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A309028 Smallest k>0 such that the elliptic curve y^2 = x^3 + k*x has rank n, if k exists. 4

%I #21 Jul 16 2019 02:51:22

%S 1,3,14,323,1918,195843

%N Smallest k>0 such that the elliptic curve y^2 = x^3 + k*x has rank n, if k exists.

%C See A309029 for the smallest negative k.

%H B. J. Birch and H. P. F. Swinnerton-Dyer, <a href="https://eudml.org/doc/150565">Notes on elliptic curves, I</a>, J. Reine Angew. Math., 212 (1963), 7-25.

%Y Cf. A031507, A060953, A194687, A309029.

%Y Cf. A002158, A002159, A076329, A309030, A309031, A309190.

%K nonn,more,hard

%O 0,2

%A _Seiichi Manyama_, Jul 08 2019

%E a(5) from _Vaclav Kotesovec_, Jul 14 2019

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Last modified April 24 18:17 EDT 2024. Contains 371962 sequences. (Running on oeis4.)