## Results (1-50 of 114 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1368.1.i.a $1$ $0.683$ $$\Q$$ $$\Q(\sqrt{-38})$$ None $$-1$$ $$0$$ $$0$$ $$-1$$ $$q-q^{2}+q^{4}-q^{7}-q^{8}-q^{13}+q^{14}+\cdots$$
1368.1.i.b $1$ $0.683$ $$\Q$$ $$\Q(\sqrt{-38})$$ None $$1$$ $$0$$ $$0$$ $$-1$$ $$q+q^{2}+q^{4}-q^{7}+q^{8}+q^{13}-q^{14}+\cdots$$
1368.1.l.a $4$ $0.683$ $$\Q(\zeta_{8})$$ None $$\Q(\sqrt{38})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}-q^{4}-\zeta_{8}^{2}q^{8}+(-\zeta_{8}-\zeta_{8}^{3}+\cdots)q^{11}+\cdots$$
1368.1.ba.a $2$ $0.683$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$-1$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+q^{6}+\cdots$$
1368.1.ba.b $2$ $0.683$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$2$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{2}+q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{6}+q^{8}+\cdots$$
1368.1.ba.c $4$ $0.683$ $$\Q(\zeta_{12})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}-\zeta_{12}^{4}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{5}+\cdots$$
1368.1.bo.a $2$ $0.683$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$1$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots$$
1368.1.bo.b $2$ $0.683$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$1$$ $$-1$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots$$
1368.1.bt.a $2$ $0.683$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$-2$$ $$-1$$ $$0$$ $$0$$ $$q-q^{2}-\zeta_{6}q^{3}+q^{4}+\zeta_{6}q^{6}-q^{8}+\cdots$$
1368.1.bt.b $2$ $0.683$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$2$$ $$1$$ $$0$$ $$0$$ $$q+q^{2}-\zeta_{6}^{2}q^{3}+q^{4}-\zeta_{6}^{2}q^{6}+q^{8}+\cdots$$
1368.1.bw.a $8$ $0.683$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q-\zeta_{24}^{5}q^{2}+\zeta_{24}^{10}q^{4}-q^{7}+\zeta_{24}^{3}q^{8}+\cdots$$
1368.1.bz.a $2$ $0.683$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$1$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-q^{8}+q^{11}-\zeta_{6}q^{16}+\cdots$$
1368.1.ce.a $6$ $0.683$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-38})$$ None $$-3$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}^{6}q^{2}+\zeta_{18}^{4}q^{3}-\zeta_{18}^{3}q^{4}+\cdots$$
1368.1.ce.b $6$ $0.683$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-38})$$ None $$3$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{18}^{6}q^{2}+\zeta_{18}^{7}q^{3}-\zeta_{18}^{3}q^{4}+\cdots$$
1368.1.cj.a $2$ $0.683$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$2$$ $$-1$$ $$0$$ $$0$$ $$q+q^{2}+\zeta_{6}^{2}q^{3}+q^{4}+\zeta_{6}^{2}q^{6}+q^{8}+\cdots$$
1368.1.cj.b $2$ $0.683$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$2$$ $$-1$$ $$0$$ $$0$$ $$q+q^{2}-\zeta_{6}q^{3}+q^{4}-\zeta_{6}q^{6}+q^{8}+\cdots$$
1368.1.cj.c $4$ $0.683$ $$\Q(\zeta_{12})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q-\zeta_{12}^{3}q^{2}-q^{3}-q^{4}-\zeta_{12}^{5}q^{5}+\cdots$$
1368.1.cz.a $2$ $0.683$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$1$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}-q^{6}+q^{8}+\cdots$$
1368.1.cz.b $2$ $0.683$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$1$$ $$2$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}+q^{3}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{6}+\cdots$$
1368.1.dh.a $6$ $0.683$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-3$$ $$0$$ $$0$$ $$q+\zeta_{18}^{4}q^{2}+\zeta_{18}^{6}q^{3}+\zeta_{18}^{8}q^{4}+\cdots$$
1368.1.dh.b $6$ $0.683$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}^{4}q^{2}+\zeta_{18}^{8}q^{3}+\zeta_{18}^{8}q^{4}+\cdots$$
1368.1.dk.a $6$ $0.683$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}q^{2}+\zeta_{18}^{2}q^{3}+\zeta_{18}^{2}q^{4}+\zeta_{18}^{3}q^{6}+\cdots$$
1368.1.dk.b $6$ $0.683$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$3$$ $$0$$ $$0$$ $$q-\zeta_{18}q^{2}-\zeta_{18}^{6}q^{3}+\zeta_{18}^{2}q^{4}+\zeta_{18}^{7}q^{6}+\cdots$$
1368.1.ee.a $6$ $0.683$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-6$$ $$0$$ $$0$$ $$q+\zeta_{18}^{4}q^{2}-q^{3}+\zeta_{18}^{8}q^{4}-\zeta_{18}^{4}q^{6}+\cdots$$
1368.1.ee.b $6$ $0.683$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{18}^{4}q^{2}-\zeta_{18}^{5}q^{3}+\zeta_{18}^{8}q^{4}+\cdots$$
1368.1.eh.a $6$ $0.683$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}^{5}q^{2}-\zeta_{18}q^{4}-\zeta_{18}^{6}q^{8}+(-\zeta_{18}^{4}+\cdots)q^{11}+\cdots$$
1368.1.en.a $6$ $0.683$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{18}^{5}q^{2}+\zeta_{18}^{4}q^{3}-\zeta_{18}q^{4}+q^{6}+\cdots$$
1368.1.en.b $6$ $0.683$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$6$$ $$0$$ $$0$$ $$q-\zeta_{18}^{5}q^{2}+q^{3}-\zeta_{18}q^{4}-\zeta_{18}^{5}q^{6}+\cdots$$
1368.2.a.a $1$ $10.924$ $$\Q$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $+$ $$q-4q^{5}+6q^{11}+2q^{13}-4q^{17}-q^{19}+\cdots$$
1368.2.a.b $1$ $10.924$ $$\Q$$ None None $$0$$ $$0$$ $$-4$$ $$4$$ $-$ $$q-4q^{5}+4q^{7}+4q^{11}-4q^{13}-6q^{17}+\cdots$$
1368.2.a.c $1$ $10.924$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $+$ $$q-2q^{5}+2q^{13}-2q^{17}-q^{19}-q^{25}+\cdots$$
1368.2.a.d $1$ $10.924$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-3$$ $+$ $$q-q^{5}-3q^{7}+5q^{11}-2q^{13}+q^{17}+\cdots$$
1368.2.a.e $1$ $10.924$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q-2q^{11}-2q^{13}-4q^{17}+q^{19}-2q^{23}+\cdots$$
1368.2.a.f $1$ $10.924$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+2q^{11}-2q^{13}+4q^{17}+q^{19}+2q^{23}+\cdots$$
1368.2.a.g $1$ $10.924$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$3$$ $-$ $$q+3q^{7}-2q^{11}+q^{13}+5q^{17}+q^{19}+\cdots$$
1368.2.a.h $1$ $10.924$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-3$$ $+$ $$q+q^{5}-3q^{7}+3q^{11}-4q^{13}-5q^{17}+\cdots$$
1368.2.a.i $1$ $10.924$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$-3$$ $-$ $$q+3q^{5}-3q^{7}+q^{11}-2q^{13}+5q^{17}+\cdots$$
1368.2.a.j $1$ $10.924$ $$\Q$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $-$ $$q+4q^{5}-6q^{11}+2q^{13}+4q^{17}-q^{19}+\cdots$$
1368.2.a.k $2$ $10.924$ $$\Q(\sqrt{17})$$ None None $$0$$ $$0$$ $$-1$$ $$1$$ $+$ $$q-\beta q^{5}+\beta q^{7}+(-4+\beta )q^{11}-2\beta q^{13}+\cdots$$
1368.2.a.l $2$ $10.924$ $$\Q(\sqrt{41})$$ None None $$0$$ $$0$$ $$1$$ $$-3$$ $-$ $$q+\beta q^{5}+(-2+\beta )q^{7}+(-2+\beta )q^{11}+\cdots$$
1368.2.a.m $3$ $10.924$ 3.3.892.1 None None $$0$$ $$0$$ $$-2$$ $$-2$$ $-$ $$q+(-1+\beta _{1})q^{5}+(-1+\beta _{1}+\beta _{2})q^{7}+\cdots$$
1368.2.a.n $3$ $10.924$ 3.3.961.1 None None $$0$$ $$0$$ $$-1$$ $$4$$ $-$ $$q-\beta _{1}q^{5}+(1-\beta _{2})q^{7}+(2-\beta _{1})q^{11}+\cdots$$
1368.2.a.o $3$ $10.924$ 3.3.892.1 None None $$0$$ $$0$$ $$2$$ $$-2$$ $+$ $$q+(1-\beta _{1})q^{5}+(-1+\beta _{1}+\beta _{2})q^{7}+\cdots$$
1368.2.e.a $2$ $10.924$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{2}-2q^{4}+2\beta q^{8}-6q^{11}+4q^{16}+\cdots$$
1368.2.e.b $4$ $10.924$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(1-\beta _{3})q^{4}+(-1+2\beta _{3})q^{7}+\cdots$$
1368.2.e.c $8$ $10.924$ 8.0.$$\cdots$$.11 $$\Q(\sqrt{-114})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-2q^{4}-\beta _{2}q^{5}-2\beta _{1}q^{8}+\cdots$$
1368.2.e.d $8$ $10.924$ 8.0.207360000.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}-\beta _{5})q^{2}+(-1-\beta _{4})q^{4}+2\beta _{4}q^{7}+\cdots$$
1368.2.e.e $12$ $10.924$ 12.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+\beta _{2}q^{4}+(\beta _{5}-\beta _{8})q^{5}-\beta _{8}q^{7}+\cdots$$
1368.2.e.f $24$ $10.924$ None None $$0$$ $$0$$ $$0$$ $$0$$
1368.2.e.g $40$ $10.924$ None None $$0$$ $$0$$ $$0$$ $$0$$