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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 #5 Jul 21 2016 14:47:25

%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 April 16 05:35 EDT 2024. Contains 371697 sequences. (Running on oeis4.)