## Results (1-50 of 221 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
2100.1.m.a $$1$$ $$1.048$$ $$\Q$$ $$\Q(\sqrt{-5})$$, $$\Q(\sqrt{-21})$$ $$\Q(\sqrt{105})$$ $$-1$$ $$-1$$ $$0$$ $$1$$ $$q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots$$
2100.1.m.b $$1$$ $$1.048$$ $$\Q$$ $$\Q(\sqrt{-5})$$, $$\Q(\sqrt{-21})$$ $$\Q(\sqrt{105})$$ $$-1$$ $$1$$ $$0$$ $$-1$$ $$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots$$
2100.1.m.c $$1$$ $$1.048$$ $$\Q$$ $$\Q(\sqrt{-5})$$, $$\Q(\sqrt{-21})$$ $$\Q(\sqrt{105})$$ $$1$$ $$-1$$ $$0$$ $$1$$ $$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots$$
2100.1.m.d $$1$$ $$1.048$$ $$\Q$$ $$\Q(\sqrt{-5})$$, $$\Q(\sqrt{-21})$$ $$\Q(\sqrt{105})$$ $$1$$ $$1$$ $$0$$ $$-1$$ $$q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots$$
2100.1.u.a $$8$$ $$1.048$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{9}q^{3}-\zeta_{24}^{7}q^{7}-\zeta_{24}^{6}q^{9}+\cdots$$
2100.1.u.b $$8$$ $$1.048$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}q^{3}+\zeta_{24}^{3}q^{7}+\zeta_{24}^{2}q^{9}+(-\zeta_{24}^{4}+\cdots)q^{11}+\cdots$$
2100.1.ba.a $$2$$ $$1.048$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$-1$$ $$-2$$ $$0$$ $$-1$$ $$q+\zeta_{6}^{2}q^{2}-q^{3}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{6}+\cdots$$
2100.1.ba.b $$2$$ $$1.048$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$-1$$ $$-1$$ $$0$$ $$1$$ $$q+\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{6}+\cdots$$
2100.1.ba.c $$2$$ $$1.048$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$1$$ $$1$$ $$0$$ $$-1$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{6}+\cdots$$
2100.1.ba.d $$2$$ $$1.048$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$1$$ $$2$$ $$0$$ $$1$$ $$q-\zeta_{6}^{2}q^{2}+q^{3}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{6}+\cdots$$
2100.1.bh.a $$4$$ $$1.048$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{3}+\zeta_{12}^{5}q^{7}+\zeta_{12}^{2}q^{9}-\zeta_{12}^{3}q^{13}+\cdots$$
2100.1.bh.b $$4$$ $$1.048$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{3}-\zeta_{12}^{3}q^{7}+\zeta_{12}^{2}q^{9}+\zeta_{12}^{3}q^{13}+\cdots$$
2100.1.bn.a $$2$$ $$1.048$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$2$$ $$q+\zeta_{6}^{2}q^{3}+q^{7}-\zeta_{6}q^{9}+q^{13}-\zeta_{6}q^{19}+\cdots$$
2100.1.bn.b $$2$$ $$1.048$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$-2$$ $$q-\zeta_{6}^{2}q^{3}-q^{7}-\zeta_{6}q^{9}-q^{13}-\zeta_{6}q^{19}+\cdots$$
2100.1.bn.c $$2$$ $$1.048$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$1$$ $$q-\zeta_{6}^{2}q^{3}+\zeta_{6}q^{7}-\zeta_{6}q^{9}+q^{13}+\cdots$$
2100.1.bq.a $$8$$ $$1.048$$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-21})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\zeta_{20}^{7}q^{2}+\zeta_{20}^{9}q^{3}-\zeta_{20}^{4}q^{4}+\cdots$$
2100.1.bq.b $$8$$ $$1.048$$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-21})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+\zeta_{20}^{7}q^{2}-\zeta_{20}^{9}q^{3}-\zeta_{20}^{4}q^{4}+\cdots$$
2100.1.bs.a $$4$$ $$1.048$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-21})$$ None $$-1$$ $$-1$$ $$-1$$ $$4$$ $$q-\zeta_{10}^{3}q^{2}-\zeta_{10}q^{3}-\zeta_{10}q^{4}-\zeta_{10}q^{5}+\cdots$$
2100.1.bs.b $$4$$ $$1.048$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-21})$$ None $$-1$$ $$1$$ $$1$$ $$-4$$ $$q-\zeta_{10}^{3}q^{2}+\zeta_{10}q^{3}-\zeta_{10}q^{4}+\zeta_{10}q^{5}+\cdots$$
2100.1.bs.c $$4$$ $$1.048$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-21})$$ None $$1$$ $$-1$$ $$1$$ $$4$$ $$q+\zeta_{10}^{3}q^{2}-\zeta_{10}q^{3}-\zeta_{10}q^{4}+\zeta_{10}q^{5}+\cdots$$
2100.1.bs.d $$4$$ $$1.048$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-21})$$ None $$1$$ $$1$$ $$-1$$ $$-4$$ $$q+\zeta_{10}^{3}q^{2}+\zeta_{10}q^{3}-\zeta_{10}q^{4}-\zeta_{10}q^{5}+\cdots$$
2100.1.cf.a $$8$$ $$1.048$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}q^{2}+\zeta_{24}^{3}q^{3}+\zeta_{24}^{2}q^{4}+\zeta_{24}^{4}q^{6}+\cdots$$
2100.1.cf.b $$8$$ $$1.048$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}q^{2}-\zeta_{24}^{7}q^{3}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{8}q^{6}+\cdots$$
2100.1.cj.a $$8$$ $$1.048$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}q^{3}+\zeta_{24}^{3}q^{7}+\zeta_{24}^{2}q^{9}+\zeta_{24}^{9}q^{13}+\cdots$$
2100.1.cj.b $$8$$ $$1.048$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}q^{3}-\zeta_{24}^{11}q^{7}+\zeta_{24}^{2}q^{9}+\cdots$$
2100.2.a.a $$1$$ $$16.769$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-1$$ $$-$$ $$q-q^{3}-q^{7}+q^{9}-6q^{11}-2q^{13}+\cdots$$
2100.2.a.b $$1$$ $$16.769$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-1$$ $$-$$ $$q-q^{3}-q^{7}+q^{9}-3q^{11}+4q^{13}+\cdots$$
2100.2.a.c $$1$$ $$16.769$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-1$$ $$+$$ $$q-q^{3}-q^{7}+q^{9}-q^{11}-2q^{13}+6q^{19}+\cdots$$
2100.2.a.d $$1$$ $$16.769$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-1$$ $$-$$ $$q-q^{3}-q^{7}+q^{9}+6q^{11}+4q^{13}+\cdots$$
2100.2.a.e $$1$$ $$16.769$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$1$$ $$-$$ $$q-q^{3}+q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots$$
2100.2.a.f $$1$$ $$16.769$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$1$$ $$+$$ $$q-q^{3}+q^{7}+q^{9}-q^{11}+2q^{13}-8q^{17}+\cdots$$
2100.2.a.g $$1$$ $$16.769$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$1$$ $$-$$ $$q-q^{3}+q^{7}+q^{9}+q^{11}+4q^{13}+2q^{17}+\cdots$$
2100.2.a.h $$1$$ $$16.769$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$1$$ $$+$$ $$q-q^{3}+q^{7}+q^{9}+2q^{11}-4q^{13}+\cdots$$
2100.2.a.i $$1$$ $$16.769$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$1$$ $$-$$ $$q-q^{3}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$$
2100.2.a.j $$1$$ $$16.769$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-1$$ $$-$$ $$q+q^{3}-q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots$$
2100.2.a.k $$1$$ $$16.769$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-1$$ $$+$$ $$q+q^{3}-q^{7}+q^{9}-2q^{11}-4q^{13}+\cdots$$
2100.2.a.l $$1$$ $$16.769$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-1$$ $$-$$ $$q+q^{3}-q^{7}+q^{9}-q^{11}-2q^{13}+8q^{17}+\cdots$$
2100.2.a.m $$1$$ $$16.769$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-1$$ $$+$$ $$q+q^{3}-q^{7}+q^{9}+q^{11}-4q^{13}-2q^{17}+\cdots$$
2100.2.a.n $$1$$ $$16.769$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-1$$ $$-$$ $$q+q^{3}-q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots$$
2100.2.a.o $$1$$ $$16.769$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$1$$ $$+$$ $$q+q^{3}+q^{7}+q^{9}-3q^{11}-4q^{13}+\cdots$$
2100.2.a.p $$1$$ $$16.769$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$1$$ $$-$$ $$q+q^{3}+q^{7}+q^{9}-q^{11}+2q^{13}+6q^{19}+\cdots$$
2100.2.a.q $$1$$ $$16.769$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$1$$ $$-$$ $$q+q^{3}+q^{7}+q^{9}+2q^{11}-4q^{13}+\cdots$$
2100.2.a.r $$1$$ $$16.769$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$1$$ $$-$$ $$q+q^{3}+q^{7}+q^{9}+2q^{11}+6q^{13}+\cdots$$
2100.2.d.a $$2$$ $$16.769$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$0$$ $$-4$$ $$q+(-1-\zeta_{6})q^{3}+(-3+2\zeta_{6})q^{7}+3\zeta_{6}q^{9}+\cdots$$
2100.2.d.b $$2$$ $$16.769$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-\zeta_{6}q^{3}+(-2-\zeta_{6})q^{7}-3q^{9}+4\zeta_{6}q^{13}+\cdots$$
2100.2.d.c $$2$$ $$16.769$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q+(-1+2\zeta_{6})q^{3}+(1-3\zeta_{6})q^{7}-3q^{9}+\cdots$$
2100.2.d.d $$2$$ $$16.769$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q+(1-2\zeta_{6})q^{3}+(-1+3\zeta_{6})q^{7}-3q^{9}+\cdots$$
2100.2.d.e $$2$$ $$16.769$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$3$$ $$0$$ $$-4$$ $$q+(1+\zeta_{6})q^{3}+(-1-2\zeta_{6})q^{7}+3\zeta_{6}q^{9}+\cdots$$
2100.2.d.f $$4$$ $$16.769$$ $$\Q(\sqrt{-2}, \sqrt{5})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+(-1-\beta _{1})q^{3}+(\beta _{1}+\beta _{3})q^{7}+(-1+\cdots)q^{9}+\cdots$$
2100.2.d.g $$4$$ $$16.769$$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$-2$$ $$0$$ $$6$$ $$q+(-1+\beta _{3})q^{3}+(1+\beta _{2}+\beta _{3})q^{7}+\cdots$$