Torsion Z/12 certified by gp elltors on the global minimal model. HHVZ 2021 Thm 5 positive-rank family 2 (base curve 226a1, condition v^2 = t^4-2t^3+13t^2+4t+4) at t=4/3; witness point is the corresponding section (P=(x,y) with x = (t+1)^8 for family 2 / -(t+1)^2(t-1)^6 for family 1 / (3/4)(t+1)^4(t-1)^4 for family 3), non-torsion by gp ellorder. Low-height supply run for the Z/12 rank>=1 naive top-10 (previous 10th = 116.52).
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