## Results (1-50 of 133 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2700.1.b.a $2$ $1.347$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{7}-iq^{13}-q^{19}-q^{31}+iq^{37}+\cdots$$
2700.1.b.b $2$ $1.347$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{7}+iq^{13}+q^{19}+q^{31}-iq^{37}+\cdots$$
2700.1.c.a $2$ $1.347$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-15})$$ None $$-1$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+q^{8}+\zeta_{6}^{2}q^{16}+\cdots$$
2700.1.c.b $2$ $1.347$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-15})$$ None $$1$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{8}+\zeta_{6}^{2}q^{16}+\cdots$$
2700.1.g.a $1$ $1.347$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-2q^{7}+q^{13}+2q^{19}-q^{31}+q^{37}+\cdots$$
2700.1.g.b $1$ $1.347$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q+q^{7}+q^{13}-q^{19}+2q^{31}+q^{37}+\cdots$$
2700.1.g.c $1$ $1.347$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+2q^{7}-q^{13}+2q^{19}-q^{31}-q^{37}+\cdots$$
2700.1.l.a $4$ $1.347$ $$\Q(i, \sqrt{6})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{7}+\beta _{3}q^{13}-\beta _{2}q^{19}-2q^{31}+\cdots$$
2700.1.l.b $4$ $1.347$ $$\Q(i, \sqrt{6})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{13}+2\beta _{2}q^{19}+q^{31}-\beta _{1}q^{37}+\cdots$$
2700.1.m.a $8$ $1.347$ $$\Q(\zeta_{24})$$ None $$\Q(\sqrt{3})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{9}q^{2}-\zeta_{24}^{6}q^{4}-\zeta_{24}^{3}q^{8}+\cdots$$
2700.1.m.b $8$ $1.347$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{3}q^{8}+\zeta_{24}^{4}q^{16}+\cdots$$
2700.1.t.a $4$ $1.347$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}q^{7}-\zeta_{12}^{3}q^{8}+\cdots$$
2700.1.bb.a $8$ $1.347$ $$\Q(\zeta_{20})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{20}^{3}q^{5}+(-\zeta_{20}+\zeta_{20}^{7})q^{11}+\cdots$$
2700.1.be.a $8$ $1.347$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}+(\zeta_{24}^{3}-\zeta_{24}^{11}+\cdots)q^{7}+\cdots$$
2700.1.bj.a $12$ $1.347$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{36}^{11}q^{2}+\zeta_{36}q^{3}-\zeta_{36}^{4}q^{4}+\cdots$$
2700.1.ca.a $24$ $1.347$ $$\Q(\zeta_{72})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{72}^{29}q^{2}+\zeta_{72}^{19}q^{3}-\zeta_{72}^{22}q^{4}+\cdots$$
2700.2.a.a $1$ $21.560$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-5$$ $-$ $$q-5q^{7}-2q^{13}-q^{19}+11q^{31}-11q^{37}+\cdots$$
2700.2.a.b $1$ $21.560$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-5$$ $+$ $$q-5q^{7}+7q^{13}-q^{19}-4q^{31}+q^{37}+\cdots$$
2700.2.a.c $1$ $21.560$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $-$ $$q-4q^{7}-7q^{13}+8q^{19}-7q^{31}+11q^{37}+\cdots$$
2700.2.a.d $1$ $21.560$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $+$ $$q-2q^{7}-3q^{11}+q^{13}+6q^{17}+2q^{19}+\cdots$$
2700.2.a.e $1$ $21.560$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $+$ $$q-2q^{7}-2q^{11}+6q^{13}-q^{17}-3q^{19}+\cdots$$
2700.2.a.f $1$ $21.560$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $+$ $$q-2q^{7}-2q^{13}-3q^{17}+5q^{19}+3q^{23}+\cdots$$
2700.2.a.g $1$ $21.560$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $-$ $$q-2q^{7}-2q^{13}+3q^{17}+5q^{19}-3q^{23}+\cdots$$
2700.2.a.h $1$ $21.560$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $-$ $$q-2q^{7}+2q^{11}+6q^{13}+q^{17}-3q^{19}+\cdots$$
2700.2.a.i $1$ $21.560$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $-$ $$q-2q^{7}+3q^{11}+q^{13}-6q^{17}+2q^{19}+\cdots$$
2700.2.a.j $1$ $21.560$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $+$ $$q-q^{7}+2q^{13}-7q^{19}-7q^{31}-q^{37}+\cdots$$
2700.2.a.k $1$ $21.560$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $-$ $$q+q^{7}-6q^{11}+q^{13}-q^{19}+6q^{23}+\cdots$$
2700.2.a.l $1$ $21.560$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $+$ $$q+q^{7}-2q^{13}-7q^{19}-7q^{31}+q^{37}+\cdots$$
2700.2.a.m $1$ $21.560$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $-$ $$q+q^{7}+6q^{11}+q^{13}-q^{19}-6q^{23}+\cdots$$
2700.2.a.n $1$ $21.560$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $+$ $$q+2q^{7}-3q^{11}-q^{13}-6q^{17}+2q^{19}+\cdots$$
2700.2.a.o $1$ $21.560$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $-$ $$q+2q^{7}-2q^{11}-6q^{13}+q^{17}-3q^{19}+\cdots$$
2700.2.a.p $1$ $21.560$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $+$ $$q+2q^{7}+2q^{11}-6q^{13}-q^{17}-3q^{19}+\cdots$$
2700.2.a.q $1$ $21.560$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $-$ $$q+2q^{7}+3q^{11}-q^{13}+6q^{17}+2q^{19}+\cdots$$
2700.2.a.r $1$ $21.560$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $+$ $$q+4q^{7}-6q^{11}+4q^{13}-3q^{17}-7q^{19}+\cdots$$
2700.2.a.s $1$ $21.560$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $-$ $$q+4q^{7}+7q^{13}+8q^{19}-7q^{31}-11q^{37}+\cdots$$
2700.2.a.t $1$ $21.560$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $-$ $$q+4q^{7}+6q^{11}+4q^{13}+3q^{17}-7q^{19}+\cdots$$
2700.2.a.u $1$ $21.560$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$5$$ $-$ $$q+5q^{7}+2q^{13}-q^{19}+11q^{31}+11q^{37}+\cdots$$
2700.2.a.v $2$ $21.560$ $$\Q(\sqrt{10})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $+$ $$q-q^{7}-\beta q^{11}-3q^{13}+2\beta q^{17}+3q^{19}+\cdots$$
2700.2.a.w $2$ $21.560$ $$\Q(\sqrt{10})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $-$ $$q+q^{7}-\beta q^{11}+3q^{13}-2\beta q^{17}+3q^{19}+\cdots$$
2700.2.d.a $2$ $21.560$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{7}-6q^{11}-iq^{13}+q^{19}-6iq^{23}+\cdots$$
2700.2.d.b $2$ $21.560$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+4iq^{7}-6q^{11}-4iq^{13}-3iq^{17}+\cdots$$
2700.2.d.c $2$ $21.560$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{7}-3q^{11}+iq^{13}-6iq^{17}+\cdots$$
2700.2.d.d $2$ $21.560$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+4iq^{7}-7iq^{13}-8q^{19}-7q^{31}+\cdots$$
2700.2.d.e $2$ $21.560$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{7}-2iq^{13}+3iq^{17}-5q^{19}+\cdots$$
2700.2.d.f $2$ $21.560$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{7}-2iq^{13}-3iq^{17}-5q^{19}+\cdots$$
2700.2.d.g $2$ $21.560$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+5iq^{7}+7iq^{13}+q^{19}-4q^{31}+\cdots$$
2700.2.d.h $2$ $21.560$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+5iq^{7}-2iq^{13}+q^{19}+11q^{31}+\cdots$$
2700.2.d.i $2$ $21.560$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{7}+2iq^{13}+7q^{19}-7q^{31}+\cdots$$
2700.2.d.j $2$ $21.560$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{7}+3q^{11}+iq^{13}+6iq^{17}+\cdots$$
2700.2.d.k $2$ $21.560$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{7}+6q^{11}-iq^{13}+q^{19}+6iq^{23}+\cdots$$