Generalized Mestre/Fermigier quartic family at integer Mestre parameters (u,v)=(2,6), canonical primitive root sextuple [0,432,707,1426,1606,2075], specialized at T=2564/5 (equivalently roots [1041/16,-517/8,167/8,-385/16,609/16,-565/16] at T=641/20). Selected by a native M=6000 Nagao rescore of a wide-denominator (n<=2000) sieve of the rational q<=3 Mestre families; the 12 family base points plus a quartic-model rational point search to height 1e5 and an integral-x search to 10^12 gave 20 independent points.
David Renshaw ·