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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
1344.4.a.l \(1\) \(79.299\) \(\Q\) None \(0\) \(-3\) \(16\) \(7\) \(+\) \(+\) \(-\) \(q-3q^{3}+2^{4}q^{5}+7q^{7}+9q^{9}+18q^{11}+\cdots\)
1344.4.a.bd \(2\) \(79.299\) \(\Q(\sqrt{177}) \) None \(0\) \(-6\) \(-14\) \(14\) \(+\) \(+\) \(-\) \(q-3q^{3}+(-7-\beta )q^{5}+7q^{7}+9q^{9}+\cdots\)
1344.4.a.be \(2\) \(79.299\) \(\Q(\sqrt{137}) \) None \(0\) \(-6\) \(-10\) \(14\) \(+\) \(+\) \(-\) \(q-3q^{3}+(-5-\beta )q^{5}+7q^{7}+9q^{9}+\cdots\)
1344.4.a.bg \(2\) \(79.299\) \(\Q(\sqrt{57}) \) None \(0\) \(-6\) \(-6\) \(14\) \(+\) \(+\) \(-\) \(q-3q^{3}+(-3-\beta )q^{5}+7q^{7}+9q^{9}+\cdots\)
1344.4.a.bj \(2\) \(79.299\) \(\Q(\sqrt{17}) \) None \(0\) \(-6\) \(10\) \(14\) \(+\) \(+\) \(-\) \(q-3q^{3}+(5-\beta )q^{5}+7q^{7}+9q^{9}+(11+\cdots)q^{11}+\cdots\)
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