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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1470.2.a.a \(1\) \(11.738\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(0\) \(+\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots\)
1470.2.a.b \(1\) \(11.738\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(0\) \(-\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots\)
1470.2.a.c \(1\) \(11.738\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(0\) \(-\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots\)
1470.2.a.d \(1\) \(11.738\) \(\Q\) None \(-1\) \(-1\) \(1\) \(0\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots\)
1470.2.a.e \(1\) \(11.738\) \(\Q\) None \(-1\) \(-1\) \(1\) \(0\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots\)
1470.2.a.f \(1\) \(11.738\) \(\Q\) None \(-1\) \(1\) \(-1\) \(0\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots\)
1470.2.a.g \(1\) \(11.738\) \(\Q\) None \(-1\) \(1\) \(1\) \(0\) \(-\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots\)
1470.2.a.h \(1\) \(11.738\) \(\Q\) None \(-1\) \(1\) \(1\) \(0\) \(-\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots\)
1470.2.a.i \(1\) \(11.738\) \(\Q\) None \(-1\) \(1\) \(1\) \(0\) \(-\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots\)
1470.2.a.j \(1\) \(11.738\) \(\Q\) None \(1\) \(-1\) \(-1\) \(0\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
1470.2.a.k \(1\) \(11.738\) \(\Q\) None \(1\) \(-1\) \(-1\) \(0\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
1470.2.a.l \(1\) \(11.738\) \(\Q\) None \(1\) \(-1\) \(1\) \(0\) \(+\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
1470.2.a.m \(1\) \(11.738\) \(\Q\) None \(1\) \(-1\) \(1\) \(0\) \(-\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
1470.2.a.n \(1\) \(11.738\) \(\Q\) None \(1\) \(-1\) \(1\) \(0\) \(-\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
1470.2.a.o \(1\) \(11.738\) \(\Q\) None \(1\) \(1\) \(-1\) \(0\) \(-\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots\)
1470.2.a.p \(1\) \(11.738\) \(\Q\) None \(1\) \(1\) \(-1\) \(0\) \(-\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots\)
1470.2.a.q \(1\) \(11.738\) \(\Q\) None \(1\) \(1\) \(-1\) \(0\) \(-\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots\)
1470.2.a.r \(1\) \(11.738\) \(\Q\) None \(1\) \(1\) \(1\) \(0\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots\)
1470.2.a.s \(2\) \(11.738\) \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(2\) \(0\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots\)
1470.2.a.t \(2\) \(11.738\) \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(-2\) \(0\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots\)
1470.2.a.u \(2\) \(11.738\) \(\Q(\sqrt{2}) \) None \(2\) \(-2\) \(-2\) \(0\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
1470.2.a.v \(2\) \(11.738\) \(\Q(\sqrt{2}) \) None \(2\) \(2\) \(2\) \(0\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots\)
1470.2.b.a \(12\) \(11.738\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(-4\) \(12\) \(0\) \(q+\beta _{4}q^{2}-\beta _{1}q^{3}-q^{4}+q^{5}-\beta _{9}q^{6}+\cdots\)
1470.2.b.b \(12\) \(11.738\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(4\) \(-12\) \(0\) \(q+\beta _{4}q^{2}+\beta _{1}q^{3}-q^{4}-q^{5}+\beta _{9}q^{6}+\cdots\)
1470.2.b.c \(16\) \(11.738\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(-8\) \(-16\) \(0\) \(q-\beta _{9}q^{2}-\beta _{11}q^{3}-q^{4}-q^{5}+(-\beta _{5}+\cdots)q^{6}+\cdots\)
1470.2.b.d \(16\) \(11.738\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(8\) \(16\) \(0\) \(q-\beta _{9}q^{2}+\beta _{11}q^{3}-q^{4}+q^{5}+(\beta _{5}+\cdots)q^{6}+\cdots\)
1470.2.d.a \(4\) \(11.738\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None \(-4\) \(-1\) \(3\) \(0\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}+(1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
1470.2.d.b \(4\) \(11.738\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None \(-4\) \(1\) \(-3\) \(0\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}+(-1-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
1470.2.d.c \(4\) \(11.738\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None \(4\) \(-1\) \(-3\) \(0\) \(q+q^{2}-\beta _{1}q^{3}+q^{4}+(-2\beta _{2}-\beta _{3})q^{5}+\cdots\)
1470.2.d.d \(4\) \(11.738\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None \(4\) \(1\) \(3\) \(0\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(2\beta _{2}+\beta _{3})q^{5}+\cdots\)
1470.2.d.e \(8\) \(11.738\) 8.0.3317760000.3 None \(-8\) \(0\) \(0\) \(0\) \(q-q^{2}+(\beta _{2}+\beta _{5})q^{3}+q^{4}+(\beta _{2}-\beta _{6}+\cdots)q^{5}+\cdots\)
1470.2.d.f \(8\) \(11.738\) 8.0.3317760000.3 None \(8\) \(0\) \(0\) \(0\) \(q+q^{2}+(\beta _{2}+\beta _{5})q^{3}+q^{4}+(-\beta _{2}-\beta _{6}+\cdots)q^{5}+\cdots\)
1470.2.d.g \(24\) \(11.738\) None \(-24\) \(0\) \(0\) \(0\)
1470.2.d.h \(24\) \(11.738\) None \(24\) \(0\) \(0\) \(0\)
1470.2.g.a \(2\) \(11.738\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) \(q-iq^{2}+iq^{3}-q^{4}+(-2-i)q^{5}+\cdots\)
1470.2.g.b \(2\) \(11.738\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) \(q-iq^{2}-iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots\)
1470.2.g.c \(2\) \(11.738\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) \(q+iq^{2}+iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots\)
1470.2.g.d \(2\) \(11.738\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(q-iq^{2}+iq^{3}-q^{4}+(1-2i)q^{5}+q^{6}+\cdots\)
1470.2.g.e \(2\) \(11.738\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(q+iq^{2}-iq^{3}-q^{4}+(1-2i)q^{5}+q^{6}+\cdots\)
1470.2.g.f \(2\) \(11.738\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) \(q-iq^{2}-iq^{3}-q^{4}+(2+i)q^{5}-q^{6}+\cdots\)
1470.2.g.g \(2\) \(11.738\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) \(q+iq^{2}+iq^{3}-q^{4}+(2-i)q^{5}-q^{6}+\cdots\)
1470.2.g.h \(6\) \(11.738\) 6.0.29160000.2 None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{3}q^{2}-\beta _{3}q^{3}-q^{4}-\beta _{2}q^{5}-q^{6}+\cdots\)
1470.2.g.i \(6\) \(11.738\) 6.0.29160000.2 None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{3}q^{2}+\beta _{3}q^{3}-q^{4}+\beta _{2}q^{5}+q^{6}+\cdots\)
1470.2.g.j \(8\) \(11.738\) 8.0.1698758656.6 None \(0\) \(0\) \(-4\) \(0\) \(q-\beta _{5}q^{2}-\beta _{5}q^{3}-q^{4}+(-1+\beta _{7})q^{5}+\cdots\)
1470.2.g.k \(8\) \(11.738\) 8.0.1698758656.6 None \(0\) \(0\) \(4\) \(0\) \(q-\beta _{5}q^{2}+\beta _{5}q^{3}-q^{4}+(1-\beta _{7})q^{5}+\cdots\)
1470.2.i.a \(2\) \(11.738\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(-1\) \(0\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
1470.2.i.b \(2\) \(11.738\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(1\) \(0\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
1470.2.i.c \(2\) \(11.738\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(1\) \(0\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
1470.2.i.d \(2\) \(11.738\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(1\) \(0\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
1470.2.i.e \(2\) \(11.738\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(1\) \(0\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
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