On ranks of quadratic twists of a Mordell curve
Author:
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory
Link
https://link.springer.com/content/pdf/10.1007/s11139-022-00585-1.pdf
Reference31 articles.
1. Baker, A.: Contributions to the theory of Diophantine equations, I. On the representation of integers by binary quadratic forms; II. The Diophantine equation $$y^2 = x^3 + k$$. Philos. Trans. R. Soc. Lond. (Ser. A) 263 (1967 -1968) 173-191; 193-208
2. Birch, B.J., Stephens, N.M.: The parity of the rank of the Mordell-Weil group. Topology 5, 295–299 (1996)
3. Breuil, C., Conrad, B., Diamond, F., Taylor, R.: On the modularity of elliptic curves over $${\mathbb{Q}}$$. J. Am. Math. Soc. 14, 843–939 (2001)
4. Burungale, A., Tian, Y.: The even parity Goldfeld conjecture: congruent number elliptic curves. J. Number Theory 230, 161–195 (2022)
5. Chahal, J., Priddis, N.: Some congruence properties of the Pell equation. Ann. Sci. Math. Québec 35(2), 175–184 (2011)
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