We prove that there are at most finitely many complex λ  = 0, 1 such that two points on the Legendre elliptic curve Y2 = X(X − 1)(X − λ) with coordinates X = 2, 3 both have finite order. This is a very special case of some conjectures on unlikely intersections in semiabelian schemes
Torsion anomalous points and families of elliptic curves
ZANNIER, UMBERTO
2010
Abstract
We prove that there are at most finitely many complex λ = 0, 1 such that two points on the Legendre elliptic curve Y2 = X(X − 1)(X − λ) with coordinates X = 2, 3 both have finite order. This is a very special case of some conjectures on unlikely intersections in semiabelian schemesFile in questo prodotto:
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