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%I A060953
%S A060953 0,0,1,0,1,0,0,1,1,0,0,0,1,2,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,2,2,1,
%T A060953 0,1,0,2,1,0,0,0,0,0,2,1,1,1,0,1,0,1,0,2,1,0,0,0,1,1,0,2,0,2,2,1,2,1,0,
%U A060953 0,0,2,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,2,1,0,1,1,2,1,0,0,1,2,1,1,0,0,1,2
%N A060953 Rank of elliptic curve y^2 = x^3 + n*x.
%H A060953 H. Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/ec/eca1/ec02rp.txt">
               Tables of Elliptic Curves</a>
%H A060953 F. Richman, <a href="http://www.math.fau.edu/Richman/elliptic.htm">Elliptic 
               curves</a>
%H A060953 K. Rubin and A. Silverberg, <a href="http://www.ams.org/bull/2002-39-04/
               S0273-0979-02-00952-7/home.html">Ranks of elliptic curves</a>
%o A060953 (PARI) { for(n=1,1000, E=ellinit([0,0,0,n,0]); print1(ellanalyticrank(E)[1],
               ","); ) } [From Max Alekseyev (maxale(AT)gmail.com), Mar 09 2009]
%Y A060953 Cf. A060748, A060838, A060950-A060953.
%Y A060953 Sequence in context: A115201 A118229 A117201 this_sequence A082858 A115953 
               A143379
%Y A060953 Adjacent sequences: A060950 A060951 A060952 this_sequence A060954 A060955 
               A060956
%K A060953 nonn,nice
%O A060953 1,14
%A A060953 N. J. A. Sloane (njas(AT)research.att.com), May 10 2001
%E A060953 Lambert Klasen (Lambert.Klasen(AT)gmx.net), Mar 31 2005, kindly rechecked 
               this sequence against the Mishima web site and found no errors.
%E A060953 Corrected Apr 10 2005 at the suggestion of James Buddenhagen (jbuddenh(AT)gmail.com). 
               There were errors caused by the fact that Mishima lists each curve 
               of rank two twice, once for each generator.
%E A060953 Extended by Max Alekseyev (maxale(AT)gmail.com), Mar 09 2009

    
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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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