تقرير
Euclidean Geometry and Elliptic Curves
| العنوان: | Euclidean Geometry and Elliptic Curves |
|---|---|
| المؤلفون: | Izadi, Farzali |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory |
| الوصف: | In this paper, we demonstrate the intimate relationships among some geometric figures and the families of elliptic curves with positive ranks. These geometric figures include \textit{\textbf{Heron triangles}}, \textit{\textbf{Brahmagupta quadrilaterals}} and \textit{\textbf{Bicentric quadrilaterals}}. Firstly, we investigate the important properties of these figures and then utilizing these properties, we show that how to construct various families of elliptic curves with different positive ranks having different torsion subgroups. Comment: 14 pages. arXiv admin note: text overlap with arXiv:1512.03913 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2006.16756 |
| رقم الأكسشن: | edsarx.2006.16756 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |