Elliptic curves induced by Diophantine triples

Andrej Dujella, Juan Carlos Peral

Given a Diophantine triple $\{c_1(t),c_2(t),c_3(t)\}$, the elliptic curve over Q(t) induced by this triple, i.e. $y^2=(c_1(t)x+1)(c_2(t)x+1)(c_3(t)x+1)$, can have as torsion g…