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.
%I A060838 #71 Feb 17 2022 00:09:57
%S A060838 0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,2,1,0,1,0,0,0,1,0,1,0,2,1,0,1,1,
%T A060838 1,0,2,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,2,0,1,1,
%U A060838 1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,1,1
%N A060838 Rank of elliptic curve x^3 + y^3 = n.
%C A060838 The elliptic curve X^3 + Y^3 = D*Z^3 where D is a rational integer has a birationally equivalent form y^2*z = x^3 - 2^4*3^3*D^2*z^3 where x = 2^2*3*D*Z, y = 2^2*3^3*D*(Y - X), z = X + Y (see p. 123 of Stephens). Taking z = 1 and 2^2*3^3 = 432 yields y^2 = x^3 - 432*D^2, which is the Weierstrass form of the elliptic curve used by John Voight in the Magma program below. - _Ralf Steiner_, Nov 11 2017
%C A060838 Zagier and Kramarz studied the analytic rank of the curve E: x^3 + y^3 = m, where m is cubefree. They computed L(E,1) for 0 < m <= 70000 and also L'(E,1) if the sign of the functional equation for L(E,1) was negative. In the second case the range was only 0 < m <= 20000. - Attila Pethő, Posting to the Number Theory List, Nov 11 2017
%H A060838 John Voight and Joseph L. Wetherell, <a href="/A060838/b060838.txt">Table of n, a(n) for n = 1..10000</a>
%H A060838 Nakao Hisayasu, <a href="http://www.kaynet.or.jp/~kay/misc/nna2.html">Tables of the rank and rational points for the elliptic curve x^3 + y^3 = n for n cubefree, 1<=n<=200</a> (text in Japanese)
%H A060838 Nakao Hisayasu, <a href="http://www.kaynet.or.jp/~kay/misc/nna3.html">Tables of the rank and rational points for the elliptic curve x^3 + y^3 = n for n cubefree, 201<=n<=500</a> (text in Japanese)
%H A060838 Nakao Hisayasu, <a href="http://www.kaynet.or.jp/~kay/misc/nna4.html">Tables of the rank and rational points for the elliptic curve x^3 + y^3 = n for n cubefree, 501<=n<=1000</a> (text in Japanese)
%H A060838 Nakao Hisayasu, <a href="http://www.kaynet.or.jp/~kay/misc/nna5.html">Tables of the rank and rational points for the elliptic curve x^3 + y^3 = n for n cubefree, 1001<=n<=1500</a> (text in Japanese)
%H A060838 Nakao Hisayasu, <a href="http://www.kaynet.or.jp/~kay/misc/nna6.html">Tables of the rank and rational points for the elliptic curve x^3 + y^3 = n for n cubefree, 1501<=n<=2000</a> (text in Japanese)
%H A060838 Nakao Hisayasu, <a href="http://www.kaynet.or.jp/~kay/misc/nna7.html">Tables of the rank and rational points for the elliptic curve x^3 + y^3 = n for n cubefree, 2001<=n<=2500</a> (text in Japanese)
%H A060838 ...
%H A060838 Nakao Hisayasu, <a href="http://www.kaynet.or.jp/~kay/misc/nna20.html">Tables of the rank and rational points for the elliptic curve x^3 + y^3 = n for n cubefree, 8501<=n<=9000</a> (text in Japanese)
%H A060838 Nakao Hisayasu, <a href="http://www.kaynet.or.jp/~kay/misc/nna21.html">Tables of the rank and rational points for the elliptic curve x^3 + y^3 = n for n cubefree, 9001<=n<=9500</a> (text in Japanese)
%H A060838 Nakao Hisayasu, <a href="http://www.kaynet.or.jp/~kay/misc/nna22.html">Tables of the rank and rational points for the elliptic curve x^3 + y^3 = n for n cubefree, 9501<=n<=10000</a> (text in Japanese)
%H A060838 N. M. Stephens, <a href="https://doi.org/10.1515/crll.1968.231.121">The Diophantine equation X^3 + Y^3 = D Z^3 and the conjectures of Birch and Swinnerton-Dyer</a>, J. Reine Angew. Math. 231 (1968), 121-162.
%H A060838 D. Zagier and G. Kramarz, <a href="http://www.informaticsjournals.com/index.php/jims/article/view/21978">Numerical investigations related to the L-series of certain elliptic curves</a>, J. Indian Math. Soc. 52 (1987), 51-60 (the Ramanujan Centenary volume).
%o A060838 (Magma)
%o A060838 seq := [];
%o A060838 M := 10000;
%o A060838 for m := 1 to M do
%o A060838 E := EllipticCurve([0,-432*m^2]);
%o A060838 Append(~seq, Rank(E));
%o A060838 end for;
%o A060838 seq;
%o A060838 // John Voight, Nov 02 2017
%o A060838 (PARI) {a(n) = ellanalyticrank(ellinit([0, 0, 0, 0, -432*n^2]))[1]} \\ _Seiichi Manyama_, Aug 25 2019
%Y A060838 Cf. A060748 (positions of records in this sequence), A060950.
%K A060838 nonn,nice
%O A060838 1,19
%A A060838 Noam Katz (noamkj(AT)hotmail.com), May 02 2001
%E A060838 Many thanks to _Andrew V. Sutherland_, John Voight, and _Joseph L. Wetherell_, who all responded to my request for additional terms for this sequence. - _N. J. A. Sloane_, Nov 01 2017