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

%I #23 Jul 12 2019 09:10:52

%S 1,2,17,82,5037,49042

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

%C See A309028 for the smallest positive 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. A031508, A060952, A194687, A309028.

%Y Cf. A002156, A002157, A309032, A309033, A309034, A309100.

%K nonn,more,hard

%O 0,2

%A _Seiichi Manyama_, Jul 08 2019

%E a(5) from _Vaclav Kotesovec_, Jul 09 2019