Abstract Let E: y 2= x 3+ A x 2+ B x+ C be a nonconstant elliptic curve over Q (t) with at least
one nontrivial Q (t)-rational 2-torsion point. We describe a method for finding t 0∈ Q for …

Let E be an elliptic curve over Q given by y2= f (x) where f (x)= x (x− 1)(x− λ). In this paper,
we describe a construction of twists Eg (u) of rank 2 over Q (u), where g (u) are polynomials …

Let E be an elliptic curve over Q given by y2= f (x) where f (x)= x (x− 1)(x− λ). In this paper,
we describe a construction of twists Eg (u) of rank 2 over Q (u), where g (u) are polynomials …