## Results (displaying all 19 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
547.1.b.a $$1$$ $$0.273$$ $$\Q$$ $$\Q(\sqrt{-547})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+q^{4}+q^{9}-q^{11}-q^{13}+q^{16}-q^{19}+\cdots$$
547.2.a.a $$2$$ $$4.368$$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$0$$ $$0$$ $$4$$ $$+$$ $$q+(-1+\beta )q^{2}-\beta q^{3}+(1-2\beta )q^{4}+\cdots$$
547.2.a.b $$18$$ $$4.368$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$-4$$ $$-10$$ $$-27$$ $$-11$$ $$+$$ $$q-\beta _{1}q^{2}+(-1+\beta _{9})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
547.2.a.c $$25$$ $$4.368$$ None None $$4$$ $$8$$ $$29$$ $$5$$ $$-$$
547.2.c.a $$90$$ $$4.368$$ None None $$-1$$ $$-4$$ $$1$$ $$2$$
547.2.e.a $$264$$ $$4.368$$ None None $$-2$$ $$-1$$ $$-3$$ $$-18$$
547.2.f.a $$528$$ $$4.368$$ None None $$-8$$ $$-46$$ $$-9$$ $$-3$$
547.2.h.a $$540$$ $$4.368$$ None None $$-13$$ $$-10$$ $$-15$$ $$-2$$
547.2.j.a $$1080$$ $$4.368$$ None None $$-25$$ $$-74$$ $$-27$$ $$-28$$
547.2.m.a $$3168$$ $$4.368$$ None None $$-76$$ $$-38$$ $$-75$$ $$-60$$
547.2.o.a $$6480$$ $$4.368$$ None None $$-143$$ $$-94$$ $$-141$$ $$-154$$
547.3.b.a $$3$$ $$14.905$$ 3.3.14769.1 $$\Q(\sqrt{-547})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+4q^{4}+9q^{9}+(3\beta _{1}+2\beta _{2})q^{11}+(-4\beta _{1}+\cdots)q^{13}+\cdots$$
547.3.b.b $$88$$ $$14.905$$ None None $$0$$ $$0$$ $$0$$ $$0$$
547.4.a.a $$65$$ $$32.274$$ None None $$-12$$ $$-35$$ $$-151$$ $$-74$$ $$-$$
547.4.a.b $$71$$ $$32.274$$ None None $$14$$ $$31$$ $$159$$ $$66$$ $$+$$
547.6.a.a $$111$$ $$87.730$$ None None $$-28$$ $$-98$$ $$-801$$ $$-587$$ $$+$$
547.6.a.b $$117$$ $$87.730$$ None None $$24$$ $$100$$ $$749$$ $$393$$ $$-$$
547.8.a.a $$156$$ $$170.875$$ None None $$-56$$ $$-284$$ $$-3751$$ $$-2559$$ $$-$$
547.8.a.b $$162$$ $$170.875$$ None None $$48$$ $$310$$ $$3999$$ $$4301$$ $$+$$