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%I M3271 N1321 #38 Oct 14 2023 17:22:28
%S 1,4,6,7,13,14,16,20,21,23,25,27,29,32,34,42,45,49,51,53,59,60,64,70,
%T 75,78,81,84,85,86,87,88,90,93,95,96,104,109,114,115,116,123,124,125,
%U 135,137,140,144,153,157,158,159,160,162,165,167,173,175,176,178
%N Numbers k for which rank of the elliptic curve y^2 = x^3 + k is 0.
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H T. D. Noe, <a href="/A002151/b002151.txt">Table of n, a(n) for n = 1..2907</a> (using Gebel)
%H B. J. Birch and H. P. F. Swinnerton-Dyer, <a href="http://dx.doi.org/10.1515/crll.1963.212.7">Notes on elliptic curves, I</a>, J. Reine Angew. Math., 212 (1963), 7-25.
%H J. Gebel, <a href="/A001014/a001014.txt">Integer points on Mordell curves</a> [Cached copy, after the original web site tnt.math.se.tmu.ac.jp was shut down in 2017]
%H L. Lehman, <a href="https://web.archive.org/web/20100923134928/http://people.umw.edu/~llehman/research.htm">Elliptic Curves of Rank Zero</a>.
%H H. Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/ec/eca1/ec01rp.txt">Tables of Elliptic Curves</a>.
%o (Magma) for k in[1..200] do if Rank(EllipticCurve([0,0,0,0,k])) eq 0 then print k; end if; end for; // _Vaclav Kotesovec_, Jul 07 2019
%Y Cf. A060950, A002153, A002155, A102833, A060748, A060838, A060951, A060952, A060953.
%K nonn
%O 1,2
%A _N. J. A. Sloane_
%E Corrected and extended by _James R. Buddenhagen_, Feb 18 2005
%E The missing entry 123 was added by _T. D. Noe_, Jul 24 2007
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