A076329 Numbers k for which rank of the elliptic curve y^2=x^3+k*x is 2.

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

Offset

1,1

References

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 Swinnerton-Dyer" in Les Dossiers de La Recherche, pp. 48-53 No. 20 August-October 2005 Paris.

Links

Table of n, a(n) for n=1..57.

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

A. L. Robledo, PlanetMath.org, Birch and Swinnerton-Dyer conjecture.

W. A. Stein, The Birch and Swinnerton-Dyer Conjecture, Part 1.

W. A. Stein, The Birch and Swinnerton-Dyer Conjecture, Part 2.

W. A. Stein, The Birch and Swinnerton-Dyer Conjecture, Part 3.

Wikipedia, Birch and Swinnerton-Dyer 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. A002150-A002159.

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