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 A002159 Numbers k for which rank of the elliptic curve y^2=x^3+k*x is 1. (Formerly M2429 N0962) 9
 3, 5, 8, 9, 13, 15, 18, 19, 20, 21, 24, 28, 29, 31, 35, 37, 40, 47, 48, 49, 51, 53, 56, 60, 61, 67, 69, 77, 79, 80, 83, 84, 85, 88, 90, 92, 93, 95, 98, 100, 101, 104, 109, 111, 115, 120, 121, 124, 125, 126, 127, 128, 131, 133, 136, 141, 143, 144, 148, 149, 152, 153, 156 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Terms 80 and 128 are missing in the article by Birch and Swinnerton-Dyer, page 25, table 4b. - Vaclav Kotesovec, Jul 07 2019 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 Vincenzo Librandi, Table of n, a(n) for n = 1..2040 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. A060953, A076329. Sequence in context: A325540 A102529 A186621 * A050094 A137319 A138808 Adjacent sequences:  A002156 A002157 A002158 * A002160 A002161 A002162 KEYWORD nonn AUTHOR EXTENSIONS More terms added by Seiichi Manyama, Jul 07 2019 STATUS approved

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Last modified December 5 03:31 EST 2020. Contains 338943 sequences. (Running on oeis4.)