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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2280.1.t.a \(1\) \(1.138\) \(\Q\) \(\Q(\sqrt{-95}) \), \(\Q(\sqrt{-570}) \) \(\Q(\sqrt{6}) \) \(-1\) \(-1\) \(-1\) \(0\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots\)
2280.1.t.b \(1\) \(1.138\) \(\Q\) \(\Q(\sqrt{-95}) \), \(\Q(\sqrt{-570}) \) \(\Q(\sqrt{6}) \) \(-1\) \(1\) \(1\) \(0\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots\)
2280.1.t.c \(1\) \(1.138\) \(\Q\) \(\Q(\sqrt{-95}) \), \(\Q(\sqrt{-570}) \) \(\Q(\sqrt{6}) \) \(1\) \(-1\) \(1\) \(0\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
2280.1.t.d \(1\) \(1.138\) \(\Q\) \(\Q(\sqrt{-95}) \), \(\Q(\sqrt{-570}) \) \(\Q(\sqrt{6}) \) \(1\) \(1\) \(-1\) \(0\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots\)
2280.1.t.e \(2\) \(1.138\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-95}) \), \(\Q(\sqrt{-114}) \) \(\Q(\sqrt{30}) \) \(0\) \(0\) \(-2\) \(0\) \(q-iq^{2}-iq^{3}-q^{4}-q^{5}-q^{6}+iq^{8}+\cdots\)
2280.1.t.f \(2\) \(1.138\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-114}) \) \(\Q(\sqrt{190}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}+iq^{3}-q^{4}-iq^{5}+q^{6}+iq^{8}+\cdots\)
2280.1.t.g \(2\) \(1.138\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-114}) \) \(\Q(\sqrt{190}) \) \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}-iq^{3}-q^{4}-iq^{5}+q^{6}-iq^{8}+\cdots\)
2280.1.t.h \(2\) \(1.138\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-95}) \), \(\Q(\sqrt{-114}) \) \(\Q(\sqrt{30}) \) \(0\) \(0\) \(2\) \(0\) \(q-iq^{2}-iq^{3}-q^{4}+q^{5}-q^{6}+iq^{8}+\cdots\)
2280.1.t.i \(4\) \(1.138\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-95}) \) None \(0\) \(0\) \(-4\) \(0\) \(q+\zeta_{8}^{3}q^{2}-\zeta_{8}q^{3}-\zeta_{8}^{2}q^{4}-q^{5}+\cdots\)
2280.1.t.j \(4\) \(1.138\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-95}) \) None \(0\) \(0\) \(4\) \(0\) \(q+\zeta_{8}q^{2}-\zeta_{8}q^{3}+\zeta_{8}^{2}q^{4}+q^{5}-\zeta_{8}^{2}q^{6}+\cdots\)
2280.1.cf.a \(4\) \(1.138\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{3}q^{2}+\zeta_{12}^{5}q^{3}-q^{4}-\zeta_{12}^{5}q^{5}+\cdots\)
2280.1.cf.b \(4\) \(1.138\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{2}-\zeta_{12}^{5}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{5}q^{5}+\cdots\)
2280.1.cs.a \(4\) \(1.138\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}-q^{4}-\zeta_{12}q^{5}+\cdots\)
2280.1.cs.b \(4\) \(1.138\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{4}q^{4}+\zeta_{12}q^{5}+\cdots\)
2280.1.dj.a \(8\) \(1.138\) \(\Q(\zeta_{24})\) None None \(0\) \(-4\) \(0\) \(0\) \(q+\zeta_{24}q^{2}-\zeta_{24}^{4}q^{3}+\zeta_{24}^{2}q^{4}-\zeta_{24}q^{5}+\cdots\)
2280.1.dj.b \(8\) \(1.138\) \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}q^{2}-\zeta_{24}^{10}q^{3}+\zeta_{24}^{2}q^{4}+\cdots\)
2280.1.ea.a \(12\) \(1.138\) \(\Q(\zeta_{36})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{36}^{13}q^{2}+\zeta_{36}^{11}q^{3}-\zeta_{36}^{8}q^{4}+\cdots\)
2280.1.ea.b \(12\) \(1.138\) \(\Q(\zeta_{36})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{36}^{15}q^{2}+\zeta_{36}^{11}q^{3}-\zeta_{36}^{12}q^{4}+\cdots\)
2280.1.el.a \(12\) \(1.138\) \(\Q(\zeta_{36})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{36}^{7}q^{2}+\zeta_{36}^{17}q^{3}+\zeta_{36}^{14}q^{4}+\cdots\)
2280.1.el.b \(12\) \(1.138\) \(\Q(\zeta_{36})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{36}^{15}q^{2}+\zeta_{36}^{17}q^{3}-\zeta_{36}^{12}q^{4}+\cdots\)
2280.2.a.a \(1\) \(18.206\) \(\Q\) None None \(0\) \(-1\) \(1\) \(0\) \(+\) \(q-q^{3}+q^{5}+q^{9}-2q^{13}-q^{15}-6q^{17}+\cdots\)
2280.2.a.b \(1\) \(18.206\) \(\Q\) None None \(0\) \(-1\) \(1\) \(0\) \(-\) \(q-q^{3}+q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots\)
2280.2.a.c \(1\) \(18.206\) \(\Q\) None None \(0\) \(-1\) \(1\) \(2\) \(-\) \(q-q^{3}+q^{5}+2q^{7}+q^{9}-2q^{13}-q^{15}+\cdots\)
2280.2.a.d \(1\) \(18.206\) \(\Q\) None None \(0\) \(-1\) \(1\) \(2\) \(-\) \(q-q^{3}+q^{5}+2q^{7}+q^{9}+6q^{11}+4q^{13}+\cdots\)
2280.2.a.e \(1\) \(18.206\) \(\Q\) None None \(0\) \(1\) \(-1\) \(-2\) \(-\) \(q+q^{3}-q^{5}-2q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
2280.2.a.f \(1\) \(18.206\) \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) \(+\) \(q+q^{3}-q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
2280.2.a.g \(1\) \(18.206\) \(\Q\) None None \(0\) \(1\) \(1\) \(-2\) \(+\) \(q+q^{3}+q^{5}-2q^{7}+q^{9}-2q^{11}-4q^{13}+\cdots\)
2280.2.a.h \(1\) \(18.206\) \(\Q\) None None \(0\) \(1\) \(1\) \(0\) \(-\) \(q+q^{3}+q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
2280.2.a.i \(1\) \(18.206\) \(\Q\) None None \(0\) \(1\) \(1\) \(4\) \(-\) \(q+q^{3}+q^{5}+4q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
2280.2.a.j \(1\) \(18.206\) \(\Q\) None None \(0\) \(1\) \(1\) \(4\) \(-\) \(q+q^{3}+q^{5}+4q^{7}+q^{9}+2q^{13}+q^{15}+\cdots\)
2280.2.a.k \(2\) \(18.206\) \(\Q(\sqrt{2}) \) None None \(0\) \(-2\) \(-2\) \(0\) \(+\) \(q-q^{3}-q^{5}+\beta q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots\)
2280.2.a.l \(2\) \(18.206\) \(\Q(\sqrt{2}) \) None None \(0\) \(-2\) \(-2\) \(0\) \(-\) \(q-q^{3}-q^{5}+\beta q^{7}+q^{9}-\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
2280.2.a.m \(2\) \(18.206\) \(\Q(\sqrt{5}) \) None None \(0\) \(-2\) \(-2\) \(2\) \(+\) \(q-q^{3}-q^{5}+(1+\beta )q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
2280.2.a.n \(2\) \(18.206\) \(\Q(\sqrt{7}) \) None None \(0\) \(-2\) \(2\) \(-2\) \(-\) \(q-q^{3}+q^{5}+(-1+\beta )q^{7}+q^{9}+(-3+\cdots)q^{11}+\cdots\)
2280.2.a.o \(2\) \(18.206\) \(\Q(\sqrt{2}) \) None None \(0\) \(2\) \(-2\) \(-4\) \(+\) \(q+q^{3}-q^{5}+(-2+\beta )q^{7}+q^{9}+\beta q^{11}+\cdots\)
2280.2.a.p \(2\) \(18.206\) \(\Q(\sqrt{5}) \) None None \(0\) \(2\) \(-2\) \(6\) \(-\) \(q+q^{3}-q^{5}+(3+\beta )q^{7}+q^{9}+(1-\beta )q^{11}+\cdots\)
2280.2.a.q \(2\) \(18.206\) \(\Q(\sqrt{3}) \) None None \(0\) \(2\) \(2\) \(-6\) \(+\) \(q+q^{3}+q^{5}+(-3+\beta )q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
2280.2.a.r \(3\) \(18.206\) 3.3.568.1 None None \(0\) \(-3\) \(-3\) \(-2\) \(-\) \(q-q^{3}-q^{5}+(-1-\beta _{2})q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
2280.2.a.s \(3\) \(18.206\) 3.3.316.1 None None \(0\) \(-3\) \(3\) \(-2\) \(+\) \(q-q^{3}+q^{5}+(-1+\beta _{1})q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
2280.2.a.t \(3\) \(18.206\) 3.3.1016.1 None None \(0\) \(3\) \(-3\) \(0\) \(-\) \(q+q^{3}-q^{5}+\beta _{2}q^{7}+q^{9}+(1-\beta _{1}+\cdots)q^{11}+\cdots\)
2280.2.a.u \(3\) \(18.206\) 3.3.1772.1 None None \(0\) \(3\) \(3\) \(0\) \(-\) \(q+q^{3}+q^{5}+\beta _{2}q^{7}+q^{9}+(2+\beta _{2})q^{11}+\cdots\)
2280.2.j.a \(2\) \(18.206\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-4\) \(0\) \(q+iq^{3}+(-2+i)q^{5}+4iq^{7}-q^{9}+\cdots\)
2280.2.j.b \(2\) \(18.206\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) \(q+iq^{3}+(-1+2i)q^{5}+2iq^{7}-q^{9}+\cdots\)
2280.2.j.c \(2\) \(18.206\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) \(q-iq^{3}+(-1-2i)q^{5}+2iq^{7}-q^{9}+\cdots\)
2280.2.j.d \(2\) \(18.206\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) \(q-iq^{3}+(-1-2i)q^{5}+2iq^{7}-q^{9}+\cdots\)
2280.2.j.e \(2\) \(18.206\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) \(q+iq^{3}+(-1-2i)q^{5}+4iq^{7}-q^{9}+\cdots\)
2280.2.j.f \(6\) \(18.206\) 6.0.350464.1 None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{3}q^{3}+(\beta _{1}-\beta _{4})q^{5}+(-\beta _{3}+\beta _{4}+\cdots)q^{7}+\cdots\)
2280.2.j.g \(10\) \(18.206\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(0\) \(0\) \(6\) \(0\) \(q-\beta _{6}q^{3}+(1-\beta _{2}-\beta _{4})q^{5}+(\beta _{6}+\beta _{9})q^{7}+\cdots\)
2280.2.j.h \(12\) \(18.206\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{5}q^{3}+\beta _{10}q^{5}+\beta _{2}q^{7}-q^{9}-\beta _{8}q^{11}+\cdots\)
2280.2.j.i \(18\) \(18.206\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(0\) \(0\) \(-2\) \(0\) \(q-\beta _{9}q^{3}+\beta _{2}q^{5}-\beta _{5}q^{7}-q^{9}-\beta _{3}q^{11}+\cdots\)
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