Integral points on the elliptic curve y 2 = x 3 + 27 x − 62
نویسندگان
چکیده
منابع مشابه
On the Elliptic Curves of the Form $y^2 = x^3 − pqx$
By the Mordell- Weil theorem, the group of rational points on an elliptic curve over a number field is a finitely generated abelian group. This paper studies the rank of the family Epq:y2=x3-pqx of elliptic curves, where p and q are distinct primes. We give infinite families of elliptic curves of the form y2=x3-pqx with rank two, three and four, assuming a conjecture of Schinzel ...
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Uniformization, Schwarz’s/Fuchsian equations, accessory parameters, and a conjecture of Whittaker for the Burnside algebraic curve are discussed. 1Current address: Department of Mathematics and Statistics, Boston University, 111 Cummington st., Boston, MA 02215, USA; e-mail : [email protected] Permanent address: Theoretical Physics Department, Kaliningrad State University, A. Nevsky st. 14, ...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2013
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2013-221