TL;DR
This paper presents an elementary, non-computational method to determine divisibility by 2 in the group of rational points on elliptic curves, offering a new perspective on a classical criterion.
Contribution
It introduces a novel elementary approach to a well-known divisibility criterion on elliptic curves, avoiding computational techniques.
Findings
Provides a simple criterion for divisibility by 2
Offers an elementary proof approach
Enhances understanding of elliptic curve group structure
Abstract
We discuss a non-computational elementary approach to a well-known criterion of divisibility by 2 in the group of rational points on an elliptic curve.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Polynomial and algebraic computation · Algebraic Geometry and Number Theory