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 A309034 Numbers k for which rank of the elliptic curve y^2=x^3-k*x is 4. 5
 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified September 18 10:04 EDT 2024. Contains 375999 sequences. (Running on oeis4.)