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A102833 Numbers n for which rank of the elliptic curve y^2=x^3+n is 3. 8

%I #23 Oct 15 2023 13:34:38

%S 113,141,316,346,359,427,443,506,537,568,659,681,730,745,873,892,899,

%T 940,997,1016,1025,1090,1149,1157,1171,1213,1304,1305,1342,1367,1373,

%U 1478,1522,1639,1646,1737,1753,1772,1811,1841,1897,1907,1954,2024,2143

%N Numbers n for which rank of the elliptic curve y^2=x^3+n is 3.

%H T. D. Noe, <a href="/A102833/b102833.txt">Table of n, a(n) for n=1..250</a> (using Gebel).

%H B. J. Birch and H. P. F. Swinnerton-Dyer, <a href="https://eudml.org/doc/150565">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 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..2000] do if Rank(EllipticCurve([0,0,0,0,k])) eq 3 then print k; end if; end for; // _Vaclav Kotesovec_, Jul 07 2019

%Y Cf. A060950, A002151, A002153, A002155, A060748, A060838, A060951-A060953.

%K nonn

%O 1,1

%A _James R. Buddenhagen_, Feb 18 2005. Entry revised by _N. J. A. Sloane_, Jun 10 2012

%E More terms from _T. D. Noe_, Jul 24 2007

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Last modified April 24 11:40 EDT 2024. Contains 371936 sequences. (Running on oeis4.)