

A076329


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


7



14, 33, 34, 39, 46, 55, 63, 65, 66, 68, 73, 89, 94, 99, 105, 113, 114, 129, 138, 145, 150, 154, 155, 158, 178, 183, 185, 201, 203, 206, 209, 219, 224, 226, 233, 238, 254, 258, 260, 273, 274, 281, 289, 295, 299, 308, 310, 333, 334, 337, 345, 353, 354, 360, 385, 386, 388
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OFFSET

1,1


REFERENCES

B. J. Birch and H. P. F. SwinnertonDyer, Notes on elliptic curves, I, J. Reine Angew Math., 212 (1963), 725.
D. S. Jandu, Elliptic Curve, Infinite Bandwidth Publishing, N. Hollywood CA 2007.
D. S. Jandu, Birch And Swinnerton Dyer Conjecture, Infinite Bandwidth Publishing, N. Hollywood CA 2007.
D. Zagier & G. Harder, "La conjecture de Birch et SwinnertonDyer" in Les Dossiers de La Recherche, pp. 4853 No. 20 AugustOctober 2005 Paris.


LINKS

Table of n, a(n) for n=1..57.
A. L. Robledo, PlanetMath.org, Birch and SwinnertonDyer conjecture
W. A. Stein, The Birch and SwinnertonDyer Conjecture, Part 1
W. A. Stein, The Birch and SwinnertonDyer Conjecture, Part 2
W. A. Stein, The Birch and SwinnertonDyer Conjecture, Part 3
Wikipedia, Birch and SwinnertonDyer conjecture


PROG

(PARI) for(k=1, 1e3, if(ellanalyticrank(ellinit([0, 0, 0, k, 0]))[1]==2, print1(k", "))) \\ Seiichi Manyama, Jul 07 2019


CROSSREFS

Cf. A002150A002159.
Sequence in context: A018959 A225420 A107484 * A261560 A250186 A191676
Adjacent sequences: A076326 A076327 A076328 * A076330 A076331 A076332


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Nov 06 2002


EXTENSIONS

More terms added by Seiichi Manyama, Jul 07 2019


STATUS

approved



