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A002154
Numbers k for which the rank of the elliptic curve y^2 = x^3 - k is 2.
(Formerly M4782 N2040)
4
11, 26, 39, 47, 53, 61, 67, 76, 83, 89, 104, 106, 109, 116, 118, 121, 139, 147, 152, 155, 170, 186, 191, 200, 207, 211, 212, 214, 219, 222, 233, 236, 244, 249, 262, 277, 286, 291, 293, 294, 298, 299, 327, 329, 334, 355, 356, 364, 366, 368, 370, 371, 391, 393, 397
OFFSET
1,1
REFERENCES
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
B. J. Birch and H. P. F. Swinnerton-Dyer, Notes on elliptic curves, I, J. Reine Angew. Math., 212 (1963), 7-25.
PROG
(PARI) for(k=1, 1e3, if(ellanalyticrank(ellinit([0, 0, 0, 0, -k]))[1]==2, print1(k", "))) \\ Seiichi Manyama, Jul 06 2019
(Magma) for k in[1..400] do if Rank(EllipticCurve([0, 0, 0, 0, -k])) eq 2 then print k; end if; end for; // Vaclav Kotesovec, Jul 07 2019
CROSSREFS
Sequence in context: A329809 A190684 A354383 * A035934 A035932 A035933
KEYWORD
nonn
EXTENSIONS
Better definition from Artur Jasinski, Jun 30 2010
More terms added by Seiichi Manyama, Jul 06 2019
STATUS
approved