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A002151 Numbers n for which rank of the elliptic curve y^2=x^3+n is 0.
(Formerly M3271 N1321)
+0
6
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 (list; graph; listen)
OFFSET

1,2

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

B. J. Birch and H. P. F. Swinnerton-Dyer, Notes on elliptic curves, I, J. Reine Angew. Math., 212 (1963), 7-25.

LINKS

T. D. Noe, Table of n, a(n) for n=1..2907 (using Gebel)

L. Lehman, Elliptic Curves of Rank Zero

H. Mishima, Tables of Elliptic Curves

J. Gebel, Integer points on Mordell curves

CROSSREFS

Cf. A060950, A002153, A002155, A102833, A060748, A060838, A060951-A060953.

Adjacent sequences: A002148 A002149 A002150 this_sequence A002152 A002153 A002154

Sequence in context: A102142 A102144 A102138 this_sequence A054063 A112917 A102141

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Corrected and extended by James Buddenhagen (jbuddenh(AT)gmail.com), Feb 18 2005

The missing entry 123 was added by T. D. Noe, Jul 24 2007

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Last modified November 3 12:59 EST 2009. Contains 165766 sequences.


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