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

1, 3, 14, 323, 1918, 195843

Offset

0,2

Comments

See A309029 for the smallest negative 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. A031507, A060953, A194687, A309029.

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

Sequence in context: A133028 A144985 A168590 * A297487 A297484 A289878

Adjacent sequences: A309025 A309026 A309027 * A309029 A309030 A309031

Keyword

nonn,more,hard

Author

Seiichi Manyama, Jul 08 2019

Extensions

a(5) from Vaclav Kotesovec, Jul 14 2019

Status

approved