cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A309032 Numbers k for which rank of the elliptic curve y^2=x^3-k*x is 2.

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%I A309032 #11 Sep 08 2022 08:46:21
%S A309032 17,56,65,77,90,97,117,132,136,141,145,155,156,161,184,205,207,219,
%T A309032 220,221,241,252,257,259,260,264,272,275,285,291,292,301,305,306,337,
%U A309032 342,355,356,371,376,395,396,401,420,429,433,445,449,452,456,465,481,497,507,516
%N A309032 Numbers k for which rank of the elliptic curve y^2=x^3-k*x is 2.
%o A309032 (PARI) for(k=1, 1e3, if(ellanalyticrank(ellinit([0, 0, 0, -k, 0]))[1]==2, print1(k", ")))
%o A309032 (Magma) for k in[1..1000] do if Rank(EllipticCurve([0,0,0,-k,0])) eq 2 then print k; end if; end for; // _Vaclav Kotesovec_, Jul 08 2019
%Y A309032 Cf. A002156 (rank 0), A002157 (rank 1). this sequence (rank 2), A309033 (rank 3), A309034(rank 4).
%Y A309032 Cf. A076329.
%K A309032 nonn
%O A309032 1,1
%A A309032 _Seiichi Manyama_, Jul 08 2019