## Results (1-50 of 287 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
432.1.e.a $$1$$ $$0.216$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q+q^{7}-q^{13}+q^{19}+q^{25}-2q^{31}+\cdots$$
432.1.g.a $$2$$ $$0.216$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{6}+\zeta_{6}^{2})q^{7}+q^{13}+(-\zeta_{6}-\zeta_{6}^{2}+\cdots)q^{19}+\cdots$$
432.1.j.a $$4$$ $$0.216$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}+\zeta_{8}^{2}q^{7}+\cdots$$
432.2.a.a $$1$$ $$3.450$$ $$\Q$$ None None $$0$$ $$0$$ $$-4$$ $$3$$ $$-$$ $$q-4q^{5}+3q^{7}+4q^{11}+q^{13}+4q^{17}+\cdots$$
432.2.a.b $$1$$ $$3.450$$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$1$$ $$+$$ $$q-3q^{5}+q^{7}-3q^{11}-4q^{13}-2q^{19}+\cdots$$
432.2.a.c $$1$$ $$3.450$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-3$$ $$+$$ $$q-q^{5}-3q^{7}-5q^{11}+4q^{13}-8q^{17}+\cdots$$
432.2.a.d $$1$$ $$3.450$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-5$$ $$+$$ $$q-5q^{7}-7q^{13}+q^{19}-5q^{25}+4q^{31}+\cdots$$
432.2.a.e $$1$$ $$3.450$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$-$$ $$q+q^{7}+5q^{13}+7q^{19}-5q^{25}+4q^{31}+\cdots$$
432.2.a.f $$1$$ $$3.450$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-3$$ $$-$$ $$q+q^{5}-3q^{7}+5q^{11}+4q^{13}+8q^{17}+\cdots$$
432.2.a.g $$1$$ $$3.450$$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$1$$ $$-$$ $$q+3q^{5}+q^{7}+3q^{11}-4q^{13}-2q^{19}+\cdots$$
432.2.a.h $$1$$ $$3.450$$ $$\Q$$ None None $$0$$ $$0$$ $$4$$ $$3$$ $$-$$ $$q+4q^{5}+3q^{7}-4q^{11}+q^{13}-4q^{17}+\cdots$$
432.2.c.a $$2$$ $$3.450$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{7}-5q^{13}-\zeta_{6}q^{19}+5q^{25}+\cdots$$
432.2.c.b $$2$$ $$3.450$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{7}+7q^{13}-5\zeta_{6}q^{19}+5q^{25}+\cdots$$
432.2.c.c $$4$$ $$3.450$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{5}+\zeta_{12}^{2}q^{7}-\zeta_{12}^{3}q^{11}+\cdots$$
432.2.i.a $$2$$ $$3.450$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-1$$ $$-3$$ $$q-\zeta_{6}q^{5}+(-3+3\zeta_{6})q^{7}+(-5+5\zeta_{6})q^{11}+\cdots$$
432.2.i.b $$2$$ $$3.450$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q+(2-2\zeta_{6})q^{7}+(3-3\zeta_{6})q^{11}-2\zeta_{6}q^{13}+\cdots$$
432.2.i.c $$2$$ $$3.450$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$3$$ $$-1$$ $$q+3\zeta_{6}q^{5}+(-1+\zeta_{6})q^{7}+(-3+3\zeta_{6})q^{11}+\cdots$$
432.2.i.d $$4$$ $$3.450$$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None None $$0$$ $$0$$ $$-1$$ $$3$$ $$q+(-\beta _{1}+\beta _{3})q^{5}+(2-\beta _{1}+\beta _{2}-\beta _{3})q^{7}+\cdots$$
432.2.k.a $$4$$ $$3.450$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{8}+\zeta_{8}^{3})q^{2}-2q^{4}-\zeta_{8}q^{5}+3\zeta_{8}^{2}q^{7}+\cdots$$
432.2.k.b $$4$$ $$3.450$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{8}+\zeta_{8}^{3})q^{2}-2q^{4}-\zeta_{8}q^{5}-3\zeta_{8}^{2}q^{7}+\cdots$$
432.2.k.c $$24$$ $$3.450$$ None None $$0$$ $$0$$ $$0$$ $$0$$
432.2.k.d $$32$$ $$3.450$$ None None $$0$$ $$0$$ $$0$$ $$0$$
432.2.l.a $$32$$ $$3.450$$ None None $$0$$ $$0$$ $$0$$ $$0$$
432.2.l.b $$32$$ $$3.450$$ None None $$0$$ $$0$$ $$0$$ $$0$$
432.2.s.a $$2$$ $$3.450$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-3$$ $$-3$$ $$q+(-2+\zeta_{6})q^{5}+(-1-\zeta_{6})q^{7}+(-3+\cdots)q^{11}+\cdots$$
432.2.s.b $$2$$ $$3.450$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-3$$ $$3$$ $$q+(-2+\zeta_{6})q^{5}+(1+\zeta_{6})q^{7}+(3-3\zeta_{6})q^{11}+\cdots$$
432.2.s.c $$2$$ $$3.450$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$6$$ $$-6$$ $$q+(4-2\zeta_{6})q^{5}+(-2-2\zeta_{6})q^{7}+(3+\cdots)q^{11}+\cdots$$
432.2.s.d $$2$$ $$3.450$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$6$$ $$6$$ $$q+(4-2\zeta_{6})q^{5}+(2+2\zeta_{6})q^{7}+(-3+\cdots)q^{11}+\cdots$$
432.2.s.e $$4$$ $$3.450$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$-6$$ $$0$$ $$q+(-2+\zeta_{12}^{2})q^{5}+\zeta_{12}q^{7}+(-\zeta_{12}+\cdots)q^{11}+\cdots$$
432.2.u.a $$6$$ $$3.450$$ $$\Q(\zeta_{18})$$ None None $$0$$ $$0$$ $$-3$$ $$-3$$ $$q+(-2\zeta_{18}^{2}+\zeta_{18}^{5})q^{3}+(-\zeta_{18}^{2}+\cdots)q^{5}+\cdots$$
432.2.u.b $$12$$ $$3.450$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$-3$$ $$3$$ $$q+(\beta _{3}-\beta _{4}-\beta _{11})q^{3}+(-\beta _{1}+\beta _{5}+\cdots)q^{5}+\cdots$$
432.2.u.c $$12$$ $$3.450$$ 12.0.$$\cdots$$.1 None None $$0$$ $$6$$ $$-3$$ $$6$$ $$q+(-\beta _{2}+\beta _{6}+\beta _{7}-\beta _{9})q^{3}+(\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots$$
432.2.u.d $$18$$ $$3.450$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$0$$ $$0$$ $$3$$ $$0$$ $$q-\beta _{12}q^{3}+(-1+\beta _{1}-\beta _{4}-\beta _{6}-\beta _{7}+\cdots)q^{5}+\cdots$$
432.2.u.e $$24$$ $$3.450$$ None None $$0$$ $$0$$ $$0$$ $$3$$
432.2.u.f $$30$$ $$3.450$$ None None $$0$$ $$0$$ $$0$$ $$-3$$
432.2.v.a $$88$$ $$3.450$$ None None $$6$$ $$0$$ $$6$$ $$-4$$
432.2.y.a $$4$$ $$3.450$$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$0$$ $$-2$$ $$-12$$ $$q+(-1-\zeta_{12}+\zeta_{12}^{2})q^{2}+(2\zeta_{12}-2\zeta_{12}^{3})q^{4}+\cdots$$
432.2.y.b $$4$$ $$3.450$$ $$\Q(\zeta_{12})$$ None None $$2$$ $$0$$ $$-4$$ $$6$$ $$q+(-\zeta_{12}+\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}-2\zeta_{12}q^{4}+\cdots$$
432.2.y.c $$4$$ $$3.450$$ $$\Q(\zeta_{12})$$ None None $$2$$ $$0$$ $$8$$ $$-6$$ $$q+(-\zeta_{12}+\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}-2\zeta_{12}q^{4}+\cdots$$
432.2.y.d $$4$$ $$3.450$$ $$\Q(\zeta_{12})$$ None None $$4$$ $$0$$ $$4$$ $$12$$ $$q+(1+\zeta_{12}^{3})q^{2}+2\zeta_{12}^{3}q^{4}+(1+\zeta_{12}+\cdots)q^{5}+\cdots$$
432.2.y.e $$72$$ $$3.450$$ None None $$-4$$ $$0$$ $$-4$$ $$0$$
432.2.be.a $$36$$ $$3.450$$ None None $$0$$ $$0$$ $$-6$$ $$0$$
432.2.be.b $$36$$ $$3.450$$ None None $$0$$ $$0$$ $$3$$ $$0$$
432.2.be.c $$36$$ $$3.450$$ None None $$0$$ $$0$$ $$3$$ $$0$$
432.2.bg.a $$840$$ $$3.450$$ None None $$-12$$ $$-12$$ $$-12$$ $$0$$
432.2.bj.a $$840$$ $$3.450$$ None None $$-12$$ $$-12$$ $$-12$$ $$-24$$
432.3.e.a $$1$$ $$11.771$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-11$$ $$q-11q^{7}+23q^{13}+37q^{19}+5^{2}q^{25}+\cdots$$
432.3.e.b $$1$$ $$11.771$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$13$$ $$q+13q^{7}-q^{13}-11q^{19}+5^{2}q^{25}+\cdots$$
432.3.e.c $$2$$ $$11.771$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$-10$$ $$q+iq^{5}-5q^{7}-5iq^{11}-10q^{13}+\cdots$$
432.3.e.d $$2$$ $$11.771$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$-10$$ $$q+\beta q^{5}-5q^{7}+\beta q^{11}-q^{13}-3\beta q^{17}+\cdots$$