arXiv (All)
open access
Split-Cubic Curves from D(n)-Triples: A Bounded Finite-Field Census
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 $1\le a<b<c\le100$, allowing zero squares. Their reductions at the ten primes $\ope
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Euclidean Triangles Associated with Diophantine $D(4)$-triples#1143145
- A Quaternary Legendre Pair of Length 64#1061211
- Modified rational six vertex model on a rectangular lattice: New formula, homogeneous and thermodynamic limits#153535
- Nests and nest accessories#1201527
- The weak cylinder conjecture for polynomial graphs of bounded degree#1341686
Record · ID 1187799
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive