|
%I #14 Sep 08 2022 08:46:21
%S 323,328,399,445,579,723,904,943,1023,1139,1288,1314,1443,1508,1679,
%T 1743,1763,1768,1953,2005,2035,2159,2275,2328,2419,2451,2504,2533,
%U 2725,2739,2790,2793,2824,2915,2980,3029,3038,3043,3108,3196,3199,3245,3341,3363,3443,3459,3465
%N Numbers k for which rank of the elliptic curve y^2=x^3+k*x is 3.
%o (PARI) for(k=1, 3e3, if(ellanalyticrank(ellinit([0, 0, 0, k, 0]))[1]==3, print1(k", ")))
%o (Magma) for k in[1..4000] do if Rank(EllipticCurve([0,0,0,k,0])) eq 3 then print k; end if; end for; // _Vaclav Kotesovec_, Jul 08 2019
%Y Cf. A002158 (rank 0), A002159 (rank 1), A076329 (rank 2), this sequence (rank 3), A309031 (rank 4).
%Y Cf. A309033.
%K nonn
%O 1,1
%A _Seiichi Manyama_, Jul 08 2019
|
