A309034 Numbers k for which rank of the elliptic curve y^2=x^3-k*x is 4.

5037, 5795, 6497, 7585, 7672, 8701, 10001, 10081, 10605, 14547, 14637, 15805, 20091, 20737, 20760, 21177, 21571, 22321, 23137, 24492, 27812, 30877, 31595, 33026, 34241, 36737, 38412, 38497, 41021, 41907, 41922, 42347, 43036

Offset

1,1

Links

Table of n, a(n) for n=1..33.

Prog

(PARI) for(k=1, 1e4, if(ellanalyticrank(ellinit([0, 0, 0, -k, 0]))[1]==4, print1(k", ")))
(Magma) for k in[1..10000] do if Rank(EllipticCurve([0, 0, 0, -k, 0])) eq 4 then print k; end if; end for; // Vaclav Kotesovec, Jul 08 2019

Crossrefs

Cf. A002156 (rank 0), A002157 (rank 1). A309032 (rank 2), A309033 (rank 3), this sequence (rank 4), A309100 (rank 5).

Cf. A060952, A309031.

Sequence in context: A252162 A248986 A013534 * A237690 A290121 A269125

Adjacent sequences: A309031 A309032 A309033 * A309035 A309036 A309037

Keyword

nonn

Author

Seiichi Manyama, Jul 08 2019

Extensions

a(29)-a(33) from Seiichi Manyama, Jul 09 2019

Status

approved