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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.u \(1\) \(138.772\) \(\Q\) None \(0\) \(3\) \(-15\) \(0\) \(-\) \(-\) \(+\) \(q+3q^{3}-15q^{5}+9q^{9}+9q^{11}-88q^{13}+\cdots\)
2352.4.a.bw \(2\) \(138.772\) \(\Q(\sqrt{2}) \) None \(0\) \(6\) \(-12\) \(0\) \(-\) \(-\) \(+\) \(q+3q^{3}+(-6+\beta )q^{5}+9q^{9}+(-2+\cdots)q^{11}+\cdots\)
2352.4.a.cb \(2\) \(138.772\) \(\Q(\sqrt{57}) \) None \(0\) \(6\) \(-3\) \(0\) \(-\) \(-\) \(+\) \(q+3q^{3}+(-2-\beta )q^{5}+9q^{9}+(26+\beta )q^{11}+\cdots\)
2352.4.a.cd \(2\) \(138.772\) \(\Q(\sqrt{2}) \) None \(0\) \(6\) \(12\) \(0\) \(-\) \(-\) \(+\) \(q+3q^{3}+(6+\beta )q^{5}+9q^{9}+(2-6\beta )q^{11}+\cdots\)
2352.4.a.cf \(2\) \(138.772\) \(\Q(\sqrt{2}) \) None \(0\) \(6\) \(20\) \(0\) \(-\) \(-\) \(+\) \(q+3q^{3}+(10+7\beta )q^{5}+9q^{9}+(10-24\beta )q^{11}+\cdots\)
2352.4.a.ci \(3\) \(138.772\) 3.3.57516.1 None \(0\) \(9\) \(11\) \(0\) \(-\) \(-\) \(+\) \(q+3q^{3}+(4+\beta _{2})q^{5}+9q^{9}+(-11+\cdots)q^{11}+\cdots\)
2352.4.a.cq \(4\) \(138.772\) 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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