Weierstrass \(\wp\)-function for elliptic curves.Tate’s parametrisation of \(p\)-adic curves with multiplicative reduction.Local data for elliptic curves over number fields.Testing whether elliptic curves over number fields are \(\QQ\)-curves.Complex multiplication for elliptic curves.Isogeny class of elliptic curves over number fields.Galois representations for elliptic curves over number fields.Galois representations attached to elliptic curves.Torsion subgroups of elliptic curves over number fields (including \(\QQ\)).
