## Results (1-50 of 146 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1575.1.e.a $$2$$ $$0.786$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-iq^{7}-iq^{8}+q^{11}-q^{14}+\cdots$$
1575.1.e.b $$2$$ $$0.786$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-7})$$ $$\Q(\sqrt{21})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+q^{4}-iq^{7}+q^{16}-iq^{28}-iq^{37}+\cdots$$
1575.1.e.c $$4$$ $$0.786$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{12}^{2}-\zeta_{12}^{4})q^{2}+(-1-\zeta_{12}^{2}+\cdots)q^{4}+\cdots$$
1575.1.h.a $$1$$ $$0.786$$ $$\Q$$ $$\Q(\sqrt{-7})$$ None $$-1$$ $$0$$ $$0$$ $$-1$$ $$q-q^{2}-q^{7}+q^{8}+q^{11}+q^{14}-q^{16}+\cdots$$
1575.1.h.b $$1$$ $$0.786$$ $$\Q$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-7})$$ $$\Q(\sqrt{21})$$ $$0$$ $$0$$ $$0$$ $$1$$ $$q-q^{4}+q^{7}+q^{16}-q^{28}+2q^{37}+\cdots$$
1575.1.h.c $$1$$ $$0.786$$ $$\Q$$ $$\Q(\sqrt{-7})$$ None $$1$$ $$0$$ $$0$$ $$1$$ $$q+q^{2}+q^{7}-q^{8}+q^{11}+q^{14}-q^{16}+\cdots$$
1575.1.h.d $$2$$ $$0.786$$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-\beta q^{2}+2q^{4}-q^{7}-\beta q^{8}-\beta q^{11}+\cdots$$
1575.1.h.e $$2$$ $$0.786$$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q-\beta q^{2}+2q^{4}+q^{7}-\beta q^{8}+\beta q^{11}+\cdots$$
1575.1.n.a $$4$$ $$0.786$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q+(-1-\zeta_{8}^{2})q^{2}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{7}+\cdots$$
1575.1.n.b $$4$$ $$0.786$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q+(1+\zeta_{8}^{2})q^{2}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{7}+\cdots$$
1575.1.n.c $$8$$ $$0.786$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-7})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{24}^{8}+\zeta_{24}^{10})q^{2}+(-\zeta_{24}^{4}-\zeta_{24}^{6}+\cdots)q^{4}+\cdots$$
1575.1.n.d $$8$$ $$0.786$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-7})$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{24}^{8}-\zeta_{24}^{10})q^{2}+(-\zeta_{24}^{4}+\cdots)q^{4}+\cdots$$
1575.1.x.a $$2$$ $$0.786$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q+\zeta_{6}q^{4}-\zeta_{6}q^{7}+(\zeta_{6}+\zeta_{6}^{2})q^{13}+\cdots$$
1575.1.x.b $$2$$ $$0.786$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q+\zeta_{6}q^{4}+\zeta_{6}q^{7}+(-\zeta_{6}-\zeta_{6}^{2})q^{13}+\cdots$$
1575.1.y.a $$4$$ $$0.786$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{3}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}q^{7}-q^{9}+\cdots$$
1575.1.bj.a $$4$$ $$0.786$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{2}q^{4}+\zeta_{12}^{5}q^{7}+(-\zeta_{12}+\zeta_{12}^{5}+\cdots)q^{13}+\cdots$$
1575.1.cb.a $$8$$ $$0.786$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{9}q^{2}+\zeta_{24}^{7}q^{3}+\zeta_{24}^{4}q^{6}+\cdots$$
1575.1.ci.a $$8$$ $$0.786$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{2}q^{4}-\zeta_{24}^{11}q^{7}+(-\zeta_{24}-\zeta_{24}^{5}+\cdots)q^{13}+\cdots$$
1575.1.cn.a $$8$$ $$0.786$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{9}q^{3}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{7}q^{7}+\cdots$$
1575.1.cp.a $$8$$ $$0.786$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{11}q^{2}-\zeta_{24}^{9}q^{3}-\zeta_{24}^{8}q^{6}+\cdots$$
1575.2.a.a $$1$$ $$12.576$$ $$\Q$$ None None $$-2$$ $$0$$ $$0$$ $$-1$$ $$+$$ $$q-2q^{2}+2q^{4}-q^{7}+3q^{11}+q^{13}+\cdots$$
1575.2.a.b $$1$$ $$12.576$$ $$\Q$$ None None $$-1$$ $$0$$ $$0$$ $$-1$$ $$-$$ $$q-q^{2}-q^{4}-q^{7}+3q^{8}+4q^{13}+q^{14}+\cdots$$
1575.2.a.c $$1$$ $$12.576$$ $$\Q$$ None None $$-1$$ $$0$$ $$0$$ $$1$$ $$+$$ $$q-q^{2}-q^{4}+q^{7}+3q^{8}-4q^{11}+2q^{13}+\cdots$$
1575.2.a.d $$1$$ $$12.576$$ $$\Q$$ None None $$-1$$ $$0$$ $$0$$ $$1$$ $$+$$ $$q-q^{2}-q^{4}+q^{7}+3q^{8}-4q^{13}-q^{14}+\cdots$$
1575.2.a.e $$1$$ $$12.576$$ $$\Q$$ None None $$-1$$ $$0$$ $$0$$ $$1$$ $$-$$ $$q-q^{2}-q^{4}+q^{7}+3q^{8}+6q^{11}+2q^{13}+\cdots$$
1575.2.a.f $$1$$ $$12.576$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $$-$$ $$q-2q^{4}-q^{7}+3q^{11}-5q^{13}+4q^{16}+\cdots$$
1575.2.a.g $$1$$ $$12.576$$ $$\Q$$ None None $$1$$ $$0$$ $$0$$ $$-1$$ $$-$$ $$q+q^{2}-q^{4}-q^{7}-3q^{8}+4q^{13}-q^{14}+\cdots$$
1575.2.a.h $$1$$ $$12.576$$ $$\Q$$ None None $$1$$ $$0$$ $$0$$ $$-1$$ $$-$$ $$q+q^{2}-q^{4}-q^{7}-3q^{8}+6q^{13}-q^{14}+\cdots$$
1575.2.a.i $$1$$ $$12.576$$ $$\Q$$ None None $$1$$ $$0$$ $$0$$ $$-1$$ $$+$$ $$q+q^{2}-q^{4}-q^{7}-3q^{8}+6q^{11}-2q^{13}+\cdots$$
1575.2.a.j $$1$$ $$12.576$$ $$\Q$$ None None $$1$$ $$0$$ $$0$$ $$1$$ $$+$$ $$q+q^{2}-q^{4}+q^{7}-3q^{8}-4q^{13}+q^{14}+\cdots$$
1575.2.a.k $$1$$ $$12.576$$ $$\Q$$ None None $$2$$ $$0$$ $$0$$ $$1$$ $$-$$ $$q+2q^{2}+2q^{4}+q^{7}+3q^{11}-q^{13}+\cdots$$
1575.2.a.l $$2$$ $$12.576$$ $$\Q(\sqrt{5})$$ None None $$-3$$ $$0$$ $$0$$ $$-2$$ $$-$$ $$q+(-1-\beta )q^{2}+3\beta q^{4}-q^{7}+(-1+\cdots)q^{8}+\cdots$$
1575.2.a.m $$2$$ $$12.576$$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$0$$ $$0$$ $$2$$ $$-$$ $$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+q^{7}+(-3+\cdots)q^{8}+\cdots$$
1575.2.a.n $$2$$ $$12.576$$ $$\Q(\sqrt{5})$$ None None $$-1$$ $$0$$ $$0$$ $$2$$ $$+$$ $$q-\beta q^{2}+(-1+\beta )q^{4}+q^{7}+(-1+2\beta )q^{8}+\cdots$$
1575.2.a.o $$2$$ $$12.576$$ $$\Q(\sqrt{13})$$ None None $$-1$$ $$0$$ $$0$$ $$2$$ $$-$$ $$q-\beta q^{2}+(1+\beta )q^{4}+q^{7}-3q^{8}+3q^{11}+\cdots$$
1575.2.a.p $$2$$ $$12.576$$ $$\Q(\sqrt{17})$$ None None $$-1$$ $$0$$ $$0$$ $$2$$ $$+$$ $$q-\beta q^{2}+(2+\beta )q^{4}+q^{7}+(-4-\beta )q^{8}+\cdots$$
1575.2.a.q $$2$$ $$12.576$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$+$$ $$q+\beta q^{2}+q^{4}-q^{7}-\beta q^{8}-2\beta q^{11}+\cdots$$
1575.2.a.r $$2$$ $$12.576$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$-$$ $$q-\beta q^{2}+3q^{4}-q^{7}-\beta q^{8}+(-2-2\beta )q^{11}+\cdots$$
1575.2.a.s $$2$$ $$12.576$$ $$\Q(\sqrt{5})$$ None None $$1$$ $$0$$ $$0$$ $$-2$$ $$+$$ $$q+\beta q^{2}+(-1+\beta )q^{4}-q^{7}+(1-2\beta )q^{8}+\cdots$$
1575.2.a.t $$2$$ $$12.576$$ $$\Q(\sqrt{13})$$ None None $$1$$ $$0$$ $$0$$ $$-2$$ $$-$$ $$q+\beta q^{2}+(1+\beta )q^{4}-q^{7}+3q^{8}+3q^{11}+\cdots$$
1575.2.a.u $$2$$ $$12.576$$ $$\Q(\sqrt{2})$$ None None $$2$$ $$0$$ $$0$$ $$2$$ $$-$$ $$q+(1+\beta )q^{2}+(1+2\beta )q^{4}+q^{7}+(3+\beta )q^{8}+\cdots$$
1575.2.a.v $$2$$ $$12.576$$ $$\Q(\sqrt{5})$$ None None $$3$$ $$0$$ $$0$$ $$2$$ $$-$$ $$q+(1+\beta )q^{2}+3\beta q^{4}+q^{7}+(1+4\beta )q^{8}+\cdots$$
1575.2.a.w $$3$$ $$12.576$$ 3.3.148.1 None None $$-1$$ $$0$$ $$0$$ $$-3$$ $$+$$ $$q-\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}-q^{7}+(-2+\cdots)q^{8}+\cdots$$
1575.2.a.x $$3$$ $$12.576$$ 3.3.148.1 None None $$1$$ $$0$$ $$0$$ $$3$$ $$-$$ $$q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+q^{7}+(2+\cdots)q^{8}+\cdots$$
1575.2.a.y $$4$$ $$12.576$$ 4.4.174928.1 None None $$0$$ $$0$$ $$0$$ $$-4$$ $$-$$ $$q+\beta _{1}q^{2}+(3+\beta _{2})q^{4}-q^{7}+(2\beta _{1}+\beta _{3})q^{8}+\cdots$$
1575.2.a.z $$4$$ $$12.576$$ 4.4.174928.1 None None $$0$$ $$0$$ $$0$$ $$4$$ $$-$$ $$q+\beta _{1}q^{2}+(3+\beta _{2})q^{4}+q^{7}+(2\beta _{1}+\beta _{3})q^{8}+\cdots$$
1575.2.b.a $$4$$ $$12.576$$ $$\Q(\sqrt{-2}, \sqrt{7})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(-2+\beta _{2})q^{4}+\beta _{2}q^{7}+(-2\beta _{1}+\cdots)q^{8}+\cdots$$
1575.2.b.b $$4$$ $$12.576$$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{4}+(-1+\beta _{1}+\beta _{3})q^{7}+\cdots$$
1575.2.b.c $$4$$ $$12.576$$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{4}+(-1-\beta _{1}-\beta _{3})q^{7}+\cdots$$
1575.2.b.d $$4$$ $$12.576$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-\beta _{1}q^{2}-\beta _{2}q^{7}-2\beta _{1}q^{8}-\beta _{1}q^{11}+\cdots$$