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Results (39 matches)

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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
3724.1.e.a \(1\) \(1.859\) \(\Q\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(-2\) \(0\) \(q-2q^{5}+q^{9}-q^{11}+q^{17}-q^{19}+\cdots\)
3724.1.e.b \(1\) \(1.859\) \(\Q\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(-1\) \(0\) \(q-q^{5}+q^{9}+2q^{11}-q^{17}+q^{19}+\cdots\)
3724.1.e.c \(1\) \(1.859\) \(\Q\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(1\) \(0\) \(q+q^{5}+q^{9}-q^{11}+q^{17}-q^{19}+2q^{23}+\cdots\)
3724.1.e.d \(1\) \(1.859\) \(\Q\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(1\) \(0\) \(q+q^{5}+q^{9}+2q^{11}+q^{17}-q^{19}+\cdots\)
3724.1.e.e \(1\) \(1.859\) \(\Q\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(2\) \(0\) \(q+2q^{5}+q^{9}-q^{11}-q^{17}+q^{19}+\cdots\)
3724.1.n.a \(4\) \(1.859\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{2}+\zeta_{12}^{3}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{4}q^{6}+\cdots\)
3724.1.bb.a \(4\) \(1.859\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{5}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{4}+\cdots\)
3724.1.bb.b \(4\) \(1.859\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{4}+\cdots\)
3724.1.bc.a \(2\) \(1.859\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(-1\) \(0\) \(q-\zeta_{6}q^{5}-\zeta_{6}q^{9}+\zeta_{6}^{2}q^{11}+\zeta_{6}^{2}q^{17}+\cdots\)
3724.1.bc.b \(2\) \(1.859\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(-1\) \(0\) \(q-\zeta_{6}q^{5}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{11}+\zeta_{6}^{2}q^{17}+\cdots\)
3724.1.bc.c \(2\) \(1.859\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(1\) \(0\) \(q+\zeta_{6}q^{5}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{11}-\zeta_{6}^{2}q^{17}+\cdots\)
3724.1.bc.d \(2\) \(1.859\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(2\) \(0\) \(q+\zeta_{6}q^{5}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{11}+\zeta_{6}^{2}q^{17}+\cdots\)
3724.1.bk.a \(4\) \(1.859\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{3}q^{2}+\zeta_{12}q^{3}-q^{4}+\zeta_{12}^{4}q^{6}+\cdots\)
3724.1.bv.a \(12\) \(1.859\) \(\Q(\zeta_{21})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(2\) \(1\) \(q+(-\zeta_{42}-\zeta_{42}^{5})q^{5}-\zeta_{42}^{17}q^{7}+\cdots\)
3724.1.dj.a \(12\) \(1.859\) \(\Q(\zeta_{21})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(-1\) \(-2\) \(q+(-\zeta_{42}-\zeta_{42}^{3})q^{5}-\zeta_{42}^{9}q^{7}-\zeta_{42}^{11}q^{9}+\cdots\)
3724.1.dj.b \(12\) \(1.859\) \(\Q(\zeta_{21})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(2\) \(1\) \(q+(\zeta_{42}^{8}-\zeta_{42}^{17})q^{5}+\zeta_{42}^{16}q^{7}+\cdots\)
3724.2.a.a \(1\) \(29.736\) \(\Q\) None None \(0\) \(-2\) \(1\) \(0\) \(-\) \(q-2q^{3}+q^{5}+q^{9}+5q^{11}+4q^{13}+\cdots\)
3724.2.a.b \(1\) \(29.736\) \(\Q\) None None \(0\) \(0\) \(2\) \(0\) \(+\) \(q+2q^{5}-3q^{9}+4q^{11}-4q^{13}-6q^{17}+\cdots\)
3724.2.a.c \(2\) \(29.736\) \(\Q(\sqrt{3}) \) None None \(0\) \(-2\) \(0\) \(0\) \(+\) \(q+(-1+\beta )q^{3}+(1-2\beta )q^{9}+(-3+2\beta )q^{11}+\cdots\)
3724.2.a.d \(2\) \(29.736\) \(\Q(\sqrt{5}) \) None None \(0\) \(-1\) \(4\) \(0\) \(+\) \(q-\beta q^{3}+(1+2\beta )q^{5}+(-2+\beta )q^{9}+\cdots\)
3724.2.a.e \(2\) \(29.736\) \(\Q(\sqrt{21}) \) None None \(0\) \(1\) \(-6\) \(0\) \(+\) \(q+\beta q^{3}-3q^{5}+(2+\beta )q^{9}+(-1-\beta )q^{11}+\cdots\)
3724.2.a.f \(2\) \(29.736\) \(\Q(\sqrt{3}) \) None None \(0\) \(2\) \(0\) \(0\) \(+\) \(q+(1+\beta )q^{3}+(1+2\beta )q^{9}+(-3-2\beta )q^{11}+\cdots\)
3724.2.a.g \(2\) \(29.736\) \(\Q(\sqrt{5}) \) None None \(0\) \(3\) \(2\) \(0\) \(-\) \(q+(1+\beta )q^{3}+q^{5}+(-1+3\beta )q^{9}+(-2+\cdots)q^{11}+\cdots\)
3724.2.a.h \(3\) \(29.736\) 3.3.404.1 None None \(0\) \(-2\) \(-3\) \(0\) \(+\) \(q+(-1+\beta _{1})q^{3}+(-1-\beta _{1}+\beta _{2})q^{5}+\cdots\)
3724.2.a.i \(3\) \(29.736\) 3.3.733.1 None None \(0\) \(1\) \(-2\) \(0\) \(-\) \(q+\beta _{1}q^{3}+(-1+\beta _{1}+\beta _{2})q^{5}+(2+\beta _{2})q^{9}+\cdots\)
3724.2.a.j \(3\) \(29.736\) 3.3.404.1 None None \(0\) \(2\) \(3\) \(0\) \(+\) \(q+(1-\beta _{1})q^{3}+(1+\beta _{1}-\beta _{2})q^{5}+(1+\cdots)q^{9}+\cdots\)
3724.2.a.k \(5\) \(29.736\) 5.5.11350832.1 None None \(0\) \(-2\) \(0\) \(0\) \(+\) \(q-\beta _{1}q^{3}+\beta _{2}q^{5}+(1+\beta _{1}+\beta _{2})q^{9}+\cdots\)
3724.2.a.l \(5\) \(29.736\) 5.5.11350832.1 None None \(0\) \(2\) \(0\) \(0\) \(-\) \(q+\beta _{1}q^{3}-\beta _{2}q^{5}+(1+\beta _{1}+\beta _{2})q^{9}+\cdots\)
3724.2.a.m \(7\) \(29.736\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(0\) \(0\) \(-2\) \(0\) \(-\) \(q-\beta _{1}q^{3}-\beta _{6}q^{5}+(2-\beta _{4}+\beta _{5})q^{9}+\cdots\)
3724.2.a.n \(7\) \(29.736\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(0\) \(0\) \(2\) \(0\) \(-\) \(q+\beta _{1}q^{3}+\beta _{6}q^{5}+(2-\beta _{4}+\beta _{5})q^{9}+\cdots\)
3724.2.a.o \(8\) \(29.736\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(0\) \(-4\) \(0\) \(0\) \(+\) \(q-\beta _{1}q^{3}-\beta _{2}q^{5}+(\beta _{1}+\beta _{2}+\beta _{3})q^{9}+\cdots\)
3724.2.a.p \(8\) \(29.736\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(0\) \(4\) \(0\) \(0\) \(-\) \(q+\beta _{1}q^{3}+\beta _{2}q^{5}+(\beta _{1}+\beta _{2}+\beta _{3})q^{9}+\cdots\)
3724.2.g.a \(2\) \(29.736\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-4\) \(0\) \(0\) \(q-2q^{3}+q^{9}-3q^{11}-2q^{13}-3\zeta_{6}q^{17}+\cdots\)
3724.2.g.b \(2\) \(29.736\) \(\Q(\sqrt{-3}) \) None None \(0\) \(4\) \(0\) \(0\) \(q+2q^{3}+q^{9}-3q^{11}+2q^{13}+3\zeta_{6}q^{17}+\cdots\)
3724.2.g.c \(4\) \(29.736\) \(\Q(\sqrt{-3}, \sqrt{-19})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\beta _{1}-2\beta _{3})q^{5}-3q^{9}+(-2-\beta _{2}+\cdots)q^{11}+\cdots\)
3724.2.g.d \(4\) \(29.736\) \(\Q(\sqrt{-3}, \sqrt{-19})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\beta _{1}-\beta _{3})q^{5}-3q^{9}+5q^{11}+(4\beta _{1}+\cdots)q^{17}+\cdots\)
3724.2.g.e \(8\) \(29.736\) 8.0.3288334336.2 None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{4}q^{5}-3q^{9}-2q^{11}-\beta _{1}q^{13}+\cdots\)
3724.2.g.f \(16\) \(29.736\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{6}q^{3}+\beta _{9}q^{5}+(3+\beta _{4})q^{9}+(\beta _{4}+\cdots)q^{11}+\cdots\)
3724.2.g.g \(32\) \(29.736\) None None \(0\) \(0\) \(0\) \(0\)
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