## Results (1-50 of 215 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
3024.1.f.a $$2$$ $$1.509$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q+\zeta_{6}^{2}q^{7}+(-\zeta_{6}-\zeta_{6}^{2})q^{13}+(-\zeta_{6}+\cdots)q^{19}+\cdots$$
3024.1.f.b $$2$$ $$1.509$$ $$\Q(\sqrt{-3})$$ None $$\Q(\sqrt{21})$$ $$0$$ $$0$$ $$0$$ $$2$$ $$q+(-\zeta_{6}-\zeta_{6}^{2})q^{5}+q^{7}+(-\zeta_{6}-\zeta_{6}^{2}+\cdots)q^{17}+\cdots$$
3024.1.o.a $$2$$ $$1.509$$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-21})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-\beta q^{5}-q^{7}-\beta q^{11}+q^{19}+\beta q^{23}+\cdots$$
3024.1.o.b $$2$$ $$1.509$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q+\zeta_{6}^{2}q^{7}+(\zeta_{6}+\zeta_{6}^{2})q^{13}-q^{19}+\cdots$$
3024.1.o.c $$2$$ $$1.509$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q-\zeta_{6}^{2}q^{7}+(\zeta_{6}+\zeta_{6}^{2})q^{13}+q^{19}+\cdots$$
3024.1.o.d $$2$$ $$1.509$$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-21})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q-\beta q^{5}+q^{7}+\beta q^{11}-q^{19}-\beta q^{23}+\cdots$$
3024.1.bk.a $$2$$ $$1.509$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-q^{7}+(-\zeta_{6}-\zeta_{6}^{2})q^{13}+\zeta_{6}q^{19}+\cdots$$
3024.1.bk.b $$2$$ $$1.509$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q+\zeta_{6}^{2}q^{7}+\zeta_{6}q^{19}-\zeta_{6}^{2}q^{25}+\zeta_{6}^{2}q^{31}+\cdots$$
3024.1.bk.c $$2$$ $$1.509$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q-\zeta_{6}^{2}q^{7}-\zeta_{6}q^{19}-\zeta_{6}^{2}q^{25}-\zeta_{6}^{2}q^{31}+\cdots$$
3024.1.bk.d $$2$$ $$1.509$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+q^{7}+(-\zeta_{6}-\zeta_{6}^{2})q^{13}-\zeta_{6}q^{19}+\cdots$$
3024.1.bw.a $$4$$ $$1.509$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\zeta_{12}^{2}q^{5}-\zeta_{12}^{3}q^{7}+\zeta_{12}q^{11}+\cdots$$
3024.1.cd.a $$2$$ $$1.509$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-q^{7}+q^{13}+\zeta_{6}q^{25}+(1-\zeta_{6}^{2})q^{31}+\cdots$$
3024.1.cd.b $$2$$ $$1.509$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q-\zeta_{6}q^{7}-q^{13}+(-1-\zeta_{6})q^{19}+\zeta_{6}q^{25}+\cdots$$
3024.1.cd.c $$2$$ $$1.509$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q+\zeta_{6}q^{7}-q^{13}+(1+\zeta_{6})q^{19}+\zeta_{6}q^{25}+\cdots$$
3024.1.cd.d $$2$$ $$1.509$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+q^{7}+q^{13}+\zeta_{6}q^{25}+(-1+\zeta_{6}^{2}+\cdots)q^{31}+\cdots$$
3024.1.cg.a $$2$$ $$1.509$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q+\zeta_{6}^{2}q^{7}+(-1+\zeta_{6}^{2})q^{19}+\zeta_{6}^{2}q^{25}+\cdots$$
3024.1.cg.b $$2$$ $$1.509$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+q^{7}+(\zeta_{6}+\zeta_{6}^{2})q^{13}+\zeta_{6}^{2}q^{25}+\cdots$$
3024.1.dc.a $$2$$ $$1.509$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-q^{7}-q^{13}-\zeta_{6}^{2}q^{19}-\zeta_{6}q^{25}+\cdots$$
3024.1.dc.b $$2$$ $$1.509$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q+\zeta_{6}q^{7}+q^{13}+\zeta_{6}^{2}q^{19}-\zeta_{6}q^{25}+\cdots$$
3024.1.dc.c $$4$$ $$1.509$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\beta _{1}q^{5}+\beta _{2}q^{7}+(\beta _{1}-\beta _{3})q^{17}+(1+\cdots)q^{19}+\cdots$$
3024.1.dd.a $$4$$ $$1.509$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+q^{5}+\zeta_{12}^{5}q^{7}-\zeta_{12}^{3}q^{11}+\zeta_{12}^{2}q^{13}+\cdots$$
3024.1.eg.a $$8$$ $$1.509$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{7}q^{5}-\zeta_{24}^{6}q^{7}+\cdots$$
3024.1.eg.b $$8$$ $$1.509$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}+\zeta_{24}^{10}q^{7}+\cdots$$
3024.2.a.a $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$-4$$ $$1$$ $$+$$ $$q-4q^{5}+q^{7}-4q^{11}+3q^{13}+7q^{17}+\cdots$$
3024.2.a.b $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$-4$$ $$1$$ $$+$$ $$q-4q^{5}+q^{7}+4q^{11}-q^{13}-3q^{17}+\cdots$$
3024.2.a.c $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$-1$$ $$-$$ $$q-3q^{5}-q^{7}-3q^{11}-4q^{13}-6q^{17}+\cdots$$
3024.2.a.d $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$-1$$ $$+$$ $$q-3q^{5}-q^{7}+2q^{13}-3q^{17}+4q^{19}+\cdots$$
3024.2.a.e $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$-1$$ $$-$$ $$q-3q^{5}-q^{7}+3q^{11}+2q^{13}+6q^{17}+\cdots$$
3024.2.a.f $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$-1$$ $$-$$ $$q-3q^{5}-q^{7}+6q^{11}-4q^{13}-3q^{17}+\cdots$$
3024.2.a.g $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-1$$ $$+$$ $$q-q^{5}-q^{7}-6q^{13}+7q^{17}+8q^{19}+\cdots$$
3024.2.a.h $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-1$$ $$+$$ $$q-q^{5}-q^{7}+3q^{11}-2q^{17}-q^{19}+\cdots$$
3024.2.a.i $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$1$$ $$-$$ $$q-q^{5}+q^{7}-2q^{11}-4q^{13}+3q^{17}+\cdots$$
3024.2.a.j $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$1$$ $$+$$ $$q-q^{5}+q^{7}+q^{11}-4q^{13}+6q^{17}+\cdots$$
3024.2.a.k $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$1$$ $$+$$ $$q-q^{5}+q^{7}+2q^{11}-5q^{17}-2q^{19}+\cdots$$
3024.2.a.l $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$1$$ $$-$$ $$q-q^{5}+q^{7}+4q^{11}-2q^{13}+3q^{17}+\cdots$$
3024.2.a.m $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$1$$ $$-$$ $$q-q^{5}+q^{7}+5q^{11}-2q^{17}+q^{19}+\cdots$$
3024.2.a.n $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$1$$ $$-$$ $$q-q^{5}+q^{7}+6q^{11}+4q^{13}+3q^{17}+\cdots$$
3024.2.a.o $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $$+$$ $$q-q^{7}+5q^{13}-3q^{17}-2q^{19}-9q^{23}+\cdots$$
3024.2.a.p $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $$-$$ $$q-q^{7}+5q^{13}+3q^{17}-2q^{19}+9q^{23}+\cdots$$
3024.2.a.q $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-1$$ $$+$$ $$q+q^{5}-q^{7}-3q^{11}+2q^{17}-q^{19}+\cdots$$
3024.2.a.r $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-1$$ $$-$$ $$q+q^{5}-q^{7}-6q^{13}-7q^{17}+8q^{19}+\cdots$$
3024.2.a.s $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$1$$ $$+$$ $$q+q^{5}+q^{7}-6q^{11}+4q^{13}-3q^{17}+\cdots$$
3024.2.a.t $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$1$$ $$-$$ $$q+q^{5}+q^{7}-5q^{11}+2q^{17}+q^{19}+\cdots$$
3024.2.a.u $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$1$$ $$+$$ $$q+q^{5}+q^{7}-4q^{11}-2q^{13}-3q^{17}+\cdots$$
3024.2.a.v $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$1$$ $$-$$ $$q+q^{5}+q^{7}-2q^{11}+5q^{17}-2q^{19}+\cdots$$
3024.2.a.w $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$1$$ $$+$$ $$q+q^{5}+q^{7}-q^{11}-4q^{13}-6q^{17}+\cdots$$
3024.2.a.x $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$1$$ $$+$$ $$q+q^{5}+q^{7}+2q^{11}-4q^{13}-3q^{17}+\cdots$$
3024.2.a.y $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$-1$$ $$+$$ $$q+3q^{5}-q^{7}-6q^{11}-4q^{13}+3q^{17}+\cdots$$
3024.2.a.z $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$-1$$ $$-$$ $$q+3q^{5}-q^{7}-3q^{11}+2q^{13}-6q^{17}+\cdots$$
3024.2.a.ba $$1$$ $$24.147$$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$-1$$ $$-$$ $$q+3q^{5}-q^{7}+2q^{13}+3q^{17}+4q^{19}+\cdots$$