Diophantine triples and construction of high-rank elliptic curves, by Andrej Dujella
Using the theory of Diophantine m-tuples, i.e. sets with the property
that the product of its any two distinct elements increased by 1 is a
perfect square, we construct an elliptic curve over Q(t) of rank
at least 4 with three non-trivial torsion points.
By specialization, we obtain an example of elliptic curve over Q
with torsion group Z/2Z * Z/2Z whose rank is equal 7.
Andrej Dujella <email@example.com>