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Results (displaying all 27 matches)

Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
4014.2.a.a \(1\) \(32.052\) \(\Q\) None \(-1\) \(0\) \(-3\) \(0\) \(+\) \(q-q^{2}+q^{4}-3q^{5}-q^{8}+3q^{10}+2q^{11}+\cdots\)
4014.2.a.b \(1\) \(32.052\) \(\Q\) None \(-1\) \(0\) \(-1\) \(-4\) \(-\) \(q-q^{2}+q^{4}-q^{5}-4q^{7}-q^{8}+q^{10}+\cdots\)
4014.2.a.c \(1\) \(32.052\) \(\Q\) None \(-1\) \(0\) \(0\) \(0\) \(-\) \(q-q^{2}+q^{4}-q^{8}+2q^{11}+4q^{13}+\cdots\)
4014.2.a.d \(1\) \(32.052\) \(\Q\) None \(-1\) \(0\) \(2\) \(-2\) \(+\) \(q-q^{2}+q^{4}+2q^{5}-2q^{7}-q^{8}-2q^{10}+\cdots\)
4014.2.a.e \(1\) \(32.052\) \(\Q\) None \(1\) \(0\) \(0\) \(0\) \(+\) \(q+q^{2}+q^{4}+q^{8}-q^{11}-2q^{13}+q^{16}+\cdots\)
4014.2.a.f \(1\) \(32.052\) \(\Q\) None \(1\) \(0\) \(1\) \(-4\) \(+\) \(q+q^{2}+q^{4}+q^{5}-4q^{7}+q^{8}+q^{10}+\cdots\)
4014.2.a.g \(1\) \(32.052\) \(\Q\) None \(1\) \(0\) \(3\) \(0\) \(-\) \(q+q^{2}+q^{4}+3q^{5}+q^{8}+3q^{10}-2q^{11}+\cdots\)
4014.2.a.h \(1\) \(32.052\) \(\Q\) None \(1\) \(0\) \(3\) \(0\) \(-\) \(q+q^{2}+q^{4}+3q^{5}+q^{8}+3q^{10}+4q^{13}+\cdots\)
4014.2.a.i \(1\) \(32.052\) \(\Q\) None \(1\) \(0\) \(4\) \(-4\) \(-\) \(q+q^{2}+q^{4}+4q^{5}-4q^{7}+q^{8}+4q^{10}+\cdots\)
4014.2.a.j \(2\) \(32.052\) \(\Q(\sqrt{13}) \) None \(-2\) \(0\) \(0\) \(-2\) \(+\) \(q-q^{2}+q^{4}-2\beta q^{7}-q^{8}+(-5+\beta )q^{11}+\cdots\)
4014.2.a.k \(2\) \(32.052\) \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(-2\) \(0\) \(-\) \(q+q^{2}+q^{4}-2\beta q^{5}+q^{8}-2\beta q^{10}+\cdots\)
4014.2.a.l \(2\) \(32.052\) \(\Q(\sqrt{13}) \) None \(2\) \(0\) \(0\) \(-2\) \(-\) \(q+q^{2}+q^{4}-2\beta q^{7}+q^{8}+(5-\beta )q^{11}+\cdots\)
4014.2.a.m \(3\) \(32.052\) \(\Q(\zeta_{18})^+\) None \(-3\) \(0\) \(3\) \(-3\) \(+\) \(q-q^{2}+q^{4}+(1+\beta _{1})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
4014.2.a.n \(3\) \(32.052\) \(\Q(\zeta_{14})^+\) None \(-3\) \(0\) \(7\) \(-9\) \(-\) \(q-q^{2}+q^{4}+(2+\beta _{1})q^{5}+(-3+\beta _{1}+\cdots)q^{7}+\cdots\)
4014.2.a.o \(3\) \(32.052\) 3.3.257.1 None \(3\) \(0\) \(1\) \(1\) \(-\) \(q+q^{2}+q^{4}+\beta _{1}q^{5}+(\beta _{1}+\beta _{2})q^{7}+\cdots\)
4014.2.a.p \(3\) \(32.052\) 3.3.473.1 None \(3\) \(0\) \(1\) \(9\) \(-\) \(q+q^{2}+q^{4}+\beta _{2}q^{5}+(3-\beta _{1})q^{7}+q^{8}+\cdots\)
4014.2.a.q \(4\) \(32.052\) 4.4.10273.1 None \(4\) \(0\) \(-2\) \(-5\) \(+\) \(q+q^{2}+q^{4}+(-1+\beta _{1})q^{5}+(-1-\beta _{3})q^{7}+\cdots\)
4014.2.a.r \(5\) \(32.052\) 5.5.356173.1 None \(5\) \(0\) \(-5\) \(-1\) \(+\) \(q+q^{2}+q^{4}+(-1+\beta _{1}-\beta _{2})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
4014.2.a.s \(6\) \(32.052\) 6.6.232773917.1 None \(-6\) \(0\) \(-6\) \(5\) \(+\) \(q-q^{2}+q^{4}+(-1+\beta _{1})q^{5}+(1+\beta _{2}+\cdots)q^{7}+\cdots\)
4014.2.a.t \(6\) \(32.052\) 6.6.103354048.1 None \(-6\) \(0\) \(-2\) \(8\) \(+\) \(q-q^{2}+q^{4}+(\beta _{4}-\beta _{5})q^{5}+(1-\beta _{4}+\cdots)q^{7}+\cdots\)
4014.2.a.u \(6\) \(32.052\) 6.6.103354048.1 None \(6\) \(0\) \(2\) \(8\) \(-\) \(q+q^{2}+q^{4}+(-\beta _{4}+\beta _{5})q^{5}+(1-\beta _{4}+\cdots)q^{7}+\cdots\)
4014.2.a.v \(7\) \(32.052\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-7\) \(0\) \(-6\) \(3\) \(-\) \(q-q^{2}+q^{4}+(-1-\beta _{4})q^{5}-\beta _{3}q^{7}+\cdots\)
4014.2.a.w \(7\) \(32.052\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-7\) \(0\) \(-2\) \(6\) \(-\) \(q-q^{2}+q^{4}+\beta _{3}q^{5}+(1-\beta _{2}+\beta _{6})q^{7}+\cdots\)
4014.2.a.x \(8\) \(32.052\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-8\) \(0\) \(6\) \(-6\) \(-\) \(q-q^{2}+q^{4}+(1+\beta _{5}-\beta _{6})q^{5}+(-1+\cdots)q^{7}+\cdots\)
4014.2.a.y \(8\) \(32.052\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(8\) \(0\) \(-6\) \(-6\) \(+\) \(q+q^{2}+q^{4}+(-1-\beta _{5}+\beta _{6})q^{5}+(-1+\cdots)q^{7}+\cdots\)
4014.2.a.z \(8\) \(32.052\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(8\) \(0\) \(-4\) \(4\) \(-\) \(q+q^{2}+q^{4}+(-1-\beta _{3})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
4014.2.d.a \(72\) \(32.052\) None \(0\) \(0\) \(0\) \(16\)


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