Collinear CM-points
Yuri Bilu, Florian Luca, David Masser · Algebra & Number Theory · 2017
André's celebrated theorem of 1998 implies that each complex straight line Ax + By + C = 0 (apart from obvious exceptions) contains at most finitely many points ( j (τ ), j (τ )), where τ, τ ∈ ވ are algebraic of degree 2. We show that there are only a finite number of such lines which contain more than two such points.As there is a line through any two complex points, this is the best possible result.