Results (displaying all 15 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
3997.1.n.a $$2$$ $$1.995$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-7})$$ None $$1$$ $$0$$ $$0$$ $$2$$ $$q-\zeta_{6}^{2}q^{2}+q^{7}+q^{8}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{11}+\cdots$$
3997.1.n.b $$4$$ $$1.995$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$-2$$ $$0$$ $$0$$ $$4$$ $$q+(-1+\beta _{2})q^{2}+\beta _{1}q^{5}+q^{7}-q^{8}+\cdots$$
3997.1.n.c $$4$$ $$1.995$$ $$\Q(\zeta_{12})$$ None None $$2$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{2}q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{5}q^{5}-\zeta_{12}^{3}q^{6}+\cdots$$
3997.1.x.a $$4$$ $$1.995$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-7})$$ None $$-2$$ $$0$$ $$0$$ $$-1$$ $$q+(\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(1-\zeta_{10}+\zeta_{10}^{4}+\cdots)q^{4}+\cdots$$
3997.1.bf.a $$8$$ $$1.995$$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-7})$$ None $$-1$$ $$0$$ $$0$$ $$-2$$ $$q+(\zeta_{30}^{8}+\zeta_{30}^{12})q^{2}+(-\zeta_{30}-\zeta_{30}^{5}+\cdots)q^{4}+\cdots$$
3997.1.bp.a $$18$$ $$1.995$$ $$\Q(\zeta_{38})$$ $$\Q(\sqrt{-7})$$ None $$-2$$ $$0$$ $$0$$ $$-1$$ $$q+(-\zeta_{38}^{3}+\zeta_{38}^{8})q^{2}+(\zeta_{38}^{6}-\zeta_{38}^{11}+\cdots)q^{4}+\cdots$$
3997.1.ce.a $$36$$ $$1.995$$ $$\Q(\zeta_{57})$$ $$\Q(\sqrt{-7})$$ None $$-1$$ $$0$$ $$0$$ $$-2$$ $$q+(\zeta_{114}^{24}-\zeta_{114}^{47})q^{2}+(\zeta_{114}^{14}-\zeta_{114}^{37}+\cdots)q^{4}+\cdots$$
3997.1.cj.a $$72$$ $$1.995$$ $$\Q(\zeta_{95})$$ $$\Q(\sqrt{-7})$$ None $$2$$ $$0$$ $$0$$ $$1$$ $$q+(-\zeta_{190}^{29}-\zeta_{190}^{71})q^{2}+(-\zeta_{190}^{5}+\cdots)q^{4}+\cdots$$
3997.1.cz.a $$144$$ $$1.995$$ $$\Q(\zeta_{570})$$ $$\Q(\sqrt{-7})$$ None $$1$$ $$0$$ $$0$$ $$2$$ $$q+(-\zeta_{570}^{201}+\zeta_{570}^{244})q^{2}+(-\zeta_{570}^{117}+\cdots)q^{4}+\cdots$$
3997.2.a.a $$1$$ $$31.916$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$-1$$ $$-$$ $$q-2q^{4}-2q^{5}-q^{7}-3q^{9}+q^{11}+\cdots$$
3997.2.a.b $$1$$ $$31.916$$ $$\Q$$ None None $$1$$ $$-2$$ $$0$$ $$1$$ $$+$$ $$q+q^{2}-2q^{3}-q^{4}-2q^{6}+q^{7}-3q^{8}+\cdots$$
3997.2.a.c $$63$$ $$31.916$$ None None $$-21$$ $$-14$$ $$-16$$ $$63$$ $$+$$
3997.2.a.d $$68$$ $$31.916$$ None None $$13$$ $$18$$ $$18$$ $$-68$$ $$-$$
3997.2.a.e $$73$$ $$31.916$$ None None $$-12$$ $$-18$$ $$-22$$ $$-73$$ $$+$$
3997.2.a.f $$79$$ $$31.916$$ None None $$20$$ $$16$$ $$16$$ $$79$$ $$-$$