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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.a \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(-18\) \(0\) \(-\) \(+\) \(-\) \(q-3q^{3}-18q^{5}+9q^{9}+72q^{11}+34q^{13}+\cdots\)
2352.4.a.b \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(-12\) \(0\) \(-\) \(+\) \(-\) \(q-3q^{3}-12q^{5}+9q^{9}-20q^{11}+84q^{13}+\cdots\)
2352.4.a.d \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(-6\) \(0\) \(-\) \(+\) \(-\) \(q-3q^{3}-6q^{5}+9q^{9}-6^{2}q^{11}-62q^{13}+\cdots\)
2352.4.a.e \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(-6\) \(0\) \(-\) \(+\) \(-\) \(q-3q^{3}-6q^{5}+9q^{9}-12q^{11}-38q^{13}+\cdots\)
2352.4.a.g \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(-4\) \(0\) \(-\) \(+\) \(-\) \(q-3q^{3}-4q^{5}+9q^{9}+20q^{11}+4q^{13}+\cdots\)
2352.4.a.l \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(4\) \(0\) \(-\) \(+\) \(-\) \(q-3q^{3}+4q^{5}+9q^{9}-62q^{11}+62q^{13}+\cdots\)
2352.4.a.m \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(8\) \(0\) \(-\) \(+\) \(-\) \(q-3q^{3}+8q^{5}+9q^{9}-40q^{11}+4q^{13}+\cdots\)
2352.4.a.q \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(15\) \(0\) \(-\) \(+\) \(-\) \(q-3q^{3}+15q^{5}+9q^{9}+9q^{11}+88q^{13}+\cdots\)
2352.4.a.r \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(18\) \(0\) \(-\) \(+\) \(-\) \(q-3q^{3}+18q^{5}+9q^{9}+6^{2}q^{11}+34q^{13}+\cdots\)
2352.4.a.s \(1\) \(138.772\) \(\Q\) None \(0\) \(-3\) \(18\) \(0\) \(-\) \(+\) \(-\) \(q-3q^{3}+18q^{5}+9q^{9}+50q^{11}-6^{2}q^{13}+\cdots\)
2352.4.a.bp \(2\) \(138.772\) \(\Q(\sqrt{57}) \) None \(0\) \(-6\) \(3\) \(0\) \(-\) \(+\) \(-\) \(q-3q^{3}+(2+\beta )q^{5}+9q^{9}+(26+\beta )q^{11}+\cdots\)
2352.4.a.cg \(3\) \(138.772\) 3.3.57516.1 None \(0\) \(-9\) \(-11\) \(0\) \(-\) \(+\) \(-\) \(q-3q^{3}+(-4-\beta _{2})q^{5}+9q^{9}+(-11+\cdots)q^{11}+\cdots\)
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