Results (1-50 of 102 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
3136.1.c.a $$4$$ $$1.565$$ 4.0.2048.2 $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{5}+q^{9}-\beta _{1}q^{13}-\beta _{1}q^{17}+\cdots$$
3136.1.d.a $$1$$ $$1.565$$ $$\Q$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-7})$$ $$\Q(\sqrt{7})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+q^{9}-q^{25}+2q^{29}+2q^{37}-2q^{53}+\cdots$$
3136.1.d.b $$2$$ $$1.565$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{3}-q^{5}-iq^{11}-iq^{15}+q^{17}+\cdots$$
3136.1.d.c $$2$$ $$1.565$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{5}+q^{9}+\beta q^{13}-\beta q^{17}+q^{25}+\cdots$$
3136.1.d.d $$2$$ $$1.565$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q-iq^{3}+q^{5}-iq^{11}-iq^{15}-q^{17}+\cdots$$
3136.1.g.a $$4$$ $$1.565$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{8}+\zeta_{8}^{3})q^{3}+(-\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots$$
3136.1.h.a $$8$$ $$1.565$$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{16}^{3}-\zeta_{16}^{5})q^{3}+(1-\zeta_{16}^{2}+\zeta_{16}^{6}+\cdots)q^{9}+\cdots$$
3136.1.k.a $$2$$ $$1.565$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{9}+(-1+i)q^{11}+q^{23}-iq^{25}+\cdots$$
3136.1.n.a $$16$$ $$1.565$$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{48}^{17}-\zeta_{48}^{23})q^{3}+(-\zeta_{48}^{10}+\cdots)q^{9}+\cdots$$
3136.1.o.a $$8$$ $$1.565$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{24}^{5}+\zeta_{24}^{11})q^{3}+(-\zeta_{24}+\zeta_{24}^{7}+\cdots)q^{5}+\cdots$$
3136.1.r.a $$2$$ $$1.565$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-7})$$ $$\Q(\sqrt{7})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{25}+q^{29}-\zeta_{6}q^{37}+\cdots$$
3136.1.r.b $$4$$ $$1.565$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\zeta_{12}^{5}q^{3}+\zeta_{12}^{4}q^{5}+\zeta_{12}^{5}q^{11}+\cdots$$
3136.1.r.c $$4$$ $$1.565$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}+\beta _{3})q^{5}+\beta _{2}q^{9}+\beta _{3}q^{13}-\beta _{1}q^{17}+\cdots$$
3136.1.s.a $$8$$ $$1.565$$ 8.0.339738624.1 $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{5}q^{5}+\beta _{4}q^{9}+\beta _{7}q^{13}+\beta _{3}q^{17}+\cdots$$
3136.1.z.a $$4$$ $$1.565$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{9}+(\zeta_{12}^{2}+\zeta_{12}^{5})q^{11}+\zeta_{12}^{4}q^{23}+\cdots$$
3136.1.bc.a $$4$$ $$1.565$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{9}+(-\zeta_{12}+\zeta_{12}^{4})q^{11}+\cdots$$
3136.1.bm.a $$8$$ $$1.565$$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{3}q^{2}+\zeta_{16}^{6}q^{4}-\zeta_{16}q^{8}-\zeta_{16}q^{9}+\cdots$$
3136.1.ce.a $$16$$ $$1.565$$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{48}^{11}q^{2}+\zeta_{48}^{22}q^{4}+\zeta_{48}^{9}q^{8}+\cdots$$
3136.1.cf.a $$16$$ $$1.565$$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{48}^{13}q^{2}-\zeta_{48}^{2}q^{4}-\zeta_{48}^{15}q^{8}+\cdots$$
3136.2.a.a $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$-3$$ $$-1$$ $$0$$ $$+$$ $$q-3q^{3}-q^{5}+6q^{9}-q^{11}+2q^{13}+\cdots$$
3136.2.a.b $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$-3$$ $$1$$ $$0$$ $$+$$ $$q-3q^{3}+q^{5}+6q^{9}+q^{11}-2q^{13}+\cdots$$
3136.2.a.c $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$-2$$ $$-4$$ $$0$$ $$+$$ $$q-2q^{3}-4q^{5}+q^{9}+8q^{15}+2q^{17}+\cdots$$
3136.2.a.d $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$-2$$ $$-2$$ $$0$$ $$-$$ $$q-2q^{3}-2q^{5}+q^{9}-4q^{11}-6q^{13}+\cdots$$
3136.2.a.e $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$-$$ $$q-2q^{3}+q^{9}-4q^{13}-6q^{17}+2q^{19}+\cdots$$
3136.2.a.f $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$+$$ $$q-2q^{3}+q^{9}+4q^{11}-4q^{13}+2q^{17}+\cdots$$
3136.2.a.g $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$-2$$ $$2$$ $$0$$ $$-$$ $$q-2q^{3}+2q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots$$
3136.2.a.h $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$-1$$ $$-3$$ $$0$$ $$+$$ $$q-q^{3}-3q^{5}-2q^{9}+3q^{11}-2q^{13}+\cdots$$
3136.2.a.i $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$0$$ $$-$$ $$q-q^{3}-q^{5}-2q^{9}-3q^{11}-6q^{13}+\cdots$$
3136.2.a.j $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $$-$$ $$q-q^{3}+q^{5}-2q^{9}+3q^{11}+6q^{13}+\cdots$$
3136.2.a.k $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$-1$$ $$3$$ $$0$$ $$+$$ $$q-q^{3}+3q^{5}-2q^{9}-3q^{11}+2q^{13}+\cdots$$
3136.2.a.l $$1$$ $$25.041$$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$+$$ $$q-4q^{5}-3q^{9}+4q^{13}+8q^{17}+11q^{25}+\cdots$$
3136.2.a.m $$1$$ $$25.041$$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$+$$ $$q-2q^{5}-3q^{9}+6q^{13}-2q^{17}-q^{25}+\cdots$$
3136.2.a.n $$1$$ $$25.041$$ $$\Q$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q-3q^{9}-4q^{11}+8q^{23}-5q^{25}-2q^{29}+\cdots$$
3136.2.a.o $$1$$ $$25.041$$ $$\Q$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q-3q^{9}+4q^{11}-8q^{23}-5q^{25}-2q^{29}+\cdots$$
3136.2.a.p $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$+$$ $$q+2q^{5}-3q^{9}-4q^{11}+2q^{13}+6q^{17}+\cdots$$
3136.2.a.q $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$-$$ $$q+2q^{5}-3q^{9}+4q^{11}+2q^{13}+6q^{17}+\cdots$$
3136.2.a.r $$1$$ $$25.041$$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$+$$ $$q+4q^{5}-3q^{9}-4q^{13}-8q^{17}+11q^{25}+\cdots$$
3136.2.a.s $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$1$$ $$-3$$ $$0$$ $$-$$ $$q+q^{3}-3q^{5}-2q^{9}-3q^{11}-2q^{13}+\cdots$$
3136.2.a.t $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $$+$$ $$q+q^{3}-q^{5}-2q^{9}+3q^{11}-6q^{13}+\cdots$$
3136.2.a.u $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$0$$ $$+$$ $$q+q^{3}+q^{5}-2q^{9}-3q^{11}+6q^{13}+\cdots$$
3136.2.a.v $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$1$$ $$3$$ $$0$$ $$-$$ $$q+q^{3}+3q^{5}-2q^{9}+3q^{11}+2q^{13}+\cdots$$
3136.2.a.w $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$2$$ $$-4$$ $$0$$ $$-$$ $$q+2q^{3}-4q^{5}+q^{9}-8q^{15}+2q^{17}+\cdots$$
3136.2.a.x $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$2$$ $$-2$$ $$0$$ $$-$$ $$q+2q^{3}-2q^{5}+q^{9}+4q^{11}-6q^{13}+\cdots$$
3136.2.a.y $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$+$$ $$q+2q^{3}+q^{9}-4q^{11}-4q^{13}+2q^{17}+\cdots$$
3136.2.a.z $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$+$$ $$q+2q^{3}+q^{9}-4q^{13}-6q^{17}-2q^{19}+\cdots$$
3136.2.a.ba $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$2$$ $$2$$ $$0$$ $$-$$ $$q+2q^{3}+2q^{5}+q^{9}-4q^{11}+6q^{13}+\cdots$$
3136.2.a.bb $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$3$$ $$-1$$ $$0$$ $$-$$ $$q+3q^{3}-q^{5}+6q^{9}+q^{11}+2q^{13}+\cdots$$
3136.2.a.bc $$1$$ $$25.041$$ $$\Q$$ None None $$0$$ $$3$$ $$1$$ $$0$$ $$-$$ $$q+3q^{3}+q^{5}+6q^{9}-q^{11}-2q^{13}+\cdots$$
3136.2.a.bd $$2$$ $$25.041$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$-2$$ $$0$$ $$+$$ $$q+(-1+\beta )q^{3}+(-1+2\beta )q^{5}-2\beta q^{9}+\cdots$$
3136.2.a.be $$2$$ $$25.041$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$2$$ $$0$$ $$-$$ $$q+(-1+\beta )q^{3}+(1-2\beta )q^{5}-2\beta q^{9}+\cdots$$