## Results (1-50 of 172 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
405.1.h.a $2$ $0.202$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-15})$$ None $$-1$$ $$0$$ $$1$$ $$0$$ $$q-\zeta_{6}q^{2}-\zeta_{6}^{2}q^{5}-q^{8}-q^{10}+\zeta_{6}q^{16}+\cdots$$
405.1.h.b $2$ $0.202$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-15})$$ None $$1$$ $$0$$ $$-1$$ $$0$$ $$q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{5}+q^{8}-q^{10}+\zeta_{6}q^{16}+\cdots$$
405.2.a.a $1$ $3.234$ $$\Q$$ None None $$-2$$ $$0$$ $$-1$$ $$0$$ $+$ $$q-2q^{2}+2q^{4}-q^{5}+2q^{10}-5q^{11}+\cdots$$
405.2.a.b $1$ $3.234$ $$\Q$$ None None $$-1$$ $$0$$ $$1$$ $$-3$$ $+$ $$q-q^{2}-q^{4}+q^{5}-3q^{7}+3q^{8}-q^{10}+\cdots$$
405.2.a.c $1$ $3.234$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$2$$ $+$ $$q-2q^{4}-q^{5}+2q^{7}-3q^{11}-4q^{13}+\cdots$$
405.2.a.d $1$ $3.234$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$2$$ $-$ $$q-2q^{4}+q^{5}+2q^{7}+3q^{11}-4q^{13}+\cdots$$
405.2.a.e $1$ $3.234$ $$\Q$$ None None $$1$$ $$0$$ $$-1$$ $$-3$$ $+$ $$q+q^{2}-q^{4}-q^{5}-3q^{7}-3q^{8}-q^{10}+\cdots$$
405.2.a.f $1$ $3.234$ $$\Q$$ None None $$2$$ $$0$$ $$1$$ $$0$$ $-$ $$q+2q^{2}+2q^{4}+q^{5}+2q^{10}+5q^{11}+\cdots$$
405.2.a.g $2$ $3.234$ $$\Q(\sqrt{3})$$ None None $$-2$$ $$0$$ $$2$$ $$-6$$ $+$ $$q+(-1+\beta )q^{2}+(2-2\beta )q^{4}+q^{5}+(-3+\cdots)q^{7}+\cdots$$
405.2.a.h $2$ $3.234$ $$\Q(\sqrt{3})$$ None None $$2$$ $$0$$ $$-2$$ $$-6$$ $-$ $$q+(1+\beta )q^{2}+(2+2\beta )q^{4}-q^{5}+(-3+\cdots)q^{7}+\cdots$$
405.2.a.i $3$ $3.234$ 3.3.564.1 None None $$-1$$ $$0$$ $$-3$$ $$5$$ $-$ $$q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}-q^{5}+(2-\beta _{1}+\cdots)q^{7}+\cdots$$
405.2.a.j $3$ $3.234$ 3.3.564.1 None None $$1$$ $$0$$ $$3$$ $$5$$ $-$ $$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+q^{5}+(2-\beta _{1}+\cdots)q^{7}+\cdots$$
405.2.b.a $4$ $3.234$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None None $$0$$ $$0$$ $$-3$$ $$0$$ $$q-\beta _{2}q^{2}+(-2+\beta _{1}+\beta _{3})q^{4}+(-1+\cdots)q^{5}+\cdots$$
405.2.b.b $4$ $3.234$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None None $$0$$ $$0$$ $$3$$ $$0$$ $$q-\beta _{2}q^{2}+(-2+\beta _{1}+\beta _{3})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots$$
405.2.b.c $4$ $3.234$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{4}+(\beta _{1}+\beta _{2}-\beta _{3})q^{5}+\cdots$$
405.2.b.d $4$ $3.234$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{4}+(\beta _{1}-\beta _{2}-\beta _{3})q^{5}+\cdots$$
405.2.b.e $4$ $3.234$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{5}+\beta _{3}q^{7}-2\beta _{1}q^{8}+\cdots$$
405.2.e.a $2$ $3.234$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$0$$ $$-1$$ $$0$$ $$q+(-2+2\zeta_{6})q^{2}-2\zeta_{6}q^{4}-\zeta_{6}q^{5}+\cdots$$
405.2.e.b $2$ $3.234$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$0$$ $$-1$$ $$3$$ $$q+(-2+2\zeta_{6})q^{2}-2\zeta_{6}q^{4}-\zeta_{6}q^{5}+\cdots$$
405.2.e.c $2$ $3.234$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$0$$ $$1$$ $$0$$ $$q+(-1+\zeta_{6})q^{2}+\zeta_{6}q^{4}+\zeta_{6}q^{5}-3q^{8}+\cdots$$
405.2.e.d $2$ $3.234$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-1$$ $$-2$$ $$q+2\zeta_{6}q^{4}-\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}+\cdots$$
405.2.e.e $2$ $3.234$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$1$$ $$-2$$ $$q+2\zeta_{6}q^{4}+\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}+\cdots$$
405.2.e.f $2$ $3.234$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$0$$ $$-1$$ $$0$$ $$q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{4}-\zeta_{6}q^{5}+3q^{8}+\cdots$$
405.2.e.g $2$ $3.234$ $$\Q(\sqrt{-3})$$ None None $$2$$ $$0$$ $$1$$ $$0$$ $$q+(2-2\zeta_{6})q^{2}-2\zeta_{6}q^{4}+\zeta_{6}q^{5}+2q^{10}+\cdots$$
405.2.e.h $2$ $3.234$ $$\Q(\sqrt{-3})$$ None None $$2$$ $$0$$ $$1$$ $$3$$ $$q+(2-2\zeta_{6})q^{2}-2\zeta_{6}q^{4}+\zeta_{6}q^{5}+(3+\cdots)q^{7}+\cdots$$
405.2.e.i $4$ $3.234$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$0$$ $$2$$ $$6$$ $$q+(-\zeta_{12}+\zeta_{12}^{2})q^{2}+(-2+2\zeta_{12}+\cdots)q^{4}+\cdots$$
405.2.e.j $4$ $3.234$ $$\Q(\sqrt{-3}, \sqrt{13})$$ None None $$-1$$ $$0$$ $$2$$ $$-2$$ $$q-\beta _{1}q^{2}+(-1+\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots$$
405.2.e.k $4$ $3.234$ $$\Q(\sqrt{-3}, \sqrt{13})$$ None None $$1$$ $$0$$ $$-2$$ $$-2$$ $$q+\beta _{1}q^{2}+(-1+\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots$$
405.2.e.l $4$ $3.234$ $$\Q(\zeta_{12})$$ None None $$2$$ $$0$$ $$-2$$ $$6$$ $$q+(\zeta_{12}-\zeta_{12}^{2})q^{2}+(-2+2\zeta_{12}-2\zeta_{12}^{2}+\cdots)q^{4}+\cdots$$
405.2.f.a $16$ $3.234$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$q+\beta _{3}q^{2}+(\beta _{6}-\beta _{14})q^{4}-\beta _{4}q^{5}+\beta _{10}q^{7}+\cdots$$
405.2.f.b $24$ $3.234$ None None $$0$$ $$0$$ $$0$$ $$0$$
405.2.j.a $4$ $3.234$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None None $$-3$$ $$0$$ $$-6$$ $$-12$$ $$q+(-1-\beta _{3})q^{2}+(2-\beta _{1}-\beta _{2}+2\beta _{3})q^{4}+\cdots$$
405.2.j.b $4$ $3.234$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None None $$-3$$ $$0$$ $$-3$$ $$12$$ $$q+(-1-\beta _{3})q^{2}+(2-\beta _{1}-\beta _{2}+2\beta _{3})q^{4}+\cdots$$
405.2.j.c $4$ $3.234$ $$\Q(\sqrt{-3}, \sqrt{-5})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+3\beta _{2}q^{4}+(\beta _{1}-\beta _{3})q^{5}+\beta _{3}q^{8}+\cdots$$
405.2.j.d $4$ $3.234$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None None $$3$$ $$0$$ $$3$$ $$12$$ $$q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots$$
405.2.j.e $4$ $3.234$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None None $$3$$ $$0$$ $$6$$ $$-12$$ $$q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots$$
405.2.j.f $8$ $3.234$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{6}q^{2}-\zeta_{24}^{4}q^{5}-\zeta_{24}q^{7}+(2\zeta_{24}^{5}+\cdots)q^{8}+\cdots$$
405.2.j.g $8$ $3.234$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{5}q^{2}+(\zeta_{24}^{2}+\zeta_{24}^{3})q^{5}+\zeta_{24}^{6}q^{7}+\cdots$$
405.2.j.h $8$ $3.234$ 8.0.12960000.1 $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+(2-\beta _{3}+2\beta _{5}+\beta _{6})q^{4}+\cdots$$
405.2.k.a $30$ $3.234$ None None $$0$$ $$0$$ $$0$$ $$0$$
405.2.k.b $42$ $3.234$ None None $$0$$ $$0$$ $$0$$ $$0$$
405.2.m.a $8$ $3.234$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$8$$ $$q+\zeta_{24}^{7}q^{2}+\zeta_{24}^{2}q^{4}+(-\zeta_{24}^{3}+2\zeta_{24}^{5}+\cdots)q^{5}+\cdots$$
405.2.m.b $16$ $3.234$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q+(\beta _{9}-\beta _{10})q^{2}+(-2\beta _{1}-\beta _{13}-\beta _{14}+\cdots)q^{4}+\cdots$$
405.2.m.c $16$ $3.234$ 16.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\beta _{10}q^{2}+(-\beta _{9}-\beta _{15})q^{4}+(-\beta _{7}+\cdots)q^{5}+\cdots$$
405.2.m.d $24$ $3.234$ None None $$0$$ $$0$$ $$0$$ $$-12$$
405.2.m.e $24$ $3.234$ None None $$0$$ $$0$$ $$0$$ $$12$$
405.2.p.a $96$ $3.234$ None None $$0$$ $$0$$ $$9$$ $$0$$
405.2.q.a $306$ $3.234$ None None $$0$$ $$0$$ $$0$$ $$0$$
405.2.q.b $342$ $3.234$ None None $$0$$ $$0$$ $$0$$ $$0$$
405.2.r.a $192$ $3.234$ None None $$12$$ $$0$$ $$12$$ $$-12$$