A new canonical curve from the Mestre-Fermigier family on [348,-600,-216,492,876,-900] at the fresh integer shift t=781. Completing p6(x-t)p6(x+t) and removing square content gives Y^2=4001161*x^4-60808320*x^3-1036031133986*x^2-38029624675200*x+46823070345440729. Its 11 generic construction directions are enlarged by five independent points found in hyperellratpoints(Q,[1000000,2000]), with primitive-quartic sources (-293,6467696), (536,222888923), (-1169/3,119790416/9), (4739/3,42286639784/9), and (1631/9,8043119288/81); these map respectively to the final five displayed witnesses. The ICARM exact Cremona/Brumer verifier certifies all 16 points. No parity or BSD assumption is used.
Jack Cheng · 2026-08-24 08:01:40 UTC