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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 3 7
2352.4.a.f \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(-6\) \(0\) \(-\) \(+\) \(+\) \(q-3q^{3}-6q^{5}+9q^{9}+30q^{11}+53q^{13}+\cdots\)
2352.4.a.i \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(-3\) \(0\) \(-\) \(+\) \(+\) \(q-3q^{3}-3q^{5}+9q^{9}+15q^{11}-2^{6}q^{13}+\cdots\)
2352.4.a.bl \(2\) \(138.772\) \(\Q(\sqrt{2}) \) None \(0\) \(-6\) \(-20\) \(0\) \(-\) \(+\) \(+\) \(q-3q^{3}+(-10+7\beta )q^{5}+9q^{9}+(10+\cdots)q^{11}+\cdots\)
2352.4.a.bn \(2\) \(138.772\) \(\Q(\sqrt{2}) \) None \(0\) \(-6\) \(-12\) \(0\) \(-\) \(+\) \(+\) \(q-3q^{3}+(-6+\beta )q^{5}+9q^{9}+(2+6\beta )q^{11}+\cdots\)
2352.4.a.bq \(2\) \(138.772\) \(\Q(\sqrt{1345}) \) None \(0\) \(-6\) \(5\) \(0\) \(-\) \(+\) \(+\) \(q-3q^{3}+(3-\beta )q^{5}+9q^{9}+(-33-\beta )q^{11}+\cdots\)
2352.4.a.bt \(2\) \(138.772\) \(\Q(\sqrt{193}) \) None \(0\) \(-6\) \(11\) \(0\) \(-\) \(+\) \(+\) \(q-3q^{3}+(6-\beta )q^{5}+9q^{9}+(6-7\beta )q^{11}+\cdots\)
2352.4.a.bu \(2\) \(138.772\) \(\Q(\sqrt{2}) \) None \(0\) \(-6\) \(12\) \(0\) \(-\) \(+\) \(+\) \(q-3q^{3}+(6+\beta )q^{5}+9q^{9}+(-2-6\beta )q^{11}+\cdots\)
2352.4.a.cl \(4\) \(138.772\) 4.4.136768.1 None \(0\) \(-12\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q-3q^{3}+\beta _{1}q^{5}+9q^{9}+(-3\beta _{1}+\beta _{3})q^{11}+\cdots\)
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