## Results (1-50 of 127 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1512.1.e.a $$1$$ $$0.755$$ $$\Q$$ $$\Q(\sqrt{-42})$$ None $$-1$$ $$0$$ $$0$$ $$-1$$ $$q-q^{2}+q^{4}-q^{7}-q^{8}+q^{13}+q^{14}+\cdots$$
1512.1.e.b $$1$$ $$0.755$$ $$\Q$$ $$\Q(\sqrt{-42})$$ None $$-1$$ $$0$$ $$0$$ $$1$$ $$q-q^{2}+q^{4}+q^{7}-q^{8}-q^{13}-q^{14}+\cdots$$
1512.1.e.c $$1$$ $$0.755$$ $$\Q$$ $$\Q(\sqrt{-42})$$ None $$1$$ $$0$$ $$0$$ $$-1$$ $$q+q^{2}+q^{4}-q^{7}+q^{8}+q^{13}-q^{14}+\cdots$$
1512.1.e.d $$1$$ $$0.755$$ $$\Q$$ $$\Q(\sqrt{-42})$$ None $$1$$ $$0$$ $$0$$ $$1$$ $$q+q^{2}+q^{4}+q^{7}+q^{8}-q^{13}+q^{14}+\cdots$$
1512.1.l.a $$4$$ $$0.755$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-\zeta_{12}^{3}q^{2}-q^{4}+(\zeta_{12}-\zeta_{12}^{5})q^{5}+\cdots$$
1512.1.ba.a $$4$$ $$0.755$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}-\zeta_{12}^{3}q^{5}+\cdots$$
1512.1.bd.a $$2$$ $$0.755$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-6})$$ None $$-1$$ $$0$$ $$-2$$ $$-1$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{7}+\cdots$$
1512.1.bd.b $$2$$ $$0.755$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-6})$$ None $$-1$$ $$0$$ $$1$$ $$2$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+q^{7}+\cdots$$
1512.1.bd.c $$2$$ $$0.755$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-6})$$ None $$1$$ $$0$$ $$-1$$ $$2$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}+q^{7}+\cdots$$
1512.1.bd.d $$2$$ $$0.755$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-6})$$ None $$1$$ $$0$$ $$2$$ $$-1$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{7}+\cdots$$
1512.1.bn.a $$2$$ $$0.755$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-14})$$ None $$1$$ $$0$$ $$-1$$ $$-1$$ $$q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}-\zeta_{6}q^{7}+\cdots$$
1512.1.bn.b $$2$$ $$0.755$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-14})$$ None $$1$$ $$0$$ $$1$$ $$-1$$ $$q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{7}+\cdots$$
1512.1.bn.c $$4$$ $$0.755$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-14})$$ None $$-2$$ $$0$$ $$0$$ $$2$$ $$q+\zeta_{12}^{4}q^{2}-\zeta_{12}^{2}q^{4}+(\zeta_{12}+\zeta_{12}^{3}+\cdots)q^{5}+\cdots$$
1512.1.bw.a $$4$$ $$0.755$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}-\zeta_{12}^{2}q^{7}+\cdots$$
1512.1.bw.b $$4$$ $$0.755$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}+(-\zeta_{12}-\zeta_{12}^{3}+\cdots)q^{5}+\cdots$$
1512.1.ce.a $$4$$ $$0.755$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{3}q^{2}-q^{4}-\zeta_{12}q^{5}+\zeta_{12}^{3}q^{7}+\cdots$$
1512.1.cu.a $$4$$ $$0.755$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+\beta _{1}q^{5}-\beta _{2}q^{7}+(\beta _{1}-\beta _{3})q^{17}+(-1+\cdots)q^{19}+\cdots$$
1512.1.ef.a $$6$$ $$0.755$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$-3$$ $$6$$ $$0$$ $$q-\zeta_{18}^{5}q^{2}+\zeta_{18}^{6}q^{3}-\zeta_{18}q^{4}+(1+\cdots)q^{5}+\cdots$$
1512.1.ef.b $$6$$ $$0.755$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$3$$ $$-6$$ $$0$$ $$q-\zeta_{18}^{5}q^{2}-\zeta_{18}^{6}q^{3}-\zeta_{18}q^{4}+(-1+\cdots)q^{5}+\cdots$$
1512.1.ef.c $$12$$ $$0.755$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{36}^{10}q^{2}+\zeta_{36}^{3}q^{3}-\zeta_{36}^{2}q^{4}+\cdots$$
1512.2.a.a $$1$$ $$12.073$$ $$\Q$$ None None $$0$$ $$0$$ $$-4$$ $$-1$$ $$-$$ $$q-4q^{5}-q^{7}-4q^{11}-q^{13}-3q^{17}+\cdots$$
1512.2.a.b $$1$$ $$12.073$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-1$$ $$-$$ $$q-q^{5}-q^{7}-6q^{11}+4q^{13}+3q^{17}+\cdots$$
1512.2.a.c $$1$$ $$12.073$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-1$$ $$-$$ $$q-q^{5}-q^{7}-q^{11}-4q^{13}+6q^{17}+\cdots$$
1512.2.a.d $$1$$ $$12.073$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-1$$ $$+$$ $$q-q^{5}-q^{7}+2q^{11}-4q^{13}+3q^{17}+\cdots$$
1512.2.a.e $$1$$ $$12.073$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$1$$ $$+$$ $$q-q^{5}+q^{7}-3q^{11}-2q^{17}+q^{19}+\cdots$$
1512.2.a.f $$1$$ $$12.073$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$1$$ $$+$$ $$q-q^{5}+q^{7}-6q^{13}+7q^{17}-8q^{19}+\cdots$$
1512.2.a.g $$1$$ $$12.073$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-1$$ $$+$$ $$q+q^{5}-q^{7}-2q^{11}-4q^{13}-3q^{17}+\cdots$$
1512.2.a.h $$1$$ $$12.073$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-1$$ $$+$$ $$q+q^{5}-q^{7}+q^{11}-4q^{13}-6q^{17}+\cdots$$
1512.2.a.i $$1$$ $$12.073$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-1$$ $$-$$ $$q+q^{5}-q^{7}+6q^{11}+4q^{13}-3q^{17}+\cdots$$
1512.2.a.j $$1$$ $$12.073$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$1$$ $$+$$ $$q+q^{5}+q^{7}-6q^{13}-7q^{17}-8q^{19}+\cdots$$
1512.2.a.k $$1$$ $$12.073$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$1$$ $$-$$ $$q+q^{5}+q^{7}+3q^{11}+2q^{17}+q^{19}+\cdots$$
1512.2.a.l $$1$$ $$12.073$$ $$\Q$$ None None $$0$$ $$0$$ $$4$$ $$-1$$ $$-$$ $$q+4q^{5}-q^{7}+4q^{11}-q^{13}+3q^{17}+\cdots$$
1512.2.a.m $$2$$ $$12.073$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$-4$$ $$2$$ $$+$$ $$q+(-2+\beta )q^{5}+q^{7}-3\beta q^{11}+2\beta q^{13}+\cdots$$
1512.2.a.n $$2$$ $$12.073$$ $$\Q(\sqrt{33})$$ None None $$0$$ $$0$$ $$-1$$ $$2$$ $$-$$ $$q-\beta q^{5}+q^{7}+(1+\beta )q^{13}-q^{17}+(2+\cdots)q^{19}+\cdots$$
1512.2.a.o $$2$$ $$12.073$$ $$\Q(\sqrt{7})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$+$$ $$q+\beta q^{5}-q^{7}+(-2-\beta )q^{11}-2\beta q^{13}+\cdots$$
1512.2.a.p $$2$$ $$12.073$$ $$\Q(\sqrt{7})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$-$$ $$q+\beta q^{5}-q^{7}+(2-\beta )q^{11}+2\beta q^{13}+\cdots$$
1512.2.a.q $$2$$ $$12.073$$ $$\Q(\sqrt{33})$$ None None $$0$$ $$0$$ $$1$$ $$2$$ $$-$$ $$q+\beta q^{5}+q^{7}+(1+\beta )q^{13}+q^{17}+(2+\cdots)q^{19}+\cdots$$
1512.2.a.r $$2$$ $$12.073$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$4$$ $$2$$ $$-$$ $$q+(2+\beta )q^{5}+q^{7}-3\beta q^{11}-2\beta q^{13}+\cdots$$
1512.2.c.a $$2$$ $$12.073$$ $$\Q(\sqrt{-1})$$ None None $$-2$$ $$0$$ $$0$$ $$-2$$ $$q+(-1-i)q^{2}+2iq^{4}+2iq^{5}-q^{7}+\cdots$$
1512.2.c.b $$2$$ $$12.073$$ $$\Q(\sqrt{-1})$$ None None $$2$$ $$0$$ $$0$$ $$-2$$ $$q+(1-i)q^{2}-2iq^{4}+2iq^{5}-q^{7}+\cdots$$
1512.2.c.c $$8$$ $$12.073$$ 8.0.3317760000.5 None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q-\beta _{5}q^{2}+(-\beta _{2}+\beta _{3})q^{4}+(\beta _{5}+\beta _{6}+\cdots)q^{5}+\cdots$$
1512.2.c.d $$16$$ $$12.073$$ $$\Q(\zeta_{40})$$ None None $$0$$ $$0$$ $$0$$ $$-16$$ $$q+\zeta_{40}^{11}q^{2}-\zeta_{40}q^{4}+(\zeta_{40}^{10}+\zeta_{40}^{11}+\cdots)q^{5}+\cdots$$
1512.2.c.e $$20$$ $$12.073$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-20$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{4}+\beta _{14}q^{5}-q^{7}+\beta _{3}q^{8}+\cdots$$
1512.2.c.f $$24$$ $$12.073$$ None None $$0$$ $$0$$ $$0$$ $$24$$
1512.2.c.g $$24$$ $$12.073$$ None None $$0$$ $$0$$ $$0$$ $$24$$
1512.2.j.a $$8$$ $$12.073$$ 8.0.56070144.2 None None $$-4$$ $$0$$ $$-8$$ $$0$$ $$q+(-1-\beta _{3}-\beta _{5})q^{2}+(-\beta _{1}-\beta _{3}+\cdots)q^{4}+\cdots$$
1512.2.j.b $$8$$ $$12.073$$ 8.0.56070144.2 None None $$4$$ $$0$$ $$8$$ $$0$$ $$q+(1+\beta _{3}+\beta _{5})q^{2}+(-\beta _{1}-\beta _{3}+\beta _{5}+\cdots)q^{4}+\cdots$$
1512.2.j.c $$32$$ $$12.073$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1512.2.j.d $$48$$ $$12.073$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1512.2.k.a $$16$$ $$12.073$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-\beta _{9}q^{5}-\beta _{1}q^{7}-\beta _{10}q^{11}-\beta _{5}q^{13}+\cdots$$