Finiteness conjecture for rational triangles fixed up to similarity by a weakly metric affine transformation
Finiteness conjecture. If f∈Vf\in Vf∈V and f≠fIf\neq f_If=fI, there are only a finite number of dissimilar rational triangles T∈X(T)T\in X(T)T∈X(T) such that f(T)∼Tf(T)\sim Tf(T)∼T.