## Results (1-50 of 190 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2496.1.b.a $2$ $1.246$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-26})$$ $$\Q(\sqrt{78})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-iq^{7}-q^{9}-q^{13}+2q^{21}+\cdots$$
2496.1.b.b $2$ $1.246$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-26})$$ $$\Q(\sqrt{78})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{3}-iq^{7}-q^{9}+q^{13}-2q^{21}+\cdots$$
2496.1.b.c $4$ $1.246$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-26})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{3}+(\zeta_{12}^{2}+\zeta_{12}^{4})q^{5}-\zeta_{12}^{3}q^{7}+\cdots$$
2496.1.b.d $4$ $1.246$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-26})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{3}+(-\zeta_{12}^{2}-\zeta_{12}^{4})q^{5}+\cdots$$
2496.1.l.a $1$ $1.246$ $$\Q$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-39})$$ $$\Q(\sqrt{13})$$ $$0$$ $$-1$$ $$0$$ $$0$$ $$q-q^{3}+q^{9}+q^{13}-q^{25}-q^{27}-q^{39}+\cdots$$
2496.1.l.b $1$ $1.246$ $$\Q$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-39})$$ $$\Q(\sqrt{13})$$ $$0$$ $$1$$ $$0$$ $$0$$ $$q+q^{3}+q^{9}+q^{13}-q^{25}+q^{27}+q^{39}+\cdots$$
2496.1.l.c $4$ $1.246$ $$\Q(\zeta_{8})$$ None $$\Q(\sqrt{39})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{3}+(-\zeta_{8}+\zeta_{8}^{3})q^{5}+(-\zeta_{8}+\cdots)q^{7}+\cdots$$
2496.1.bd.a $2$ $1.246$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+iq^{3}+(-1-i)q^{7}-q^{9}+iq^{13}+\cdots$$
2496.1.bd.b $2$ $1.246$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q-iq^{3}+(1+i)q^{7}-q^{9}+iq^{13}+(1+\cdots)q^{19}+\cdots$$
2496.1.be.a $2$ $1.246$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$0$$ $$-2$$ $$q-q^{3}+(-1-i)q^{7}+q^{9}+iq^{13}+\cdots$$
2496.1.be.b $2$ $1.246$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$0$$ $$2$$ $$q-q^{3}+(1+i)q^{7}+q^{9}-iq^{13}+(1+\cdots)q^{19}+\cdots$$
2496.1.be.c $2$ $1.246$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$0$$ $$-2$$ $$q+q^{3}+(-1-i)q^{7}+q^{9}-iq^{13}+\cdots$$
2496.1.be.d $2$ $1.246$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$0$$ $$2$$ $$q+q^{3}+(1+i)q^{7}+q^{9}+iq^{13}+(-1+\cdots)q^{19}+\cdots$$
2496.1.bi.a $8$ $1.246$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{2}q^{3}+(-\zeta_{16}+\zeta_{16}^{3})q^{5}+\zeta_{16}^{4}q^{9}+\cdots$$
2496.1.bs.a $2$ $1.246$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-1$$ $$q-\zeta_{6}q^{3}+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}^{2}q^{13}+\cdots$$
2496.1.bs.b $2$ $1.246$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$1$$ $$q+\zeta_{6}q^{3}-\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}^{2}q^{13}+\cdots$$
2496.1.bs.c $8$ $1.246$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{11}q^{3}-\zeta_{24}^{6}q^{5}+(-\zeta_{24}-\zeta_{24}^{7}+\cdots)q^{7}+\cdots$$
2496.1.bw.a $4$ $1.246$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{5}q^{3}+\zeta_{12}q^{7}-\zeta_{12}^{4}q^{9}+\zeta_{12}^{4}q^{13}+\cdots$$
2496.1.bw.b $4$ $1.246$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{5}q^{3}-\zeta_{12}q^{7}-\zeta_{12}^{4}q^{9}-\zeta_{12}^{4}q^{13}+\cdots$$
2496.1.bx.a $4$ $1.246$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{3}+(\zeta_{12}+\zeta_{12}^{3})q^{7}+\zeta_{12}^{2}q^{9}+\cdots$$
2496.1.bx.b $4$ $1.246$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{3}+(-\zeta_{12}-\zeta_{12}^{3})q^{7}+\zeta_{12}^{2}q^{9}+\cdots$$
2496.1.cb.a $2$ $1.246$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-3$$ $$q+\zeta_{6}^{2}q^{3}+(-1+\zeta_{6}^{2})q^{7}-\zeta_{6}q^{9}+\cdots$$
2496.1.cb.b $2$ $1.246$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$3$$ $$q-\zeta_{6}^{2}q^{3}+(1-\zeta_{6}^{2})q^{7}-\zeta_{6}q^{9}-\zeta_{6}q^{13}+\cdots$$
2496.1.de.a $4$ $1.246$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$0$$ $$-4$$ $$q-\zeta_{12}^{2}q^{3}+(-1+\zeta_{12}^{5})q^{7}+\zeta_{12}^{4}q^{9}+\cdots$$
2496.1.de.b $4$ $1.246$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$0$$ $$4$$ $$q-\zeta_{12}^{2}q^{3}+(1-\zeta_{12}^{5})q^{7}+\zeta_{12}^{4}q^{9}+\cdots$$
2496.1.de.c $4$ $1.246$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$0$$ $$-4$$ $$q+\zeta_{12}^{2}q^{3}+(-1+\zeta_{12}^{5})q^{7}+\zeta_{12}^{4}q^{9}+\cdots$$
2496.1.de.d $4$ $1.246$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$0$$ $$4$$ $$q+\zeta_{12}^{2}q^{3}+(1-\zeta_{12}^{5})q^{7}+\zeta_{12}^{4}q^{9}+\cdots$$
2496.1.df.a $4$ $1.246$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-\zeta_{12}q^{3}+(-\zeta_{12}^{3}+\zeta_{12}^{4})q^{7}+\zeta_{12}^{2}q^{9}+\cdots$$
2496.1.df.b $4$ $1.246$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\zeta_{12}q^{3}+(\zeta_{12}^{3}-\zeta_{12}^{4})q^{7}+\zeta_{12}^{2}q^{9}+\cdots$$
2496.1.eh.a $32$ $1.246$ $$\Q(\zeta_{64})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{64}^{27}q^{2}-\zeta_{64}^{26}q^{3}-\zeta_{64}^{22}q^{4}+\cdots$$
2496.2.a.a $1$ $19.931$ $$\Q$$ None None $$0$$ $$-1$$ $$-4$$ $$0$$ $+$ $$q-q^{3}-4q^{5}+q^{9}-2q^{11}+q^{13}+\cdots$$
2496.2.a.b $1$ $19.931$ $$\Q$$ None None $$0$$ $$-1$$ $$-2$$ $$-4$$ $-$ $$q-q^{3}-2q^{5}-4q^{7}+q^{9}-4q^{11}+\cdots$$
2496.2.a.c $1$ $19.931$ $$\Q$$ None None $$0$$ $$-1$$ $$-2$$ $$0$$ $+$ $$q-q^{3}-2q^{5}+q^{9}-q^{13}+2q^{15}+\cdots$$
2496.2.a.d $1$ $19.931$ $$\Q$$ None None $$0$$ $$-1$$ $$-2$$ $$2$$ $-$ $$q-q^{3}-2q^{5}+2q^{7}+q^{9}+2q^{11}+\cdots$$
2496.2.a.e $1$ $19.931$ $$\Q$$ None None $$0$$ $$-1$$ $$-2$$ $$4$$ $-$ $$q-q^{3}-2q^{5}+4q^{7}+q^{9}+4q^{11}+\cdots$$
2496.2.a.f $1$ $19.931$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-2$$ $-$ $$q-q^{3}-2q^{7}+q^{9}+4q^{11}-q^{13}+\cdots$$
2496.2.a.g $1$ $19.931$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$0$$ $-$ $$q-q^{3}+q^{9}-6q^{11}+q^{13}+2q^{17}+\cdots$$
2496.2.a.h $1$ $19.931$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$2$$ $+$ $$q-q^{3}+2q^{7}+q^{9}-q^{13}-6q^{17}+\cdots$$
2496.2.a.i $1$ $19.931$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$2$$ $-$ $$q-q^{3}+2q^{7}+q^{9}-q^{13}+2q^{17}+\cdots$$
2496.2.a.j $1$ $19.931$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$4$$ $+$ $$q-q^{3}+4q^{7}+q^{9}-2q^{11}+q^{13}+\cdots$$
2496.2.a.k $1$ $19.931$ $$\Q$$ None None $$0$$ $$-1$$ $$2$$ $$-4$$ $-$ $$q-q^{3}+2q^{5}-4q^{7}+q^{9}-q^{13}-2q^{15}+\cdots$$
2496.2.a.l $1$ $19.931$ $$\Q$$ None None $$0$$ $$-1$$ $$2$$ $$0$$ $+$ $$q-q^{3}+2q^{5}+q^{9}+4q^{11}-q^{13}+\cdots$$
2496.2.a.m $1$ $19.931$ $$\Q$$ None None $$0$$ $$-1$$ $$2$$ $$2$$ $-$ $$q-q^{3}+2q^{5}+2q^{7}+q^{9}+6q^{11}+\cdots$$
2496.2.a.n $1$ $19.931$ $$\Q$$ None None $$0$$ $$-1$$ $$4$$ $$-4$$ $-$ $$q-q^{3}+4q^{5}-4q^{7}+q^{9}+2q^{11}+\cdots$$
2496.2.a.o $1$ $19.931$ $$\Q$$ None None $$0$$ $$-1$$ $$4$$ $$2$$ $-$ $$q-q^{3}+4q^{5}+2q^{7}+q^{9}-4q^{11}+\cdots$$
2496.2.a.p $1$ $19.931$ $$\Q$$ None None $$0$$ $$1$$ $$-4$$ $$0$$ $+$ $$q+q^{3}-4q^{5}+q^{9}+2q^{11}+q^{13}+\cdots$$
2496.2.a.q $1$ $19.931$ $$\Q$$ None None $$0$$ $$1$$ $$-2$$ $$-4$$ $-$ $$q+q^{3}-2q^{5}-4q^{7}+q^{9}-4q^{11}+\cdots$$
2496.2.a.r $1$ $19.931$ $$\Q$$ None None $$0$$ $$1$$ $$-2$$ $$-2$$ $+$ $$q+q^{3}-2q^{5}-2q^{7}+q^{9}-2q^{11}+\cdots$$
2496.2.a.s $1$ $19.931$ $$\Q$$ None None $$0$$ $$1$$ $$-2$$ $$0$$ $+$ $$q+q^{3}-2q^{5}+q^{9}-q^{13}-2q^{15}+\cdots$$
2496.2.a.t $1$ $19.931$ $$\Q$$ None None $$0$$ $$1$$ $$-2$$ $$4$$ $-$ $$q+q^{3}-2q^{5}+4q^{7}+q^{9}+4q^{11}+\cdots$$