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A New Family Of Elliptic Curves With Positive Rank arising from Pythagorean Triples
elliptic curves rank pythagorean triples
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2011/2/28
The aim of this paper is to introduce a new family of elliptic curves in the form of y2 = x(x−a2)(x−b2) that have positive ranks. We first generate a list of pythagorean triples (a, b, c) ...
A new family of elliptic curves with positive ranks arising from the Heron triangles
Elliptic curves Ranks Torsion group Heron’s Triangle
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2011/2/28
The aim of this paper is to introduce a new family of elliptic curves with positive ranks.
About some family of elliptic curves
some family elliptic curves
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2011/1/20
We examine the moduli space E = T of complex tori T() =C/L() where L() = const · 2()L . We find that the Dedekind eta function furnishes a bridge between the euclidean and hyperbolic structur...