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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
9036.2.a.a \(1\) \(72.153\) \(\Q\) None \(0\) \(0\) \(-3\) \(-3\) \(-\) \(q-3q^{5}-3q^{7}-6q^{13}+7q^{17}-6q^{19}+\cdots\)
9036.2.a.b \(1\) \(72.153\) \(\Q\) None \(0\) \(0\) \(-2\) \(2\) \(+\) \(q-2q^{5}+2q^{7}+2q^{11}-q^{13}-5q^{19}+\cdots\)
9036.2.a.c \(1\) \(72.153\) \(\Q\) None \(0\) \(0\) \(0\) \(-4\) \(+\) \(q-4q^{7}-q^{13}-6q^{17}+5q^{19}+9q^{23}+\cdots\)
9036.2.a.d \(1\) \(72.153\) \(\Q\) None \(0\) \(0\) \(0\) \(-4\) \(-\) \(q-4q^{7}-q^{13}+6q^{17}+5q^{19}-9q^{23}+\cdots\)
9036.2.a.e \(1\) \(72.153\) \(\Q\) None \(0\) \(0\) \(1\) \(5\) \(-\) \(q+q^{5}+5q^{7}+6q^{11}-2q^{13}+3q^{17}+\cdots\)
9036.2.a.f \(1\) \(72.153\) \(\Q\) None \(0\) \(0\) \(2\) \(2\) \(+\) \(q+2q^{5}+2q^{7}-6q^{11}+7q^{13}-8q^{17}+\cdots\)
9036.2.a.g \(1\) \(72.153\) \(\Q\) None \(0\) \(0\) \(3\) \(1\) \(-\) \(q+3q^{5}+q^{7}+2q^{11}+2q^{13}+5q^{17}+\cdots\)
9036.2.a.h \(6\) \(72.153\) 6.6.4443861.1 None \(0\) \(0\) \(4\) \(-3\) \(-\) \(q+(\beta _{1}+\beta _{2}-\beta _{3})q^{5}+(-1+\beta _{1}-\beta _{3}+\cdots)q^{7}+\cdots\)
9036.2.a.i \(7\) \(72.153\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(0\) \(2\) \(-6\) \(+\) \(q-\beta _{5}q^{5}+(-1-\beta _{6})q^{7}+(1-\beta _{1}+\beta _{3}+\cdots)q^{11}+\cdots\)
9036.2.a.j \(9\) \(72.153\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(0\) \(3\) \(0\) \(+\) \(q-\beta _{5}q^{5}-\beta _{7}q^{7}+(-1-\beta _{1}-\beta _{4}+\cdots)q^{11}+\cdots\)
9036.2.a.k \(10\) \(72.153\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(0\) \(-5\) \(-4\) \(+\) \(q+(-1+\beta _{1})q^{5}+\beta _{3}q^{7}+\beta _{2}q^{11}+\cdots\)
9036.2.a.l \(12\) \(72.153\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(0\) \(-7\) \(0\) \(-\) \(q+(-1+\beta _{1})q^{5}+\beta _{6}q^{7}+(1+\beta _{4}-\beta _{6}+\cdots)q^{11}+\cdots\)
9036.2.a.m \(14\) \(72.153\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(0\) \(0\) \(2\) \(8\) \(-\) \(q-\beta _{4}q^{5}+(1-\beta _{9})q^{7}+(-1+\beta _{8})q^{11}+\cdots\)
9036.2.a.n \(19\) \(72.153\) \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None \(0\) \(0\) \(0\) \(4\) \(+\) \(q-\beta _{1}q^{5}+\beta _{10}q^{7}+(-1+\beta _{4})q^{11}+\cdots\)
9036.2.a.o \(19\) \(72.153\) \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None \(0\) \(0\) \(0\) \(4\) \(-\) \(q+\beta _{1}q^{5}+\beta _{10}q^{7}+(1-\beta _{4})q^{11}+\beta _{8}q^{13}+\cdots\)
9036.2.e.a \(84\) \(72.153\) None \(0\) \(0\) \(0\) \(-8\)
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