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A002155 Numbers n for which rank of the elliptic curve y^2=x^3+n is 2.
(Formerly M4957 N2125)
12
15, 17, 24, 37, 43, 57, 63, 65, 73, 79, 89, 101, 106, 122, 129, 131, 142, 145, 148, 151, 161, 164, 168, 171, 186, 195, 197, 198, 204, 217, 222, 223, 225, 229, 232, 233, 248, 252, 260, 265, 268, 269, 281, 294, 295, 297, 303, 322, 331, 337, 347, 350, 353, 360, 366, 369, 373, 377, 381, 388, 389, 392, 404, 409, 412, 414, 433, 449, 464, 469, 481, 483, 485, 492 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

REFERENCES

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).

LINKS

T. D. Noe, Table of n, a(n) for n=1..1724 (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

L. Lehman, Elliptic Curves of Rank Two [broken link]

H. Mishima, Tables of Elliptic Curves

CROSSREFS

Cf. A060950, A002151, A002153, A102833, A060748, A060838, A060951-A060953.

Sequence in context: A183981 A155111 A124334 * A091017 A157716 A113968

Adjacent sequences:  A002152 A002153 A002154 * A002156 A002157 A002158

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

More terms from James Buddenhagen (jbuddenh(AT)gmail.com), Feb 18 2005

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Last modified February 16 17:48 EST 2012. Contains 205939 sequences.