## Results (1-50 of 104 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
3648.1.b.a $$1$$ $$1.821$$ $$\Q$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-57})$$ $$\Q(\sqrt{19})$$ $$0$$ $$-1$$ $$0$$ $$0$$ $$q-q^{3}+q^{9}+q^{19}+q^{25}-q^{27}-2q^{31}+\cdots$$
3648.1.b.b $$1$$ $$1.821$$ $$\Q$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-57})$$ $$\Q(\sqrt{19})$$ $$0$$ $$1$$ $$0$$ $$0$$ $$q+q^{3}+q^{9}-q^{19}+q^{25}+q^{27}+2q^{31}+\cdots$$
3648.1.l.a $$2$$ $$1.821$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-38})$$ $$\Q(\sqrt{114})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-iq^{7}-q^{9}-q^{13}+iq^{19}+\cdots$$
3648.1.l.b $$2$$ $$1.821$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-38})$$ $$\Q(\sqrt{114})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{3}-iq^{7}-q^{9}+q^{13}-iq^{19}+\cdots$$
3648.1.l.c $$4$$ $$1.821$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-38})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{3}+\zeta_{12}^{3}q^{7}+\zeta_{12}^{2}q^{9}-q^{13}+\cdots$$
3648.1.l.d $$4$$ $$1.821$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-38})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{3}q^{7}-\zeta_{12}^{4}q^{9}+\cdots$$
3648.1.ba.a $$4$$ $$1.821$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{3}+\zeta_{12}^{3}q^{7}+\zeta_{12}^{2}q^{9}-\zeta_{12}^{2}q^{13}+\cdots$$
3648.1.ba.b $$4$$ $$1.821$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{3}+\zeta_{12}^{3}q^{7}+\zeta_{12}^{2}q^{9}+\zeta_{12}^{2}q^{13}+\cdots$$
3648.1.bf.a $$4$$ $$1.821$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{3}q^{3}-q^{9}+(\zeta_{12}-\zeta_{12}^{5})q^{11}+\cdots$$
3648.1.bf.b $$4$$ $$1.821$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{3}+(-\zeta_{12}+\zeta_{12}^{5})q^{7}+\zeta_{12}^{2}q^{9}+\cdots$$
3648.1.bf.c $$4$$ $$1.821$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{9}+(-\zeta_{12}+\zeta_{12}^{5}+\cdots)q^{11}+\cdots$$
3648.1.bf.d $$4$$ $$1.821$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{3}+(-\zeta_{12}+\zeta_{12}^{5})q^{7}+\zeta_{12}^{2}q^{9}+\cdots$$
3648.1.bj.a $$2$$ $$1.821$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{3}+(-\zeta_{6}-\zeta_{6}^{2})q^{7}+\zeta_{6}^{2}q^{9}+\cdots$$
3648.1.bj.b $$2$$ $$1.821$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$q+\zeta_{6}q^{3}+(\zeta_{6}+\zeta_{6}^{2})q^{7}+\zeta_{6}^{2}q^{9}+\cdots$$
3648.1.bl.a $$2$$ $$1.821$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$2$$ $$q+\zeta_{6}^{2}q^{3}+q^{7}-\zeta_{6}q^{9}-\zeta_{6}q^{13}+\cdots$$
3648.1.bl.b $$2$$ $$1.821$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$-2$$ $$q-\zeta_{6}^{2}q^{3}-q^{7}-\zeta_{6}q^{9}-\zeta_{6}q^{13}+\cdots$$
3648.1.cn.a $$12$$ $$1.821$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{36}^{7}q^{3}+(-\zeta_{36}^{13}+\zeta_{36}^{17})q^{7}+\cdots$$
3648.1.cn.b $$12$$ $$1.821$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{36}^{11}q^{3}-\zeta_{36}^{4}q^{9}+(\zeta_{36}-\zeta_{36}^{5}+\cdots)q^{11}+\cdots$$
3648.1.cn.c $$12$$ $$1.821$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{36}^{7}q^{3}+(-\zeta_{36}^{13}+\zeta_{36}^{17})q^{7}+\cdots$$
3648.1.cn.d $$12$$ $$1.821$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{36}^{3}q^{3}+\zeta_{36}^{6}q^{9}+(-\zeta_{36}+\zeta_{36}^{5}+\cdots)q^{11}+\cdots$$
3648.1.cr.a $$6$$ $$1.821$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}^{4}q^{3}+(\zeta_{18}-\zeta_{18}^{2})q^{7}+\zeta_{18}^{8}q^{9}+\cdots$$
3648.1.cr.b $$6$$ $$1.821$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{18}^{4}q^{3}+(-\zeta_{18}+\zeta_{18}^{2})q^{7}+\zeta_{18}^{8}q^{9}+\cdots$$
3648.1.cu.a $$6$$ $$1.821$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{18}^{4}q^{3}+(\zeta_{18}+\zeta_{18}^{2})q^{7}+\zeta_{18}^{8}q^{9}+\cdots$$
3648.1.cu.b $$6$$ $$1.821$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}^{4}q^{3}+(-\zeta_{18}-\zeta_{18}^{2})q^{7}+\zeta_{18}^{8}q^{9}+\cdots$$
3648.1.cz.a $$12$$ $$1.821$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{36}^{11}q^{3}+(-\zeta_{36}-\zeta_{36}^{5})q^{7}+\cdots$$
3648.1.cz.b $$12$$ $$1.821$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{36}^{11}q^{3}+(\zeta_{36}+\zeta_{36}^{5})q^{7}-\zeta_{36}^{4}q^{9}+\cdots$$
3648.2.a.a $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$-1$$ $$-4$$ $$-4$$ $$+$$ $$q-q^{3}-4q^{5}-4q^{7}+q^{9}-4q^{11}+\cdots$$
3648.2.a.b $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$-1$$ $$-3$$ $$3$$ $$+$$ $$q-q^{3}-3q^{5}+3q^{7}+q^{9}-3q^{11}+\cdots$$
3648.2.a.c $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$-1$$ $$-2$$ $$0$$ $$-$$ $$q-q^{3}-2q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots$$
3648.2.a.d $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$-1$$ $$-2$$ $$0$$ $$-$$ $$q-q^{3}-2q^{5}+q^{9}-2q^{13}+2q^{15}+\cdots$$
3648.2.a.e $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$-1$$ $$-2$$ $$0$$ $$-$$ $$q-q^{3}-2q^{5}+q^{9}+2q^{11}-2q^{13}+\cdots$$
3648.2.a.f $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$-1$$ $$-2$$ $$4$$ $$-$$ $$q-q^{3}-2q^{5}+4q^{7}+q^{9}+6q^{11}+\cdots$$
3648.2.a.g $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$3$$ $$+$$ $$q-q^{3}-q^{5}+3q^{7}+q^{9}-5q^{11}+2q^{13}+\cdots$$
3648.2.a.h $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$3$$ $$-$$ $$q-q^{3}-q^{5}+3q^{7}+q^{9}+3q^{11}+6q^{13}+\cdots$$
3648.2.a.i $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-4$$ $$+$$ $$q-q^{3}-4q^{7}+q^{9}+4q^{13}+6q^{17}+\cdots$$
3648.2.a.j $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-4$$ $$+$$ $$q-q^{3}-4q^{7}+q^{9}+4q^{11}-2q^{17}+\cdots$$
3648.2.a.k $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$0$$ $$+$$ $$q-q^{3}+q^{9}-2q^{17}-q^{19}+6q^{23}+\cdots$$
3648.2.a.l $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$-1$$ $$+$$ $$q-q^{3}+q^{5}-q^{7}+q^{9}+5q^{11}-4q^{13}+\cdots$$
3648.2.a.m $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$1$$ $$+$$ $$q-q^{3}+q^{5}+q^{7}+q^{9}+3q^{11}-q^{15}+\cdots$$
3648.2.a.n $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$-1$$ $$2$$ $$-4$$ $$-$$ $$q-q^{3}+2q^{5}-4q^{7}+q^{9}-4q^{11}+\cdots$$
3648.2.a.o $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$-1$$ $$2$$ $$0$$ $$-$$ $$q-q^{3}+2q^{5}+q^{9}-6q^{13}-2q^{15}+\cdots$$
3648.2.a.p $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$-1$$ $$3$$ $$-3$$ $$+$$ $$q-q^{3}+3q^{5}-3q^{7}+q^{9}+q^{11}+2q^{13}+\cdots$$
3648.2.a.q $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$-1$$ $$3$$ $$-1$$ $$+$$ $$q-q^{3}+3q^{5}-q^{7}+q^{9}-5q^{11}+6q^{13}+\cdots$$
3648.2.a.r $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$-1$$ $$3$$ $$5$$ $$-$$ $$q-q^{3}+3q^{5}+5q^{7}+q^{9}+q^{11}-2q^{13}+\cdots$$
3648.2.a.s $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$1$$ $$-4$$ $$4$$ $$-$$ $$q+q^{3}-4q^{5}+4q^{7}+q^{9}+4q^{11}+\cdots$$
3648.2.a.t $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$1$$ $$-3$$ $$-3$$ $$+$$ $$q+q^{3}-3q^{5}-3q^{7}+q^{9}+3q^{11}+\cdots$$
3648.2.a.u $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$1$$ $$-2$$ $$-4$$ $$-$$ $$q+q^{3}-2q^{5}-4q^{7}+q^{9}-6q^{11}+\cdots$$
3648.2.a.v $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$1$$ $$-2$$ $$0$$ $$+$$ $$q+q^{3}-2q^{5}+q^{9}-2q^{11}-2q^{13}+\cdots$$
3648.2.a.w $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$1$$ $$-2$$ $$0$$ $$+$$ $$q+q^{3}-2q^{5}+q^{9}-2q^{13}-2q^{15}+\cdots$$
3648.2.a.x $$1$$ $$29.129$$ $$\Q$$ None None $$0$$ $$1$$ $$-2$$ $$0$$ $$+$$ $$q+q^{3}-2q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots$$