(1\) \(15.523\) \(\Q\) None None \(0\) \(0\) \(1\) \(0\) \(+\) \(q+q^{5}-2q^{11}-2q^{13}-4q^{17}-q^{19}+\cdots\)
1944.2.a.g \(1\) \(15.523\) \(\Q\) None None \(0\) \(0\) \(2\) \(-3\) \(+\) \(q+2q^{5}-3q^{7}+2q^{11}+q^{13}-8q^{17}+\cdots\)
1944.2.a.h \(1\) \(15.523\) \(\Q\) None None \(0\) \(0\) \(2\) \(0\) \(-\) \(q+2q^{5}+2q^{11}+q^{13}-2q^{17}+5q^{19}+\cdots\)
1944.2.a.i \(1\) \(15.523\) \(\Q\) None None \(0\) \(0\) \(2\) \(3\) \(-\) \(q+2q^{5}+3q^{7}+2q^{11}+q^{13}+4q^{17}+\cdots\)
1944.2.a.j \(1\) \(15.523\) \(\Q\) None None \(0\) \(0\) \(4\) \(3\) \(-\) \(q+4q^{5}+3q^{7}-2q^{11}-5q^{13}+2q^{17}+\cdots\)
1944.2.a.k \(2\) \(15.523\) \(\Q(\sqrt{3}) \) None None \(0\) \(0\) \(-2\) \(0\) \(+\) \(q+(-1+\beta )q^{5}+2\beta q^{7}+(-1-3\beta )q^{11}+\cdots\)
1944.2.a.l \(2\) \(15.523\) \(\Q(\sqrt{33}) \) None None \(0\) \(0\) \(-1\) \(-3\) \(-\) \(q-\beta q^{5}+(-1-\beta )q^{7}+4q^{11}+(2-2\beta )q^{13}+\cdots\)
1944.2.a.m \(2\) \(15.523\) \(\Q(\sqrt{33}) \) None None \(0\) \(0\) \(1\) \(-3\) \(+\) \(q+\beta q^{5}+(-1-\beta )q^{7}-4q^{11}+(2-2\beta )q^{13}+\cdots\)
1944.2.a.n \(2\) \(15.523\) \(\Q(\sqrt{3}) \) None None \(0\) \(0\) \(2\) \(0\) \(-\) \(q+(1+\beta )q^{5}-2\beta q^{7}+(1-3\beta )q^{11}+\cdots\)
1944.2.a.o \(3\) \(15.523\) \(\Q(\zeta_{18})^+\) None None \(0\) \(0\) \(0\) \(-3\) \(+\) \(q-\beta _{1}q^{5}+(-1+\beta _{1})q^{7}+(-1+2\beta _{1}+\cdots)q^{11}+\cdots\)
1944.2.a.p \(3\) \(15.523\) \(\Q(\zeta_{18})^+\) None None \(0\) \(0\) \(0\) \(-3\) \(+\) \(q+\beta _{1}q^{5}+(-1+\beta _{1})q^{7}+(1-2\beta _{1}+\cdots)q^{11}+\cdots\)
1944.2.a.q \(6\) \(15.523\) 6.6.9926793.1 None None \(0\) \(0\) \(0\) \(3\) \(-\) \(q-\beta _{2}q^{5}+(1-\beta _{4})q^{7}+(-\beta _{1}-\beta _{3}+\cdots)q^{11}+\cdots\)
1944.2.a.r \(6\) \(15.523\) 6.6.9926793.1 None None \(0\) \(0\) \(0\) \(3\) \(-\) \(q+\beta _{2}q^{5}+(1-\beta _{4})q^{7}+(\beta _{1}+\beta _{3}+\beta _{5})q^{11}+\cdots\)
1944.2.i.a \(2\) \(15.523\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(-4\) \(-3\) \(q-4\zeta_{6}q^{5}+(-3+3\zeta_{6})q^{7}+(2-2\zeta_{6})q^{11}+\cdots\)
1944.2.i.b \(2\) \(15.523\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(-2\) \(-3\) \(q-2\zeta_{6}q^{5}+(-3+3\zeta_{6})q^{7}+(-2+2\zeta_{6})q^{11}+\cdots\)
1944.2.i.c \(2\) \(15.523\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(-2\) \(0\) \(q-2\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{11}-\zeta_{6}q^{13}+\cdots\)
1944.2.i.d \(2\) \(15.523\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(-2\) \(3\) \(q-2\zeta_{6}q^{5}+(3-3\zeta_{6})q^{7}+(-2+2\zeta_{6})q^{11}+\cdots\)
1944.2.i.e \(2\) \(15.523\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(-1\) \(0\) \(q-\zeta_{6}q^{5}+(2-2\zeta_{6})q^{11}+2\zeta_{6}q^{13}+\cdots\)
1944.2.i.f \(2\) \(15.523\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(1\) \(0\) \(q+\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{11}+2\zeta_{6}q^{13}+\cdots\)
1944.2.i.g \(2\) \(15.523\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(2\) \(-3\) \(q+2\zeta_{6}q^{5}+(-3+3\zeta_{6})q^{7}+(2-2\zeta_{6})q^{11}+\cdots\)
1944.2.i.h \(2\) \(15.523\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(2\) \(0\) \(q+2\zeta_{6}q^{5}+(2-2\zeta_{6})q^{11}-\zeta_{6}q^{13}+\cdots\)
1944.2.i.i \(2\) \(15.523\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(2\) \(3\) \(q+2\zeta_{6}q^{5}+(3-3\zeta_{6})q^{7}+(2-2\zeta_{6})q^{11}+\cdots\)
1944.2.i.j \(2\) \(15.523\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(4\) \(-3\) \(q+4\zeta_{6}q^{5}+(-3+3\zeta_{6})q^{7}+(-2+2\zeta_{6})q^{11}+\cdots\)
1944.2.i.k \(4\) \(15.523\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(-2\) \(0\) \(q+(-\zeta_{12}+\zeta_{12}^{2})q^{5}+(2\zeta_{12}^{2}-2\zeta_{12}^{3})q^{7}+\cdots\)
1944.2.i.l \(4\) \(15.523\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None None \(0\) \(0\) \(-1\) \(3\) \(q+(-\beta _{1}+\beta _{3})q^{5}+(1-2\beta _{1}-\beta _{2}+\beta _{3})q^{7}+\cdots\)
1944.2.i.m \(4\) \(15.523\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None None \(0\) \(0\) \(1\) \(3\) \(q+\beta _{3}q^{5}+(2-\beta _{1}+\beta _{2}-\beta _{3})q^{7}+(-4+\cdots)q^{11}+\cdots\)
1944.2.i.n \(4\) \(15.523\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(2\) \(0\) \(q+(\zeta_{12}-\zeta_{12}^{2})q^{5}+(2\zeta_{12}^{2}-2\zeta_{12}^{3})q^{7}+\cdots\)
1944.2.i.o \(6\) \(15.523\) \(\Q(\zeta_{18})\) None None \(0\) \(0\) \(0\) \(3\) \(q+(-\zeta_{18}^{2}+\zeta_{18}^{3}+\zeta_{18}^{4}-\zeta_{18}^{5})q^{5}+\cdots\)
1944.2.i.p \(6\) \(15.523\) \(\Q(\zeta_{18})\) None None \(0\) \(0\) \(0\) \(3\) \(q+(\zeta_{18}^{2}-\zeta_{18}^{3}-\zeta_{18}^{4}+\zeta_{18}^{5})q^{5}+\cdots\)
1944.2.i.q \(12\) \(15.523\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(0\) \(0\) \(-3\) \(q+\beta _{6}q^{5}+(-\beta _{1}-\beta _{2}-\beta _{8}+\beta _{9})q^{7}+\cdots\)
1944.2.i.r \(12\) \(15.523\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(0\) \(0\) \(-3\) \(q-\beta _{6}q^{5}+(-\beta _{1}+\beta _{2}-\beta _{8}-\beta _{9})q^{7}+\cdots\)
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