New curve of rank >= 19 and naive height 198.268, found as the specialization T = 3251/8 (t = 3251/16) 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 an exhaustive minimal-height scan crossed with a staged Nagao-sum sieve; 19 independent points certified by positive-definite Neron-Tate height pairing.
David Renshaw · 2026-06-11 18:51:20