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Results (13 matches)

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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 41
6724.2.a.a \(3\) \(53.691\) 3.3.785.1 None \(0\) \(-2\) \(-2\) \(7\) \(-\) \(-\) \(q+(-1+\beta _{1})q^{3}+(-1+\beta _{1})q^{5}+(2+\cdots)q^{7}+\cdots\)
6724.2.a.b \(3\) \(53.691\) 3.3.785.1 None \(0\) \(2\) \(-2\) \(-7\) \(-\) \(+\) \(q+(1-\beta _{1})q^{3}+(-1+\beta _{1})q^{5}+(-2+\cdots)q^{7}+\cdots\)
6724.2.a.c \(4\) \(53.691\) 4.4.25808.1 None \(0\) \(-2\) \(4\) \(0\) \(-\) \(+\) \(q+(\beta _{1}-\beta _{2})q^{3}+(2-\beta _{2}+\beta _{3})q^{5}+(1+\cdots)q^{7}+\cdots\)
6724.2.a.d \(4\) \(53.691\) 4.4.25088.1 None \(0\) \(0\) \(4\) \(0\) \(-\) \(+\) \(q+\beta _{1}q^{3}+(1+\beta _{2})q^{5}+\beta _{3}q^{7}+\beta _{2}q^{9}+\cdots\)
6724.2.a.e \(6\) \(53.691\) 6.6.40716288.1 None \(0\) \(0\) \(-4\) \(0\) \(-\) \(-\) \(q+\beta _{1}q^{3}+(-1+\beta _{2})q^{5}+(\beta _{1}-\beta _{3}+\cdots)q^{7}+\cdots\)
6724.2.a.f \(8\) \(53.691\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(-1\) \(3\) \(0\) \(-\) \(+\) \(q-\beta _{1}q^{3}-\beta _{6}q^{5}+(\beta _{2}+\beta _{5}+\beta _{6}+\beta _{7})q^{7}+\cdots\)
6724.2.a.g \(8\) \(53.691\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(1\) \(3\) \(0\) \(-\) \(+\) \(q+\beta _{1}q^{3}-\beta _{6}q^{5}+(-\beta _{2}-\beta _{5}-\beta _{6}+\cdots)q^{7}+\cdots\)
6724.2.a.h \(12\) \(53.691\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(-1\) \(-2\) \(0\) \(-\) \(-\) \(q-\beta _{1}q^{3}-\beta _{3}q^{5}+(\beta _{4}+\beta _{10})q^{7}+(1+\cdots)q^{9}+\cdots\)
6724.2.a.i \(12\) \(53.691\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(1\) \(-2\) \(0\) \(-\) \(+\) \(q+\beta _{1}q^{3}-\beta _{3}q^{5}+(-\beta _{4}-\beta _{10})q^{7}+\cdots\)
6724.2.a.j \(16\) \(53.691\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(6\) \(0\) \(-\) \(+\) \(q+\beta _{1}q^{3}-\beta _{4}q^{5}+(\beta _{1}-\beta _{11})q^{7}+(2+\cdots)q^{9}+\cdots\)
6724.2.a.k \(18\) \(53.691\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(0\) \(-5\) \(2\) \(-7\) \(-\) \(-\) \(q-\beta _{1}q^{3}+(1+\beta _{4}+\beta _{7}+\beta _{12}-\beta _{17})q^{5}+\cdots\)
6724.2.a.l \(18\) \(53.691\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(0\) \(5\) \(2\) \(7\) \(-\) \(+\) \(q+\beta _{1}q^{3}+(1+\beta _{4}+\beta _{7}+\beta _{12}-\beta _{17})q^{5}+\cdots\)
6724.2.a.m \(24\) \(53.691\) None \(0\) \(0\) \(-16\) \(0\) \(-\) \(-\)
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