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

Param Parekh; Paavan Parekh; Sourav Deb; Manish K Gupta

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arXiv · 2310.11768

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

Param Parekh·Paavan Parekh·Sourav Deb·Manish K Gupta

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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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Param Parekh, Paavan Parekh, Sourav Deb, Manish K Gupta. 2023-10-18. On the Classification of Weierstrass Elliptic Curves over $\mathbb{Z}_n$. https://arxiv.org/abs/2310.11768

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