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 A002154 Numbers n for which rank of the elliptic curve y^2=x^3-n is 2. (Formerly M4782 N2040) 5
 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 (list; graph; refs; listen; history; text; internal format)
 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: A247466 A329809 A190684 * A035934 A035932 A035933 Adjacent sequences:  A002151 A002152 A002153 * A002155 A002156 A002157 KEYWORD nonn AUTHOR EXTENSIONS Better definition from Artur Jasinski, Jun 30 2010 More terms added by Seiichi Manyama, Jul 06 2019 STATUS approved

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Last modified May 14 07:10 EDT 2021. Contains 343879 sequences. (Running on oeis4.)