login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A309032 Numbers k for which rank of the elliptic curve y^2=x^3-k*x is 2. 5

%I #11 Sep 08 2022 08:46:21

%S 17,56,65,77,90,97,117,132,136,141,145,155,156,161,184,205,207,219,

%T 220,221,241,252,257,259,260,264,272,275,285,291,292,301,305,306,337,

%U 342,355,356,371,376,395,396,401,420,429,433,445,449,452,456,465,481,497,507,516

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

%o (PARI) for(k=1, 1e3, if(ellanalyticrank(ellinit([0, 0, 0, -k, 0]))[1]==2, print1(k", ")))

%o (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 Cf. A002156 (rank 0), A002157 (rank 1). this sequence (rank 2), A309033 (rank 3), A309034(rank 4).

%Y Cf. A076329.

%K nonn

%O 1,1

%A _Seiichi Manyama_, Jul 08 2019

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 1 05:59 EDT 2024. Contains 374810 sequences. (Running on oeis4.)