On the family of elliptic curves $$\varvec{y^2=x^3-m^2x+p^2}$$ y 2 = x 3 - m 2 x + p 2

Author:

Juyal Abhishek,Kumar Shiv DattORCID

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference15 articles.

1. Antoniewicz A, On a family of elliptic curves, Universitatis Iagellonicae Acta Mathematica, 1285(43) (2005) 21–32

2. Brown E and Myers B T, Elliptic curves from Mordell to diophantus and back, Amer. Math. Monthly, 109(7) (2002) 639–649

3. Cremona J E, Algorithms for modular elliptic curves, 2nd ed. (1997) (New York: Cambridge University Press)

4. Eikenberg E V, Rational points on some families of elliptic curves, Ph.D. thesis (2004) (University of Maryland)

5. Husemöller D, Elliptic Curves (1987) (New York: Springer-Verlag)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On a family of elliptic curves of rank at least 2;Czechoslovak Mathematical Journal;2022-06-06

2. The Mordell-Weil bases for the elliptic curve $y^2=x^3-m^2x+m^2$;Czechoslovak Mathematical Journal;2021-03-22

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