{
  "id": 3247,
  "curve_key": "25632:-4105944",
  "ainvs": [
    "0",
    "0",
    "1",
    "-534",
    "4752"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    3
  ],
  "naive_height": 30.455892475780637,
  "faltings_height": 0.2900825715935227,
  "conductor": "153",
  "bad_primes": [
    "3",
    "17"
  ],
  "discriminant": "-10744731",
  "regulator": "0.3386692155049187147489901770147896127612",
  "points": [
    [
      "14",
      "4"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 153b2 = LMFDB 153.b1: https://www.lmfdb.org/EllipticCurve/Q/153/b/1\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 153, minimal discriminant -10744731, torsion ℤ/3ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:45:25",
  "updated_at": "2026-09-26 20:45:25"
}