Work

Split-Cubic Curves from D(n)-Triples: A Bounded Finite-Field Census

Year: 2026

Type: preprint

Abstract: We record a finite-field census of the split-cubic elliptic curves $E_{a,b,c}^{(n)}:y^2=(ax+n)(bx+n)(cx+n)$ attached to positive integral $D(n)$-triples. For $n\in\{-3,3,5,8,12,20\}$ there are $164$ such triples with $1\le a

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.03121

Authors: Chuysurichay, Sompong, Jaidee, Sawian, Panraksa, Chatchawan, Sukhonwimolmal, Teerapol

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7220448556

Cites: 14

Cited by:

Related to: 10