Searching for simultaneous arithmetic progressions on elliptic curves
We look for elliptic curves featuring rational points whose coordinates form two arithmetic progressions, one for each coordinate. A constructive method for creating such curves is shown, for lengths up to 5.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2005 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/41949 |
| Acceso en línea: | http://hdl.handle.net/11441/41949 https://doi.org/10.1017/S0004972700038429 |
| Access Level: | acceso abierto |
| Palabra clave: | Elliptic curves Arithmetic progressions |
| Sumario: | We look for elliptic curves featuring rational points whose coordinates form two arithmetic progressions, one for each coordinate. A constructive method for creating such curves is shown, for lengths up to 5. |
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