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On the Classification of Weierstrass Elliptic Curves over $\mathbb{Z}_n$

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arxiv 2310.11768 v2 pith:CYYXKR2V submitted 2023-10-18 cs.CR cs.ITmath.AGmath.ITmath.NT

Param Parekh , Paavan Parekh , Sourav Deb , Manish K Gupta This is my paper · ORCID
classification cs.CRcs.ITmath.AGmath.ITmath.NT
keywords curvesellipticclassificationfinitemathbbweierstrassapplicationsbeautiful
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abstract

The elliptic curves are beautiful mathematical object with several applications. They have been studied well over finite and infinite fields. In this work, we study Weierstrass elliptic curves over the finite ring $\mathbb{Z}_n$ through classification. Our study is supported with extensive computational data. We also present some conjectures.

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Cited by 1 Pith paper

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  1. Diophantine FLINT-HILLS series

    math.GM 2025-01 reject novelty 4.0 of 10

    The paper claims a proof of convergence of the Flint-Hills series and a new irrationality-measure bound mu(pi) <= 2.5, but the proof is circular and invalid.

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