OFFSET

0,1

COMMENTS

Conjectural, as detailed in the pages from which it is extracted (see the first few links at the web site mentioned for details), but the conjecture is supported by much numerical and theoretical evidence.

LINKS

A. Dujella, A. S.Janfeda, S. Salami, A Search for High Rank Congruent Number Elliptic Curves, JIS 12 (2009) 09.5.8.

Fidel Ronquillo Nemenzo, All congruent numbers less than 40000, Proc. Japan Acad. Ser. A Math. Sci., Volume 74, Number 1 (1998), 29-31. See Table IV p. 31.

PROG

(PARI) r(n)=ellanalyticrank(ellinit([0, 0, 0, -n^2, 0]))[1]

for(n=1, 1e4, if(r(n)==3, print1(n", "))) \\ Charles R Greathouse IV, Sep 01 2011

CROSSREFS

KEYWORD

nonn

AUTHOR

Noam D. Elkies, Jul 04 2001

STATUS

approved