cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A062693 Squarefree n such that the elliptic curve n*y^2 = x^3 - x arising in the "congruent number" problem has rank 3.

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%I A062693 #11 Mar 19 2019 12:54:18
%S A062693 1254,2605,2774,3502,4199,4669,4895,6286,6671,7230,7766,8005,9015,
%T A062693 9430,9654,10199,10549,11005,11029,12166,12270,12534,12935,13317,
%U A062693 14965,15655,16151,16206,16887,17958,18221,19046,19726,20005,20366
%N A062693 Squarefree n such that the elliptic curve n*y^2 = x^3 - x arising in the "congruent number" problem has rank 3.
%C A062693 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.
%H A062693 A. Dujella, A. S.Janfeda, S. Salami, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL12/Janfada/janfada3.html">A Search for High Rank Congruent Number Elliptic Curves</a>, JIS 12 (2009) 09.5.8.
%H A062693 N. D. Elkies, <a href="http://www.math.harvard.edu/~elkies/compnt.html">Algorithmic (a.k.a. Computational) Number Theory: Tables, Links, etc.</a>
%H A062693 Fidel Ronquillo Nemenzo, <a href="https://doi.org/10.3792/pjaa.74.29">All congruent numbers less than 40000</a>, Proc. Japan Acad. Ser. A Math. Sci., Volume 74, Number 1 (1998), 29-31. See Table IV p. 31.
%o A062693 (PARI) r(n)=ellanalyticrank(ellinit([0,0,0,-n^2,0]))[1]
%o A062693 for(n=1,1e4,if(r(n)==3,print1(n", "))) \\ _Charles R Greathouse IV_, Sep 01 2011
%Y A062693 Cf. A062694, A062695.
%K A062693 nonn
%O A062693 0,1
%A A062693 _Noam D. Elkies_, Jul 04 2001