New curve of rank >= 20 and naive height 223.316, found as the specialization T = 28917/10 (t = 28917/20) of the 2-parameter Mestre rank-12 family over Q(t) used by Fermigier in 'Une courbe elliptique definie sur Q de rang >= 22' (Acta Arith. 82 (1997), sextuple {0,55,314,378,1007,1036}), located by a staged Nagao-sum sieve over ~1.9M specializations; 20 independent points certified by positive-definite Neron-Tate height pairing.
David Renshaw · 2026-06-11 19:26:11