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A309032
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Numbers k for which rank of the elliptic curve y^2=x^3-k*x is 2.
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5
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17, 56, 65, 77, 90, 97, 117, 132, 136, 141, 145, 155, 156, 161, 184, 205, 207, 219, 220, 221, 241, 252, 257, 259, 260, 264, 272, 275, 285, 291, 292, 301, 305, 306, 337, 342, 355, 356, 371, 376, 395, 396, 401, 420, 429, 433, 445, 449, 452, 456, 465, 481, 497, 507, 516
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OFFSET
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1,1
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LINKS
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PROG
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(PARI) for(k=1, 1e3, if(ellanalyticrank(ellinit([0, 0, 0, -k, 0]))[1]==2, print1(k", ")))
(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
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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