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For the elliptic curve $E$ over $\mathbb{Q}(t)$ found by Kihara, with torsion group $\mathbb{Z}/4\mathbb{Z}$ and rank $\geq 5$, which is the current record for the rank of such curves, by using a… (More)

We prove that there exist infinitely many rationals a, b and c with the property that a^2-1, b^2-1, c^2-1, ab-1, ac-1 and bc-1 are all perfect squares. This provides a solution to a variant of the… (More)

- Ivica Gusi'c, Petra Tadi'c
- 2014

Let E : y = x +Ax +Bx+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 t0 ∈ Q for which the corresponding… (More)