{
  "id": 3373,
  "curve_key": "11458870417:-1226637769057849",
  "ainvs": [
    "1",
    "0",
    "0",
    "-238726467",
    "1419699746241"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    9
  ],
  "naive_height": 69.4861066006253,
  "faltings_height": 3.4138626612069936,
  "conductor": "810894",
  "bad_primes": [
    "2",
    "3",
    "7",
    "43",
    "449"
  ],
  "discriminant": "-14517616550358266666496",
  "regulator": "5.076247522799251002895404324525134830883",
  "points": [
    [
      "-2968",
      "1451345"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Found in a rational-parameter search of the Kubert–Tate family for torsion ℤ/9ℤ: y^2 + (1-c)xy - by = x^3 - bx^2 with c=t^2(t-1), b=c(t^2-t+1), at t = -6/1; converted to the global minimal model. The 1 witness points were found with PARI/GP ellrank. Conductor 810894, torsion ℤ/9ℤ.",
  "created_at": "2026-09-26 21:16:30",
  "updated_at": "2026-09-26 21:16:30"
}