## Results (1-50 of 281 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1728.1.b.a $$4$$ $$0.862$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{12}^{2}-\zeta_{12}^{4})q^{5}-\zeta_{12}^{3}q^{7}+\cdots$$
1728.1.b.b $$4$$ $$0.862$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{3}q^{7}+(-\zeta_{12}^{2}-\zeta_{12}^{4})q^{13}+\cdots$$
1728.1.e.a $$1$$ $$0.862$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q-q^{7}+q^{13}+q^{19}+q^{25}+2q^{31}+\cdots$$
1728.1.e.b $$1$$ $$0.862$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q+q^{7}+q^{13}-q^{19}+q^{25}-2q^{31}+\cdots$$
1728.1.g.a $$2$$ $$0.862$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{6}+\zeta_{6}^{2})q^{7}-q^{13}+(\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{19}+\cdots$$
1728.1.h.a $$4$$ $$0.862$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{12}-\zeta_{12}^{5})q^{7}+(-\zeta_{12}^{2}-\zeta_{12}^{4}+\cdots)q^{13}+\cdots$$
1728.1.j.a $$4$$ $$0.862$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{5}+\zeta_{8}^{2}q^{7}-\zeta_{8}q^{11}+(-1+\cdots)q^{13}+\cdots$$
1728.1.n.a $$4$$ $$0.862$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{12}^{3}-\zeta_{12}^{5})q^{11}+(\zeta_{12}^{2}+\zeta_{12}^{4}+\cdots)q^{17}+\cdots$$
1728.1.o.a $$4$$ $$0.862$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\zeta_{12}^{4}q^{5}+\zeta_{12}^{5}q^{7}-\zeta_{12}^{5}q^{11}+\cdots$$
1728.1.bn.a $$12$$ $$0.862$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{36}^{11}q^{3}-\zeta_{36}^{4}q^{9}+(-\zeta_{36}-\zeta_{36}^{3}+\cdots)q^{11}+\cdots$$
1728.2.a.a $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$-4$$ $$-3$$ $$-$$ $$q-4q^{5}-3q^{7}-4q^{11}-q^{13}-4q^{17}+\cdots$$
1728.2.a.b $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$-4$$ $$3$$ $$-$$ $$q-4q^{5}+3q^{7}+4q^{11}-q^{13}-4q^{17}+\cdots$$
1728.2.a.c $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$-1$$ $$+$$ $$q-3q^{5}-q^{7}+3q^{11}+4q^{13}-2q^{19}+\cdots$$
1728.2.a.d $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$1$$ $$+$$ $$q-3q^{5}+q^{7}-3q^{11}+4q^{13}+2q^{19}+\cdots$$
1728.2.a.e $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$-3$$ $$+$$ $$q-2q^{5}-3q^{7}+6q^{11}+3q^{13}-2q^{17}+\cdots$$
1728.2.a.f $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$-1$$ $$+$$ $$q-2q^{5}-q^{7}+2q^{11}-q^{13}+6q^{17}+\cdots$$
1728.2.a.g $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$1$$ $$-$$ $$q-2q^{5}+q^{7}-2q^{11}-q^{13}+6q^{17}+\cdots$$
1728.2.a.h $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$3$$ $$-$$ $$q-2q^{5}+3q^{7}-6q^{11}+3q^{13}-2q^{17}+\cdots$$
1728.2.a.i $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-3$$ $$-$$ $$q-q^{5}-3q^{7}-5q^{11}-4q^{13}+8q^{17}+\cdots$$
1728.2.a.j $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-3$$ $$-$$ $$q-q^{5}-3q^{7}+3q^{11}-4q^{17}+6q^{19}+\cdots$$
1728.2.a.k $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$3$$ $$+$$ $$q-q^{5}+3q^{7}-3q^{11}-4q^{17}-6q^{19}+\cdots$$
1728.2.a.l $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$3$$ $$-$$ $$q-q^{5}+3q^{7}+5q^{11}-4q^{13}+8q^{17}+\cdots$$
1728.2.a.m $$1$$ $$13.798$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-5$$ $$-$$ $$q-5q^{7}+7q^{13}-q^{19}-5q^{25}+4q^{31}+\cdots$$
1728.2.a.n $$1$$ $$13.798$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$+$$ $$q-q^{7}-5q^{13}+7q^{19}-5q^{25}-4q^{31}+\cdots$$
1728.2.a.o $$1$$ $$13.798$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$+$$ $$q+q^{7}-5q^{13}-7q^{19}-5q^{25}+4q^{31}+\cdots$$
1728.2.a.p $$1$$ $$13.798$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$5$$ $$-$$ $$q+5q^{7}+7q^{13}+q^{19}-5q^{25}-4q^{31}+\cdots$$
1728.2.a.q $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-3$$ $$+$$ $$q+q^{5}-3q^{7}-3q^{11}+4q^{17}+6q^{19}+\cdots$$
1728.2.a.r $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-3$$ $$+$$ $$q+q^{5}-3q^{7}+5q^{11}-4q^{13}-8q^{17}+\cdots$$
1728.2.a.s $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$3$$ $$+$$ $$q+q^{5}+3q^{7}-5q^{11}-4q^{13}-8q^{17}+\cdots$$
1728.2.a.t $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$3$$ $$-$$ $$q+q^{5}+3q^{7}+3q^{11}+4q^{17}-6q^{19}+\cdots$$
1728.2.a.u $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-3$$ $$+$$ $$q+2q^{5}-3q^{7}-6q^{11}+3q^{13}+2q^{17}+\cdots$$
1728.2.a.v $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-1$$ $$+$$ $$q+2q^{5}-q^{7}-2q^{11}-q^{13}-6q^{17}+\cdots$$
1728.2.a.w $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$1$$ $$-$$ $$q+2q^{5}+q^{7}+2q^{11}-q^{13}-6q^{17}+\cdots$$
1728.2.a.x $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$3$$ $$-$$ $$q+2q^{5}+3q^{7}+6q^{11}+3q^{13}+2q^{17}+\cdots$$
1728.2.a.y $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$-1$$ $$-$$ $$q+3q^{5}-q^{7}-3q^{11}+4q^{13}-2q^{19}+\cdots$$
1728.2.a.z $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$1$$ $$-$$ $$q+3q^{5}+q^{7}+3q^{11}+4q^{13}+2q^{19}+\cdots$$
1728.2.a.ba $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$4$$ $$-3$$ $$-$$ $$q+4q^{5}-3q^{7}+4q^{11}-q^{13}+4q^{17}+\cdots$$
1728.2.a.bb $$1$$ $$13.798$$ $$\Q$$ None None $$0$$ $$0$$ $$4$$ $$3$$ $$-$$ $$q+4q^{5}+3q^{7}-4q^{11}-q^{13}+4q^{17}+\cdots$$
1728.2.a.bc $$2$$ $$13.798$$ $$\Q(\sqrt{13})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q-\beta q^{5}+\beta q^{7}-q^{11}-4q^{13}+2\beta q^{19}+\cdots$$
1728.2.a.bd $$2$$ $$13.798$$ $$\Q(\sqrt{13})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q-\beta q^{5}-\beta q^{7}+q^{11}-4q^{13}-2\beta q^{19}+\cdots$$
1728.2.c.a $$2$$ $$13.798$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{7}-7q^{13}+5\zeta_{6}q^{19}+5q^{25}+\cdots$$
1728.2.c.b $$2$$ $$13.798$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{7}+5q^{13}+\zeta_{6}q^{19}+5q^{25}+\cdots$$
1728.2.c.c $$4$$ $$13.798$$ $$\Q(\sqrt{3}, \sqrt{-5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{5}-\beta _{2}q^{7}-\beta _{3}q^{11}-2q^{13}+\cdots$$
1728.2.c.d $$4$$ $$13.798$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{5}+\beta _{2}q^{7}+\beta _{3}q^{11}+q^{13}+\cdots$$
1728.2.c.e $$4$$ $$13.798$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{5}-\zeta_{12}^{2}q^{7}+\zeta_{12}^{3}q^{11}+\cdots$$
1728.2.c.f $$8$$ $$13.798$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{2}q^{5}+(\zeta_{24}+\zeta_{24}^{3})q^{7}-\zeta_{24}^{6}q^{11}+\cdots$$
1728.2.c.g $$8$$ $$13.798$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{3}q^{5}-\zeta_{24}^{7}q^{7}+(\zeta_{24}+\zeta_{24}^{5}+\cdots)q^{11}+\cdots$$
1728.2.d.a $$2$$ $$13.798$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$-6$$ $$q+3iq^{5}-3q^{7}-3iq^{11}+6iq^{13}+\cdots$$
1728.2.d.b $$2$$ $$13.798$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$-6$$ $$q+3iq^{5}-3q^{7}-3iq^{11}-6iq^{13}+\cdots$$
1728.2.d.c $$2$$ $$13.798$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$6$$ $$q+3iq^{5}+3q^{7}+3iq^{11}+6iq^{13}+\cdots$$