A102833 Numbers n for which rank of the elliptic curve y^2=x^3+n is 3.

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]

H. Mishima, Tables of Elliptic Curves

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

Crossrefs

Cf. A060950, A002151, A002153, A002155, A060748, A060838, A060951-A060953.

Sequence in context: A124584 A074979 A164920 * A136078 A230255 A167631

Adjacent sequences: A102830 A102831 A102832 * A102834 A102835 A102836

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