Juan Carlos Peral

most citedElliptic curves with torsion groups

Z /8 Z

and

Z /2 Z \times Z /6 Z

5 citations · 7 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2021★ 5 cited

Elliptic curves with torsion groups $Z /8 Z$ and $Z /2 Z \times Z /6 Z$

Andrej Dujella, Matija Kazalicki, Juan Carlos Peral

In this paper, we present details of seven elliptic curves over $Q (u)$ with rank $2$ and torsion group $Z /8 Z$ and five curves over $Q (u)$ with…

math.NT2012★ 2 cited

Biquadrates and Elliptic Curves

Julián Aguirre, Juan Carlos Peral

The elliptic curve y^2= x^3-Nx where N=m^4+n^4 has rank at least 2 over Q(m,n). When N can be written in two different ways as sum of two fourth powers, then we prove that the rank…

Elliptic curves with torsion groups Z/8Z and Z/2Z×Z/6Z

Biquadrates and Elliptic Curves

Elliptic curves with torsion groups $Z /8 Z$ and $Z /2 Z \times Z /6 Z$