## Results (1-50 of 239 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
288.1.e.a $$2$$ $$0.144$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{5}+\beta q^{17}-q^{25}+\beta q^{29}-2q^{37}+\cdots$$
288.1.o.a $$4$$ $$0.144$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\zeta_{12}^{3}q^{3}+\zeta_{12}^{2}q^{5}+\zeta_{12}q^{7}-q^{9}+\cdots$$
288.1.t.a $$2$$ $$0.144$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+\zeta_{6}^{2}q^{11}-q^{17}+\cdots$$
288.2.a.a $$1$$ $$2.300$$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$+$$ $$q-4q^{5}-6q^{13}-8q^{17}+11q^{25}+\cdots$$
288.2.a.b $$1$$ $$2.300$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$-4$$ $$+$$ $$q-2q^{5}-4q^{7}-4q^{11}-2q^{13}+6q^{17}+\cdots$$
288.2.a.c $$1$$ $$2.300$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$4$$ $$-$$ $$q-2q^{5}+4q^{7}+4q^{11}-2q^{13}+6q^{17}+\cdots$$
288.2.a.d $$1$$ $$2.300$$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$-$$ $$q+2q^{5}+6q^{13}-2q^{17}-q^{25}+10q^{29}+\cdots$$
288.2.a.e $$1$$ $$2.300$$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$-$$ $$q+4q^{5}-6q^{13}+8q^{17}+11q^{25}+\cdots$$
288.2.c.a $$4$$ $$2.300$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{5}+\zeta_{8}q^{7}+\zeta_{8}^{3}q^{11}+4q^{13}+\cdots$$
288.2.d.a $$2$$ $$2.300$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\beta q^{5}-2q^{7}+2\beta q^{11}-3q^{25}+\beta q^{29}+\cdots$$
288.2.d.b $$2$$ $$2.300$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$q+iq^{5}+2q^{7}+2iq^{13}+2q^{17}+2iq^{19}+\cdots$$
288.2.f.a $$4$$ $$2.300$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{5}-\beta _{3}q^{7}-2\beta _{1}q^{11}-\beta _{3}q^{13}+\cdots$$
288.2.i.a $$2$$ $$2.300$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$-4$$ $$-2$$ $$q+(-1-\zeta_{6})q^{3}-4\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}+\cdots$$
288.2.i.b $$2$$ $$2.300$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$3$$ $$-4$$ $$2$$ $$q+(1+\zeta_{6})q^{3}-4\zeta_{6}q^{5}+(2-2\zeta_{6})q^{7}+\cdots$$
288.2.i.c $$4$$ $$2.300$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$-4$$ $$2$$ $$2$$ $$q+(-1+\beta _{3})q^{3}+\beta _{2}q^{5}+(1-\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots$$
288.2.i.d $$4$$ $$2.300$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\zeta_{12}^{3}q^{3}+(1-\zeta_{12})q^{5}+\zeta_{12}^{2}q^{7}+\cdots$$
288.2.i.e $$4$$ $$2.300$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$4$$ $$2$$ $$-2$$ $$q+(1-\beta _{3})q^{3}+(1-\beta _{2})q^{5}+(-\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots$$
288.2.i.f $$8$$ $$2.300$$ 8.0.170772624.1 None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(-\beta _{1}+\beta _{5})q^{3}+(1-\beta _{4}+\beta _{7})q^{5}+\cdots$$
288.2.p.a $$4$$ $$2.300$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+(\beta _{1}-\beta _{2}-\beta _{3})q^{3}+(1-2\beta _{1}-\beta _{2}+\cdots)q^{9}+\cdots$$
288.2.p.b $$16$$ $$2.300$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$6$$ $$0$$ $$0$$ $$q+(-\beta _{1}+\beta _{3}-\beta _{8})q^{3}-\beta _{9}q^{5}-\beta _{4}q^{7}+\cdots$$
288.2.r.a $$4$$ $$2.300$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$8$$ $$q+(-\zeta_{12}-\zeta_{12}^{3})q^{3}+2\zeta_{12}q^{5}+4\zeta_{12}^{2}q^{7}+\cdots$$
288.2.r.b $$16$$ $$2.300$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-6$$ $$q-\beta _{12}q^{3}+(-\beta _{4}-\beta _{7}+\beta _{8}-\beta _{11}+\cdots)q^{5}+\cdots$$
288.2.s.a $$24$$ $$2.300$$ None None $$0$$ $$0$$ $$0$$ $$0$$
288.2.v.a $$4$$ $$2.300$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$4$$ $$4$$ $$q+(\zeta_{8}+\zeta_{8}^{3})q^{2}-2q^{4}+(1+\zeta_{8}+2\zeta_{8}^{2}+\cdots)q^{5}+\cdots$$
288.2.v.b $$8$$ $$2.300$$ 8.0.18939904.2 None None $$4$$ $$0$$ $$0$$ $$-8$$ $$q+\beta _{2}q^{2}+(\beta _{2}-\beta _{3}+\beta _{6})q^{4}+(\beta _{6}+\beta _{7})q^{5}+\cdots$$
288.2.v.c $$32$$ $$2.300$$ None None $$0$$ $$0$$ $$0$$ $$0$$
288.2.v.d $$32$$ $$2.300$$ None None $$0$$ $$0$$ $$0$$ $$0$$
288.2.w.a $$32$$ $$2.300$$ None None $$-4$$ $$0$$ $$0$$ $$0$$
288.2.w.b $$32$$ $$2.300$$ None None $$4$$ $$0$$ $$0$$ $$0$$
288.2.bc.a $$368$$ $$2.300$$ None None $$-4$$ $$-8$$ $$-4$$ $$-4$$
288.2.bf.a $$368$$ $$2.300$$ None None $$-12$$ $$-8$$ $$-12$$ $$-4$$
288.3.b.a $$1$$ $$7.847$$ $$\Q$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+14q^{11}-2q^{17}+34q^{19}+5^{2}q^{25}+\cdots$$
288.3.b.b $$4$$ $$7.847$$ 4.0.4752.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{5}+(-\beta _{1}-\beta _{2})q^{7}-8q^{11}+\cdots$$
288.3.b.c $$4$$ $$7.847$$ $$\Q(\sqrt{-6}, \sqrt{10})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{5}-\beta _{2}q^{7}-\beta _{3}q^{11}+2\beta _{2}q^{13}+\cdots$$
288.3.e.a $$2$$ $$7.847$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$-16$$ $$q+\beta q^{5}-8q^{7}-8\beta q^{11}-8q^{13}-9\beta q^{17}+\cdots$$
288.3.e.b $$2$$ $$7.847$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+7\beta q^{5}-24q^{13}-7\beta q^{17}-73q^{25}+\cdots$$
288.3.e.c $$2$$ $$7.847$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{5}+24q^{13}+23\beta q^{17}+23q^{25}+\cdots$$
288.3.e.d $$2$$ $$7.847$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$16$$ $$q+\beta q^{5}+8q^{7}+8\beta q^{11}-8q^{13}-9\beta q^{17}+\cdots$$
288.3.g.a $$2$$ $$7.847$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-8$$ $$0$$ $$q-4q^{5}+iq^{7}-4iq^{11}-2q^{13}-24q^{17}+\cdots$$
288.3.g.b $$2$$ $$7.847$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-2q^{5}+2iq^{7}-iq^{11}-14q^{13}+\cdots$$
288.3.g.c $$2$$ $$7.847$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$8$$ $$0$$ $$q+4q^{5}+iq^{7}+4iq^{11}-2q^{13}+24q^{17}+\cdots$$
288.3.g.d $$4$$ $$7.847$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$8$$ $$0$$ $$q+(2+\zeta_{12}^{2})q^{5}+(-\zeta_{12}-\zeta_{12}^{3})q^{7}+\cdots$$
288.3.h.a $$8$$ $$7.847$$ 8.0.$$\cdots$$.2 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{5}+\beta _{4}q^{7}+(-\beta _{2}-\beta _{3})q^{11}+\cdots$$
288.3.n.a $$44$$ $$7.847$$ None None $$0$$ $$0$$ $$0$$ $$2$$
288.3.o.a $$4$$ $$7.847$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$-14$$ $$0$$ $$q+3\zeta_{12}^{3}q^{3}-7\zeta_{12}^{2}q^{5}+5\zeta_{12}q^{7}+\cdots$$
288.3.o.b $$20$$ $$7.847$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$0$$ $$0$$ $$14$$ $$0$$ $$q+\beta _{2}q^{3}+(\beta _{1}-\beta _{4}+\beta _{7})q^{5}+(\beta _{15}+\cdots)q^{7}+\cdots$$
288.3.o.c $$24$$ $$7.847$$ None None $$0$$ $$0$$ $$0$$ $$0$$
288.3.q.a $$24$$ $$7.847$$ None None $$0$$ $$0$$ $$0$$ $$0$$
288.3.q.b $$24$$ $$7.847$$ None None $$0$$ $$0$$ $$0$$ $$0$$
288.3.t.a $$4$$ $$7.847$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+(-\beta _{1}-\beta _{2}+\beta _{3})q^{3}+(7+2\beta _{1}-7\beta _{2}+\cdots)q^{9}+\cdots$$