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 A002157 Numbers k for which the rank of the elliptic curve y^2 = x^3 - k*x is 1. (Formerly M1317 N0505) 5
 2, 5, 6, 7, 10, 12, 14, 15, 20, 21, 22, 23, 25, 26, 30, 31, 32, 34, 36, 37, 38, 39, 41, 42, 45, 46, 47, 49, 50, 52, 53, 54, 55, 57, 58, 60, 62, 66, 69, 70, 71, 72, 73, 74, 76, 78, 79, 80, 84, 85, 86, 87, 89, 94, 95, 96, 99, 101, 102, 103, 105, 106, 110, 111, 112, 114, 116 (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 Table of n, a(n) for n=1..67. 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, 200, if(ellanalyticrank(ellinit([0, 0, 0, -k, 0]))[1]==1, print1(k", "))) \\ Seiichi Manyama, Jul 07 2019 (Magma) for k in[1..200] do if Rank(EllipticCurve([0, 0, 0, -k, 0])) eq 1 then print k; end if; end for; // Vaclav Kotesovec, Jul 07 2019 CROSSREFS Cf. A060952. Sequence in context: A087791 A334880 A285032 * A050002 A047578 A259605 Adjacent sequences: A002154 A002155 A002156 * A002158 A002159 A002160 KEYWORD nonn AUTHOR N. J. A. Sloane EXTENSIONS More terms added by Seiichi Manyama, Jul 07 2019 STATUS approved

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Last modified February 27 16:21 EST 2024. Contains 370378 sequences. (Running on oeis4.)