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A309029 Smallest k>0 such that the elliptic curve y^2 = x^3 - k*x has rank n, if k exists. 3
1, 2, 17, 82, 5037, 49042 (list; graph; refs; listen; history; text; internal format)
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: A060352 A215185 A002523 * 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

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Last modified January 18 09:26 EST 2022. Contains 350454 sequences. (Running on oeis4.)