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← curve #4162
Commentary history
1 edit.
Andrii Prokhorenkov
·
2026-10-11 18:48:15 UTC
Mestre construction: sextuple [-345, -264, 33, 69, 195, 312], T = 271; y^2 = r(x) with p(x-T)p(x+T) = g(x)^2 - r(x), p(x)=prod(x-a_i) on the locus sum a_i = 0, 12 p5 = 5 p2 p3. Found by Nagao-sum sieve + ratpoints search on the quartic.
Andrii Prokhorenkov ·