4 citations · 5 across the 2 of their papers we have counts for
3 papers
math.NT2022★ 1 cited
An elliptic curve over Q(u) with torsion Z/4Z and rank 6
Andrej Dujella, Juan Carlos Peral
In this note we present the main details of the construction of an elliptic curve over with torsion and rank 6. Previously only rank 5 exam…
math.NT2020★ 4 cited
High rank elliptic curves induced by rational Diophantine triples
Andrej Dujella, Juan Carlos Peral
A rational Diophantine triple is a set of three nonzero rational a,b,c with the property that ab+1, ac+1, bc+1 are perfect squares. We say that the elliptic curve y^2 = (ax+1)(bx+1…
math.NT2017
Elliptic curves induced by Diophantine triples
Andrej Dujella, Juan Carlos Peral
Given a Diophantine triple , the elliptic curve over Q(t) induced by this triple, i.e. , can have as torsion g…