## Results (1-50 of 112 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3520.1.i.a $1$ $1.757$ $$\Q$$ $$\Q(\sqrt{-11})$$, $$\Q(\sqrt{-55})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$1$$ $$0$$ $-$ $$q+q^{5}+q^{9}-q^{11}+q^{25}+2q^{31}+\cdots$$
3520.1.i.b $1$ $1.757$ $$\Q$$ $$\Q(\sqrt{-11})$$, $$\Q(\sqrt{-55})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$1$$ $$0$$ $-$ $$q+q^{5}+q^{9}+q^{11}+q^{25}-2q^{31}+\cdots$$
3520.1.i.c $2$ $1.757$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$-1$$ $$0$$ $-$ $$q+(\zeta_{6}+\zeta_{6}^{2})q^{3}+\zeta_{6}^{2}q^{5}+(-1-\zeta_{6}+\cdots)q^{9}+\cdots$$
3520.1.i.d $2$ $1.757$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$-1$$ $$0$$ $-$ $$q+(\zeta_{6}+\zeta_{6}^{2})q^{3}-\zeta_{6}q^{5}+(-1-\zeta_{6}+\cdots)q^{9}+\cdots$$
3520.1.i.e $4$ $1.757$ $$\Q(\zeta_{8})$$ None $$\Q(\sqrt{55})$$ $$0$$ $$0$$ $$-4$$ $$0$$ $-$ $$q+(-\zeta_{8}-\zeta_{8}^{3})q^{3}-q^{5}-q^{9}+\zeta_{8}^{2}q^{11}+\cdots$$
3520.1.o.a $2$ $1.757$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-11})$$, $$\Q(\sqrt{-10})$$ $$\Q(\sqrt{110})$$ $$0$$ $$0$$ $$-2$$ $$0$$ $-$ $$q-q^{5}-q^{9}-iq^{11}+iq^{23}+q^{25}+\cdots$$
3520.1.o.b $2$ $1.757$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-11})$$, $$\Q(\sqrt{-10})$$ $$\Q(\sqrt{110})$$ $$0$$ $$0$$ $$2$$ $$0$$ $-$ $$q+q^{5}-q^{9}-iq^{11}-iq^{23}+q^{25}+\cdots$$
3520.1.o.c $4$ $1.757$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $-$ $$q+(\zeta_{12}-\zeta_{12}^{5})q^{3}+\zeta_{12}^{4}q^{5}+(1+\zeta_{12}^{2}+\cdots)q^{9}+\cdots$$
3520.1.o.d $4$ $1.757$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $-$ $$q+(\zeta_{12}-\zeta_{12}^{5})q^{3}-\zeta_{12}^{4}q^{5}+(1+\zeta_{12}^{2}+\cdots)q^{9}+\cdots$$
3520.1.x.a $8$ $1.757$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\zeta_{16}^{2}q^{5}+(\zeta_{16}^{3}+\zeta_{16}^{5})q^{7}-\zeta_{16}^{4}q^{9}+\cdots$$
3520.1.y.a $2$ $1.757$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $-$ $$q+(-1-i)q^{3}+iq^{5}+iq^{9}-iq^{11}+\cdots$$
3520.1.y.b $2$ $1.757$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $-$ $$q+(1+i)q^{3}+iq^{5}+iq^{9}+iq^{11}+\cdots$$
3520.1.y.c $4$ $1.757$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $-$ $$q+(\zeta_{12}^{4}-\zeta_{12}^{5})q^{3}-\zeta_{12}q^{5}+(-\zeta_{12}^{2}+\cdots)q^{9}+\cdots$$
3520.1.y.d $4$ $1.757$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $-$ $$q+(-\zeta_{12}^{4}+\zeta_{12}^{5})q^{3}-\zeta_{12}q^{5}+(-\zeta_{12}^{2}+\cdots)q^{9}+\cdots$$
3520.1.be.a $2$ $1.757$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $-$ $$q+(-1+i)q^{3}+iq^{5}-iq^{9}-q^{11}+\cdots$$
3520.1.be.b $2$ $1.757$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $-$ $$q+(-1+i)q^{3}-iq^{5}-iq^{9}-q^{11}+\cdots$$
3520.1.be.c $2$ $1.757$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $-$ $$q+(1-i)q^{3}-iq^{5}-iq^{9}+q^{11}+(-1+\cdots)q^{15}+\cdots$$
3520.1.be.d $2$ $1.757$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $-$ $$q+(1-i)q^{3}+iq^{5}-iq^{9}+q^{11}+(1+\cdots)q^{15}+\cdots$$
3520.1.be.e $4$ $1.757$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $-$ $$q+(\zeta_{12}-\zeta_{12}^{2})q^{3}-\zeta_{12}q^{5}+(\zeta_{12}^{2}+\cdots)q^{9}+\cdots$$
3520.1.be.f $4$ $1.757$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $-$ $$q+(\zeta_{12}^{4}+\zeta_{12}^{5})q^{3}+\zeta_{12}^{5}q^{5}+(-\zeta_{12}^{2}+\cdots)q^{9}+\cdots$$
3520.1.be.g $4$ $1.757$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $-$ $$q+(-\zeta_{12}^{4}-\zeta_{12}^{5})q^{3}+\zeta_{12}^{5}q^{5}+\cdots$$
3520.1.be.h $4$ $1.757$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $-$ $$q+(-\zeta_{12}+\zeta_{12}^{2})q^{3}-\zeta_{12}q^{5}+(\zeta_{12}^{2}+\cdots)q^{9}+\cdots$$
3520.1.cg.a $8$ $1.757$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $-$ $$q+\zeta_{20}^{8}q^{5}+(\zeta_{20}^{3}+\zeta_{20}^{5})q^{7}+\zeta_{20}^{2}q^{9}+\cdots$$
3520.1.cg.b $8$ $1.757$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $-$ $$q-\zeta_{20}^{8}q^{5}+(\zeta_{20}^{3}+\zeta_{20}^{5})q^{7}+\zeta_{20}^{2}q^{9}+\cdots$$
3520.1.db.a $32$ $1.757$ $$\Q(\zeta_{64})$$ $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\zeta_{64}^{27}q^{2}-\zeta_{64}^{22}q^{4}+\zeta_{64}^{26}q^{5}+\cdots$$
3520.2.a.a $1$ $28.107$ $$\Q$$ None None $$0$$ $$-3$$ $$-1$$ $$1$$ $-$ $$q-3q^{3}-q^{5}+q^{7}+6q^{9}+q^{11}+6q^{13}+\cdots$$
3520.2.a.b $1$ $28.107$ $$\Q$$ None None $$0$$ $$-2$$ $$-1$$ $$0$$ $-$ $$q-2q^{3}-q^{5}+q^{9}-q^{11}-4q^{13}+\cdots$$
3520.2.a.c $1$ $28.107$ $$\Q$$ None None $$0$$ $$-2$$ $$-1$$ $$0$$ $+$ $$q-2q^{3}-q^{5}+q^{9}-q^{11}+2q^{15}+\cdots$$
3520.2.a.d $1$ $28.107$ $$\Q$$ None None $$0$$ $$-2$$ $$-1$$ $$4$$ $-$ $$q-2q^{3}-q^{5}+4q^{7}+q^{9}-q^{11}+4q^{13}+\cdots$$
3520.2.a.e $1$ $28.107$ $$\Q$$ None None $$0$$ $$-2$$ $$-1$$ $$4$$ $+$ $$q-2q^{3}-q^{5}+4q^{7}+q^{9}+q^{11}-4q^{13}+\cdots$$
3520.2.a.f $1$ $28.107$ $$\Q$$ None None $$0$$ $$-2$$ $$1$$ $$-2$$ $+$ $$q-2q^{3}+q^{5}-2q^{7}+q^{9}+q^{11}+2q^{13}+\cdots$$
3520.2.a.g $1$ $28.107$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$-3$$ $+$ $$q-q^{3}-q^{5}-3q^{7}-2q^{9}+q^{11}+2q^{13}+\cdots$$
3520.2.a.h $1$ $28.107$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$-3$$ $+$ $$q-q^{3}-q^{5}-3q^{7}-2q^{9}+q^{11}+6q^{13}+\cdots$$
3520.2.a.i $1$ $28.107$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$-1$$ $-$ $$q-q^{3}-q^{5}-q^{7}-2q^{9}-q^{11}+2q^{13}+\cdots$$
3520.2.a.j $1$ $28.107$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$-3$$ $+$ $$q-q^{3}+q^{5}-3q^{7}-2q^{9}-q^{11}+2q^{13}+\cdots$$
3520.2.a.k $1$ $28.107$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$-1$$ $+$ $$q-q^{3}+q^{5}-q^{7}-2q^{9}+q^{11}-2q^{13}+\cdots$$
3520.2.a.l $1$ $28.107$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$5$$ $-$ $$q-q^{3}+q^{5}+5q^{7}-2q^{9}-q^{11}-2q^{13}+\cdots$$
3520.2.a.m $1$ $28.107$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-4$$ $-$ $$q-q^{5}-4q^{7}-3q^{9}-q^{11}-6q^{13}+\cdots$$
3520.2.a.n $1$ $28.107$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$0$$ $-$ $$q-q^{5}-3q^{9}-q^{11}-2q^{13}+6q^{17}+\cdots$$
3520.2.a.o $1$ $28.107$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$0$$ $+$ $$q-q^{5}-3q^{9}-q^{11}+2q^{13}-2q^{17}+\cdots$$
3520.2.a.p $1$ $28.107$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$0$$ $-$ $$q-q^{5}-3q^{9}+q^{11}-2q^{13}+6q^{17}+\cdots$$
3520.2.a.q $1$ $28.107$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$0$$ $-$ $$q-q^{5}-3q^{9}+q^{11}+2q^{13}-2q^{17}+\cdots$$
3520.2.a.r $1$ $28.107$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$4$$ $-$ $$q-q^{5}+4q^{7}-3q^{9}+q^{11}-6q^{13}+\cdots$$
3520.2.a.s $1$ $28.107$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-2$$ $-$ $$q+q^{5}-2q^{7}-3q^{9}-q^{11}+4q^{13}+\cdots$$
3520.2.a.t $1$ $28.107$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-2$$ $+$ $$q+q^{5}-2q^{7}-3q^{9}+q^{11}+8q^{19}+\cdots$$
3520.2.a.u $1$ $28.107$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$2$$ $+$ $$q+q^{5}+2q^{7}-3q^{9}-q^{11}-8q^{19}+\cdots$$
3520.2.a.v $1$ $28.107$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$2$$ $-$ $$q+q^{5}+2q^{7}-3q^{9}+q^{11}+4q^{13}+\cdots$$
3520.2.a.w $1$ $28.107$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$1$$ $+$ $$q+q^{3}-q^{5}+q^{7}-2q^{9}+q^{11}+2q^{13}+\cdots$$
3520.2.a.x $1$ $28.107$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$3$$ $-$ $$q+q^{3}-q^{5}+3q^{7}-2q^{9}-q^{11}+2q^{13}+\cdots$$
3520.2.a.y $1$ $28.107$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$3$$ $+$ $$q+q^{3}-q^{5}+3q^{7}-2q^{9}-q^{11}+6q^{13}+\cdots$$