from the searches earlier this year that found Curves 157, 158, 244 of ranks 12, 13, 14; this rank-11 curve now appears also in M.Rubinstein's github tables. It is not quite a record but has N very close to the curve (#50) from Elkies-Watkins 2004, and is one of several curves with N smaller than the second-smallest N from that paper (66484354768372183177742, for [1, -1, 0, -38099014, 115877816224]).
NDElkies ·