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A062694 Squarefree n such that the elliptic curve n*y^2 = x^3 - x arising in the "congruent number" problem has rank 3 and nontrivial SHA[2]. 2

%I

%S 42486,68839,80189,82205,83845,88502,92045,112326,116645,125749,

%T 142222,182005,199805,202742,270805,275286,282613,287246,295222,

%U 342205,372742,392502,440453,450079,473263,477581,487302,488047

%N Squarefree n such that the elliptic curve n*y^2 = x^3 - x arising in the "congruent number" problem has rank 3 and nontrivial SHA[2].

%C 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 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 N. D. Elkies, <a href="http://www.math.harvard.edu/~elkies/compnt.html">Algorithmic (a.k.a. Computational) Number Theory: Tables, Links, etc.</a>

%Y Cf. A062693, A062695.

%K nonn

%O 0,1

%A _Noam D. Elkies_, Jul 04 2001

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Last modified October 19 22:55 EDT 2019. Contains 328244 sequences. (Running on oeis4.)