K. Nabardi

most citedOn a Family Of Elliptic Curves With Positive Rank arising from Pythagorean Triples

3 citations · 6 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2015★ 3 cited

Diophantine Equation $X^{4} + Y^{4} = 2 (U^{4} + V^{4})$

Farzali Izadi, Kamran Nabardi

In this paper, the theory of elliptic curves is used for finding the solutions of the quartic Diophantine equation $X^{4} + Y^{4} = 2 (U^{4} + V^{4})$ Keywords: Diophantine equation, Elliptic cur…

math.NT2015

On Silverman's conjecture for a family of elliptic curves

Farzali Izadi, Kamran Nabardi

Let $E$ be an elliptic curve over $Q$ with the given Weierstrass equation $y^{2} = x^{3} + a x + b$ . If $D$ is a squarefree integer, then let $E^{(D)}$ denote the $D$ -quadratic twist o…

math.NT2015

A Family of Elliptic Curves With Rank $\geq 5$

Farzali Izadi, Kamran Nabardi

In this paper, we construct a family of elliptic curves with rank $\geq 5$ . To do this, we use the Heron formula for a triple $(A^{2}, B^{2}, C^{2})$ which are not necessarily the three…

math.NT2010★ 3 cited

On a Family Of Elliptic Curves With Positive Rank arising from Pythagorean Triples

F. A. Izadi, K. Nabardi, Foad Khoshnam

The aim of this paper is to introduce a new family of elliptic curves in the form of $y^{2} = x (x - a^{2}) (x - b^{2})$ that have positive ranks. We first generate a list of pythagorean triples…

Diophantine Equation X4+Y4=2(U4+V4)

On Silverman's conjecture for a family of elliptic curves

A Family of Elliptic Curves With Rank ≥5

On a Family Of Elliptic Curves With Positive Rank arising from Pythagorean Triples

Diophantine Equation $X^{4} + Y^{4} = 2 (U^{4} + V^{4})$

A Family of Elliptic Curves With Rank $\geq 5$