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A002151
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Numbers k for which rank of the elliptic curve y^2 = x^3 + k is 0.
(Formerly M3271 N1321)
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13
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1, 4, 6, 7, 13, 14, 16, 20, 21, 23, 25, 27, 29, 32, 34, 42, 45, 49, 51, 53, 59, 60, 64, 70, 75, 78, 81, 84, 85, 86, 87, 88, 90, 93, 95, 96, 104, 109, 114, 115, 116, 123, 124, 125, 135, 137, 140, 144, 153, 157, 158, 159, 160, 162, 165, 167, 173, 175, 176, 178
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OFFSET
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1,2
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REFERENCES
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N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..2907 (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]
L. Lehman, Elliptic Curves of Rank Zero
H. Mishima, Tables of Elliptic Curves
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PROG
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(MAGMA) for k in[1..200] do if Rank(EllipticCurve([0, 0, 0, 0, k])) eq 0 then print k; end if; end for; // Vaclav Kotesovec, Jul 07 2019
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CROSSREFS
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Cf. A060950, A002153, A002155, A102833, A060748, A060838, A060951-A060953.
Sequence in context: A302165 A102144 A102138 * A276931 A192046 A286488
Adjacent sequences: A002148 A002149 A002150 * A002152 A002153 A002154
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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Corrected and extended by James R. Buddenhagen, Feb 18 2005
The missing entry 123 was added by T. D. Noe, Jul 24 2007
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STATUS
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approved
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