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Numbers k for which rank of the elliptic curve y^2=x^3+(k^2+6*k-3)*x^2-16*k*x is 2.
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%I #8 Jul 14 2019 11:56:34

%S 28,52,59,70,76,101,103,108,115,122,130,139,148,164,172,180,181,190,

%T 199,208,210,220,222,223,228,268,270,284,314,316,327,328,339,340,364,

%U 376,388,398,403,420,427,430,436,443,446,448,456,457,460,480,487,490,504,521,532,540

%N Numbers k for which rank of the elliptic curve y^2=x^3+(k^2+6*k-3)*x^2-16*k*x is 2.

%H Allan J. MacLeod, <a href="http://web.archive.org/web/20100125135648/http://maths.paisley.ac.uk/allanm/ECRNT/knight/knintro.htm">Knight's Problem</a>

%F A309144(a(n)) = 2.

%o (PARI) for(k=1, 1e3, if(ellanalyticrank(ellinit([0, k^2+6*k-3, 0, -16*k, 0]))[1]==2, print1(k", ")))

%Y Cf. A309144.

%K nonn

%O 1,1

%A _Seiichi Manyama_, Jul 14 2019