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A102833
Numbers n for which rank of the elliptic curve y^2=x^3+n is 3.
9
113, 141, 316, 346, 359, 427, 443, 506, 537, 568, 659, 681, 730, 745, 873, 892, 899, 940, 997, 1016, 1025, 1090, 1149, 1157, 1171, 1213, 1304, 1305, 1342, 1367, 1373, 1478, 1522, 1639, 1646, 1737, 1753, 1772, 1811, 1841, 1897, 1907, 1954, 2024, 2143
OFFSET
1,1
LINKS
T. D. Noe, Table of n, a(n) for n=1..250 (using Gebel).
B. J. Birch and H. P. F. Swinnerton-Dyer, Notes on elliptic curves, I, J. Reine Angew. Math., 212 (1963), 7-25.
J. Gebel, Integer points on Mordell curves [Cached copy, after the original web site tnt.math.se.tmu.ac.jp was shut down in 2017]
PROG
(Magma) for k in[1..2000] do if Rank(EllipticCurve([0, 0, 0, 0, k])) eq 3 then print k; end if; end for; // Vaclav Kotesovec, Jul 07 2019
KEYWORD
nonn
AUTHOR
James R. Buddenhagen, Feb 18 2005. Entry revised by N. J. A. Sloane, Jun 10 2012
EXTENSIONS
More terms from T. D. Noe, Jul 24 2007
STATUS
approved