TL;DR
This paper explores specific congruence properties of elliptic curves, providing a complete solution to an open question and discussing related results inspired by Serre's theorem.
Contribution
It offers a complete solution to an open problem on elliptic curve congruences and extends the discussion to related properties and questions.
Findings
Resolved an open question on elliptic curve congruences
Presented new results on congruence properties
Discussed further related questions and results
Abstract
In this paper, as a result of a theorem of Serre on congruence properties, a complete solution is given for an open question (see the text) presented recently by Kim, Koo and Park. Some further questions and results on similar types of congruence properties of elliptic curves are also presented and discussed.
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