Rational points on a certain genus 2 curve
We give a correct proof to the fact that all rational points on the curve \[ y^2=(x^2+1)(x^2+3)(x^2+7) \] are $\pm \infty $ and $(\pm 1,\,\pm 8)$. This corrects previous works of Cohen [3] and Duquesne [4, 5].
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| Formato: | Artigo |
| Idioma: | English |
| Publicado em: |
Académie des sciences
2023-09-01
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| Colecção: | Comptes Rendus. Mathématique |
| Acesso em linha: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.471/ |