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Results (displaying all 23 matches)

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 3 23 29
6003.2.a.a \(1\) \(47.934\) \(\Q\) None \(0\) \(0\) \(-4\) \(-4\) \(-\) \(+\) \(-\) \(q-2q^{4}-4q^{5}-4q^{7}-4q^{11}-5q^{13}+\cdots\)
6003.2.a.b \(1\) \(47.934\) \(\Q\) None \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q-2q^{4}+4q^{11}+3q^{13}+4q^{16}-3q^{17}+\cdots\)
6003.2.a.c \(1\) \(47.934\) \(\Q\) None \(1\) \(0\) \(-3\) \(0\) \(-\) \(-\) \(+\) \(q+q^{2}-q^{4}-3q^{5}-3q^{8}-3q^{10}+\cdots\)
6003.2.a.d \(2\) \(47.934\) \(\Q(\sqrt{17}) \) None \(-2\) \(0\) \(3\) \(0\) \(-\) \(+\) \(-\) \(q-q^{2}-q^{4}+(1+\beta )q^{5}+3q^{8}+(-1+\cdots)q^{10}+\cdots\)
6003.2.a.e \(2\) \(47.934\) \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(0\) \(-4\) \(-\) \(-\) \(+\) \(q-2q^{4}+\beta q^{5}+(-2+\beta )q^{7}+q^{13}+\cdots\)
6003.2.a.f \(2\) \(47.934\) \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(4\) \(0\) \(-\) \(-\) \(+\) \(q+q^{2}-q^{4}+2q^{5}-3q^{8}+2q^{10}+\cdots\)
6003.2.a.g \(4\) \(47.934\) 4.4.5744.1 None \(0\) \(0\) \(2\) \(-2\) \(-\) \(+\) \(+\) \(q-2q^{4}+\beta _{1}q^{5}+(-1-\beta _{2}+\beta _{3})q^{7}+\cdots\)
6003.2.a.h \(5\) \(47.934\) 5.5.312617.1 None \(2\) \(0\) \(3\) \(-5\) \(-\) \(+\) \(+\) \(q+\beta _{3}q^{2}+(2-\beta _{1})q^{4}+(1-\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
6003.2.a.i \(7\) \(47.934\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(1\) \(0\) \(5\) \(-5\) \(-\) \(-\) \(+\) \(q+\beta _{3}q^{2}+(1+\beta _{4}+\beta _{5})q^{4}+(1-\beta _{3}+\cdots)q^{5}+\cdots\)
6003.2.a.j \(7\) \(47.934\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(3\) \(0\) \(3\) \(-5\) \(-\) \(+\) \(-\) \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+\beta _{4}q^{5}+(-1+\cdots)q^{7}+\cdots\)
6003.2.a.k \(10\) \(47.934\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-3\) \(0\) \(-6\) \(3\) \(-\) \(-\) \(+\) \(q-\beta _{3}q^{2}+(2+\beta _{6})q^{4}+(-1-\beta _{4})q^{5}+\cdots\)
6003.2.a.l \(10\) \(47.934\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(3\) \(0\) \(10\) \(1\) \(-\) \(+\) \(+\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1+\beta _{7})q^{5}+\cdots\)
6003.2.a.m \(11\) \(47.934\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(-2\) \(0\) \(-2\) \(3\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{4}q^{5}-\beta _{6}q^{7}+\cdots\)
6003.2.a.n \(12\) \(47.934\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(3\) \(0\) \(16\) \(-7\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+(1-\beta _{4}-\beta _{6}+\beta _{8})q^{4}+(1+\cdots)q^{5}+\cdots\)
6003.2.a.o \(13\) \(47.934\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-4\) \(0\) \(-16\) \(1\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{8})q^{5}+\cdots\)
6003.2.a.p \(14\) \(47.934\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(2\) \(0\) \(3\) \(-3\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{11}q^{5}+(\beta _{3}+\cdots)q^{7}+\cdots\)
6003.2.a.q \(16\) \(47.934\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-3\) \(0\) \(-16\) \(1\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{3})q^{5}+\cdots\)
6003.2.a.r \(16\) \(47.934\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(1\) \(0\) \(-3\) \(13\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{8}q^{5}+(1-\beta _{10}+\cdots)q^{7}+\cdots\)
6003.2.a.s \(20\) \(47.934\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(-2\) \(0\) \(1\) \(9\) \(-\) \(+\) \(+\) \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}-\beta _{6}q^{5}-\beta _{14}q^{7}+\cdots\)
6003.2.a.t \(22\) \(47.934\) None \(-3\) \(0\) \(0\) \(-6\) \(+\) \(-\) \(-\)
6003.2.a.u \(22\) \(47.934\) None \(3\) \(0\) \(0\) \(-6\) \(+\) \(+\) \(+\)
6003.2.a.v \(30\) \(47.934\) None \(-1\) \(0\) \(0\) \(10\) \(+\) \(-\) \(+\)
6003.2.a.w \(30\) \(47.934\) None \(1\) \(0\) \(0\) \(10\) \(+\) \(+\) \(-\)


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