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Results (displaying all 18 matches)

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 3 7 41
6027.2.a.c \(1\) \(48.126\) \(\Q\) None \(-1\) \(-1\) \(3\) \(0\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}-q^{4}+3q^{5}+q^{6}+3q^{8}+\cdots\)
6027.2.a.g \(1\) \(48.126\) \(\Q\) None \(2\) \(-1\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q+2q^{2}-q^{3}+2q^{4}-2q^{6}+q^{9}+4q^{11}+\cdots\)
6027.2.a.i \(2\) \(48.126\) \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(2\) \(0\) \(+\) \(-\) \(-\) \(q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}+q^{5}+\cdots\)
6027.2.a.m \(2\) \(48.126\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-4\) \(0\) \(+\) \(-\) \(-\) \(q+\beta q^{2}-q^{3}+(-2+\beta )q^{5}-\beta q^{6}+\cdots\)
6027.2.a.o \(3\) \(48.126\) 3.3.148.1 None \(-1\) \(3\) \(-1\) \(0\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
6027.2.a.p \(3\) \(48.126\) 3.3.1620.1 None \(0\) \(-3\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q-q^{3}-2q^{4}-\beta _{1}q^{5}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
6027.2.a.r \(3\) \(48.126\) 3.3.785.1 None \(1\) \(-3\) \(-3\) \(0\) \(+\) \(+\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
6027.2.a.s \(3\) \(48.126\) 3.3.316.1 None \(1\) \(3\) \(-4\) \(0\) \(-\) \(-\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{1}+\cdots)q^{5}+\cdots\)
6027.2.a.v \(5\) \(48.126\) 5.5.981328.1 None \(-3\) \(5\) \(-1\) \(0\) \(-\) \(-\) \(+\) \(q+(-1+\beta _{1})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
6027.2.a.w \(5\) \(48.126\) 5.5.626512.1 None \(3\) \(-5\) \(-3\) \(0\) \(+\) \(-\) \(-\) \(q+(1-\beta _{1})q^{2}-q^{3}+(2-\beta _{1}-\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots\)
6027.2.a.z \(8\) \(48.126\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-2\) \(-8\) \(2\) \(0\) \(+\) \(-\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{5}q^{5}+\cdots\)
6027.2.a.ba \(8\) \(48.126\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-2\) \(8\) \(-2\) \(0\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{5}q^{5}+\cdots\)
6027.2.a.bb \(8\) \(48.126\) 8.8.7457527933.1 None \(1\) \(-8\) \(-7\) \(0\) \(+\) \(+\) \(+\) \(q+(1-\beta _{1}-\beta _{2})q^{2}-q^{3}+(2+\beta _{6})q^{4}+\cdots\)
6027.2.a.bf \(12\) \(48.126\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-2\) \(-12\) \(-12\) \(0\) \(+\) \(-\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{4}+\cdots)q^{5}+\cdots\)
6027.2.a.bi \(13\) \(48.126\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-4\) \(13\) \(-8\) \(0\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{8}+\cdots)q^{5}+\cdots\)
6027.2.a.bk \(14\) \(48.126\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-2\) \(14\) \(-10\) \(0\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{3}+\cdots)q^{5}+\cdots\)
6027.2.a.bl \(16\) \(48.126\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-4\) \(-16\) \(12\) \(0\) \(+\) \(+\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{5}+\cdots)q^{5}+\cdots\)
6027.2.a.bm \(16\) \(48.126\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-4\) \(16\) \(-12\) \(0\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{5}+\cdots)q^{5}+\cdots\)


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