“…According to the analogy between torsion and inflection introduced in Section 1.5, we may think of these inflectionary curves as generalizations of modular curves. Whenever κ is a real parameter, so that the corresponding elliptic curve
has a real locus
with two connected components, [
10, Conj. 3.1] predicts that the corresponding inflection polynomial is separable, that is, has only simple roots.…”