Results (1-50 of 119 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3456.1.b.a $4$ $1.725$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{3}q^{5}+(-\zeta_{12}^{2}-\zeta_{12}^{4})q^{7}+\cdots$$
3456.1.e.a $2$ $1.725$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+\beta q^{5}-q^{7}-\beta q^{11}-q^{13}-\beta q^{17}+\cdots$$
3456.1.e.b $2$ $1.725$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+\beta q^{5}-q^{7}-\beta q^{11}+q^{13}+\beta q^{17}+\cdots$$
3456.1.e.c $2$ $1.725$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q-\beta q^{5}+q^{7}-\beta q^{11}-q^{13}+\beta q^{17}+\cdots$$
3456.1.e.d $2$ $1.725$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q-\beta q^{5}+q^{7}-\beta q^{11}+q^{13}-\beta q^{17}+\cdots$$
3456.1.h.a $2$ $1.725$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{5}-\beta q^{7}-q^{11}+2q^{25}+\beta q^{31}+\cdots$$
3456.1.h.b $2$ $1.725$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{5}-\beta q^{7}+q^{11}+2q^{25}+\beta q^{31}+\cdots$$
3456.1.j.a $4$ $1.725$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{5}+\zeta_{8}^{2}q^{7}+\zeta_{8}q^{11}+(1+\zeta_{8}^{2}+\cdots)q^{13}+\cdots$$
3456.1.j.b $4$ $1.725$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{5}-\zeta_{8}^{2}q^{7}-\zeta_{8}q^{11}+(1+\zeta_{8}^{2}+\cdots)q^{13}+\cdots$$
3456.1.n.a $2$ $1.725$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{11}+(-\zeta_{6}-\zeta_{6}^{2})q^{17}+(-\zeta_{6}+\cdots)q^{19}+\cdots$$
3456.1.n.b $2$ $1.725$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{11}+(-\zeta_{6}-\zeta_{6}^{2})q^{17}+(\zeta_{6}+\cdots)q^{19}+\cdots$$
3456.1.t.a $4$ $1.725$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{12}^{3}-\zeta_{12}^{5})q^{11}-q^{17}+(\zeta_{12}+\cdots)q^{19}+\cdots$$
3456.1.bh.a $12$ $1.725$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{36}q^{3}+\zeta_{36}^{2}q^{9}+(\zeta_{36}^{5}+\zeta_{36}^{15}+\cdots)q^{11}+\cdots$$
3456.1.bn.a $6$ $1.725$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{18}^{4}q^{3}+\zeta_{18}^{8}q^{9}+(\zeta_{18}^{2}+\zeta_{18}^{6}+\cdots)q^{11}+\cdots$$
3456.1.bn.b $6$ $1.725$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}^{4}q^{3}+\zeta_{18}^{8}q^{9}+(-\zeta_{18}^{2}-\zeta_{18}^{6}+\cdots)q^{11}+\cdots$$
3456.2.a.a $1$ $27.596$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$-5$$ $-$ $$q-3q^{5}-5q^{7}-q^{11}-6q^{13}-6q^{17}+\cdots$$
3456.2.a.b $1$ $27.596$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$-5$$ $+$ $$q-3q^{5}-5q^{7}-q^{11}+6q^{13}+6q^{17}+\cdots$$
3456.2.a.c $1$ $27.596$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$5$$ $-$ $$q-3q^{5}+5q^{7}+q^{11}-6q^{13}-6q^{17}+\cdots$$
3456.2.a.d $1$ $27.596$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$5$$ $-$ $$q-3q^{5}+5q^{7}+q^{11}+6q^{13}+6q^{17}+\cdots$$
3456.2.a.e $1$ $27.596$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-1$$ $+$ $$q-q^{5}-q^{7}+q^{11}-2q^{13}+2q^{17}+\cdots$$
3456.2.a.f $1$ $27.596$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-1$$ $+$ $$q-q^{5}-q^{7}+q^{11}+2q^{13}-2q^{17}+\cdots$$
3456.2.a.g $1$ $27.596$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$1$$ $+$ $$q-q^{5}+q^{7}-q^{11}-2q^{13}+2q^{17}+\cdots$$
3456.2.a.h $1$ $27.596$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$1$$ $-$ $$q-q^{5}+q^{7}-q^{11}+2q^{13}-2q^{17}+\cdots$$
3456.2.a.i $1$ $27.596$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-1$$ $+$ $$q+q^{5}-q^{7}-q^{11}-2q^{13}-2q^{17}+\cdots$$
3456.2.a.j $1$ $27.596$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-1$$ $+$ $$q+q^{5}-q^{7}-q^{11}+2q^{13}+2q^{17}+\cdots$$
3456.2.a.k $1$ $27.596$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$1$$ $+$ $$q+q^{5}+q^{7}+q^{11}-2q^{13}-2q^{17}+\cdots$$
3456.2.a.l $1$ $27.596$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$1$$ $-$ $$q+q^{5}+q^{7}+q^{11}+2q^{13}+2q^{17}+\cdots$$
3456.2.a.m $1$ $27.596$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$-5$$ $-$ $$q+3q^{5}-5q^{7}+q^{11}-6q^{13}+6q^{17}+\cdots$$
3456.2.a.n $1$ $27.596$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$-5$$ $+$ $$q+3q^{5}-5q^{7}+q^{11}+6q^{13}-6q^{17}+\cdots$$
3456.2.a.o $1$ $27.596$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$5$$ $-$ $$q+3q^{5}+5q^{7}-q^{11}-6q^{13}+6q^{17}+\cdots$$
3456.2.a.p $1$ $27.596$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$5$$ $-$ $$q+3q^{5}+5q^{7}-q^{11}+6q^{13}-6q^{17}+\cdots$$
3456.2.a.q $2$ $27.596$ $$\Q(\sqrt{6})$$ None None $$0$$ $$0$$ $$-2$$ $$-2$$ $-$ $$q+(-1+\beta )q^{5}+(-1-\beta )q^{7}+(1+2\beta )q^{11}+\cdots$$
3456.2.a.r $2$ $27.596$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$-2$$ $$-2$$ $-$ $$q+(-1+\beta )q^{5}+(-1+2\beta )q^{7}+(1-\beta )q^{11}+\cdots$$
3456.2.a.s $2$ $27.596$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$-2$$ $$-2$$ $+$ $$q+(-1+\beta )q^{5}+(-1+2\beta )q^{7}+(1-\beta )q^{11}+\cdots$$
3456.2.a.t $2$ $27.596$ $$\Q(\sqrt{6})$$ None None $$0$$ $$0$$ $$-2$$ $$-2$$ $-$ $$q+(-1+\beta )q^{5}+(-1-\beta )q^{7}+(1+2\beta )q^{11}+\cdots$$
3456.2.a.u $2$ $27.596$ $$\Q(\sqrt{7})$$ None None $$0$$ $$0$$ $$-2$$ $$-2$$ $+$ $$q+(-1+\beta )q^{5}-q^{7}+(3+\beta )q^{11}+(-1+\cdots)q^{13}+\cdots$$
3456.2.a.v $2$ $27.596$ $$\Q(\sqrt{7})$$ None None $$0$$ $$0$$ $$-2$$ $$-2$$ $-$ $$q+(-1+\beta )q^{5}-q^{7}+(3+\beta )q^{11}+(1+\cdots)q^{13}+\cdots$$
3456.2.a.w $2$ $27.596$ $$\Q(\sqrt{7})$$ None None $$0$$ $$0$$ $$-2$$ $$2$$ $+$ $$q+(-1+\beta )q^{5}+q^{7}+(-3-\beta )q^{11}+\cdots$$
3456.2.a.x $2$ $27.596$ $$\Q(\sqrt{7})$$ None None $$0$$ $$0$$ $$-2$$ $$2$$ $+$ $$q+(-1+\beta )q^{5}+q^{7}+(-3-\beta )q^{11}+\cdots$$
3456.2.a.y $2$ $27.596$ $$\Q(\sqrt{6})$$ None None $$0$$ $$0$$ $$-2$$ $$2$$ $+$ $$q+(-1+\beta )q^{5}+(1+\beta )q^{7}+(-1-2\beta )q^{11}+\cdots$$
3456.2.a.z $2$ $27.596$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$-2$$ $$2$$ $+$ $$q+(-1+\beta )q^{5}+(1-2\beta )q^{7}+(-1+\beta )q^{11}+\cdots$$
3456.2.a.ba $2$ $27.596$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$-2$$ $$2$$ $+$ $$q+(-1+\beta )q^{5}+(1-2\beta )q^{7}+(-1+\beta )q^{11}+\cdots$$
3456.2.a.bb $2$ $27.596$ $$\Q(\sqrt{6})$$ None None $$0$$ $$0$$ $$-2$$ $$2$$ $-$ $$q+(-1+\beta )q^{5}+(1+\beta )q^{7}+(-1-2\beta )q^{11}+\cdots$$
3456.2.a.bc $2$ $27.596$ $$\Q(\sqrt{7})$$ None None $$0$$ $$0$$ $$2$$ $$-2$$ $-$ $$q+(1+\beta )q^{5}-q^{7}+(-3+\beta )q^{11}+(-1+\cdots)q^{13}+\cdots$$
3456.2.a.bd $2$ $27.596$ $$\Q(\sqrt{7})$$ None None $$0$$ $$0$$ $$2$$ $$-2$$ $+$ $$q+(1+\beta )q^{5}-q^{7}+(-3+\beta )q^{11}+(1+\cdots)q^{13}+\cdots$$
3456.2.a.be $2$ $27.596$ $$\Q(\sqrt{6})$$ None None $$0$$ $$0$$ $$2$$ $$-2$$ $-$ $$q+(1+\beta )q^{5}+(-1+\beta )q^{7}+(-1+2\beta )q^{11}+\cdots$$
3456.2.a.bf $2$ $27.596$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$2$$ $$-2$$ $+$ $$q+(1+\beta )q^{5}+(-1-2\beta )q^{7}+(-1-\beta )q^{11}+\cdots$$
3456.2.a.bg $2$ $27.596$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$2$$ $$-2$$ $-$ $$q+(1+\beta )q^{5}+(-1-2\beta )q^{7}+(-1-\beta )q^{11}+\cdots$$
3456.2.a.bh $2$ $27.596$ $$\Q(\sqrt{6})$$ None None $$0$$ $$0$$ $$2$$ $$-2$$ $-$ $$q+(1+\beta )q^{5}+(-1+\beta )q^{7}+(-1+2\beta )q^{11}+\cdots$$
3456.2.a.bi $2$ $27.596$ $$\Q(\sqrt{6})$$ None None $$0$$ $$0$$ $$2$$ $$2$$ $+$ $$q+(1+\beta )q^{5}+(1-\beta )q^{7}+(1-2\beta )q^{11}+\cdots$$