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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| Materyal Türü: | Makale |
| Dil: | English |
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Académie des sciences
2023-09-01
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| Seri Bilgileri: | Comptes Rendus. Mathématique |
| Online Erişim: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.471/ |