Rank ≥14. Mestre–Fermigier construction from the integer 6-tuple a=[-498, -216, -6, 414, 552, -246] with shift t=267/2: let p6(x)=∏(x−a_i) and q(x)=p6(x−t)·p6(x+t); completing q to g(x)²−r(x) gives the genus-1 quartic model y²=r(x), whose x=a_i±t base points plus a few small-x extra points supply 14 independent rational points. The shift t was selected by a Nagao–Mestre prime-sum sieve; the witness points were found by an integer quartic-point search and certified independent via the Néron–Tate height-pairing matrix.
Seewoo Lee · 2026-06-25 16:03:24
Rank 14 curve from a Mestre-Fermigier 6-tuple specialization; tuple=[-498, -216, -6, 414, 552, -246], t=267/2. Found via Nagao-Mestre sieve + quartic point search.
Seewoo Lee · 2026-06-25 16:10:04
Seewoo Lee · 2026-06-25 16:03:24