A309029 Smallest k>0 such that the elliptic curve y^2 = x^3 - k*x has rank n, if k exists.

1, 2, 17, 82, 5037, 49042

Offset

0,2

Comments

See A309028 for the smallest positive k.

Links

Table of n, a(n) for n=0..5.

B. J. Birch and H. P. F. Swinnerton-Dyer, Notes on elliptic curves, I, J. Reine Angew. Math., 212 (1963), 7-25.

Crossrefs

Cf. A031508, A060952, A194687, A309028.

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

Sequence in context: A002523 A360747 A360813 * A079889 A053786 A181546

Adjacent sequences: A309026 A309027 A309028 * A309030 A309031 A309032

Keyword

nonn,more,hard

Author

Seiichi Manyama, Jul 08 2019

Extensions

a(5) from Vaclav Kotesovec, Jul 09 2019

Status

approved