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Rank of elliptic curve y^2 = x^3 - n*x.
10

%I #12 Sep 16 2018 16:40:01

%S 0,1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,2,0,0,1,1,1,1,0,1,1,0,0,0,1,1,1,0,1,

%T 0,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,1,1,2,1,1,0,1,0,1,0,0,2,1,0,0,

%U 1,1,1,1,1,1,0,1,2,1,1,1,0,3,0,1,1,1,1,0,1,2,0,0

%N Rank of elliptic curve y^2 = x^3 - n*x.

%H Seiichi Manyama, <a href="/A060952/b060952.txt">Table of n, a(n) for n = 1..1000</a>

%H H. Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/ec/eca1/ec02rm.txt">Tables of Elliptic Curves</a>

%o (PARI) {a(n) = ellanalyticrank(ellinit([0, 0, 0, -n, 0]))[1]} \\ _Seiichi Manyama_, Sep 16 2018

%Y Cf. A060748, A060838, A060950-A060953.

%K nonn,nice

%O 1,17

%A _N. J. A. Sloane_, May 10 2001

%E Corrected Apr 08 2005 at the suggestion of _James R. Buddenhagen_. There were errors caused by the fact that Mishima lists each curve of rank two twice, once for each generator and each curve of rank three thrice.