Geodesic
Théorie des nombres
Rational points on a certain genus 2 curve
Nguyen, Xuan Tho1
1 Hanoi University of Science and Technology
Comptes Rendus. Mathématique, Tome 361 (2023) no. G6, pp. 1071-1073

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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 ±∞ and (±1,±8). This corrects previous works of Cohen [3] and Duquesne [4, 5].

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DOI : 10.5802/crmath.471
Classification : 14G05, 14H99

Nguyen, Xuan Tho 1

1 Hanoi University of Science and Technology
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Nguyen, Xuan Tho. Rational points on a certain genus 2 curve. Comptes Rendus. Mathématique, Tome 361 (2023) no. G6, pp. 1071-1073. doi: 10.5802/crmath.471

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