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].

42486, 68839, 80189, 82205, 83845, 88502, 92045, 112326, 116645, 125749, 142222, 182005, 199805, 202742, 270805, 275286, 282613, 287246, 295222, 342205, 372742, 392502, 440453, 450079, 473263, 477581, 487302, 488047

Offset

0,1

Comments

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.

Links

Table of n, a(n) for n=0..27.

A. Dujella, A. S.Janfeda, S. Salami, A Search for High Rank Congruent Number Elliptic Curves, JIS 12 (2009) 09.5.8

N. D. Elkies, Algorithmic (a.k.a. Computational) Number Theory: Tables, Links, etc.

Crossrefs

Cf. A062693, A062695.

Sequence in context: A031670 A237312 A217164 * A210264 A251245 A187959

Adjacent sequences: A062691 A062692 A062693 * A062695 A062696 A062697

Keyword

nonn,changed

Author

Noam D. Elkies, Jul 04 2001

Status

approved