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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
588.4.a.d \(1\) \(34.693\) \(\Q\) None \(0\) \(3\) \(-6\) \(0\) \(-\) \(-\) \(-\) \(q+3q^{3}-6q^{5}+9q^{9}+6^{2}q^{11}-62q^{13}+\cdots\)
588.4.a.e \(1\) \(34.693\) \(\Q\) None \(0\) \(3\) \(-4\) \(0\) \(-\) \(-\) \(-\) \(q+3q^{3}-4q^{5}+9q^{9}-20q^{11}+4q^{13}+\cdots\)
588.4.a.g \(2\) \(34.693\) \(\Q(\sqrt{57}) \) None \(0\) \(-6\) \(-3\) \(0\) \(-\) \(+\) \(+\) \(q-3q^{3}+(-2-\beta )q^{5}+9q^{9}+(-26+\cdots)q^{11}+\cdots\)
588.4.a.h \(2\) \(34.693\) \(\Q(\sqrt{57}) \) None \(0\) \(6\) \(3\) \(0\) \(-\) \(-\) \(-\) \(q+3q^{3}+(2+\beta )q^{5}+9q^{9}+(-26-\beta )q^{11}+\cdots\)
588.4.a.j \(4\) \(34.693\) 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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