{
  "id": 3251,
  "curve_key": "0:-295704",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "342"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    3
  ],
  "naive_height": 25.194228465945226,
  "faltings_height": 0.157174947953731,
  "conductor": "36963",
  "bad_primes": [
    "3",
    "37"
  ],
  "discriminant": "-50602347",
  "regulator": "12.8827588595277393316032493740640654898495",
  "points": [
    [
      "12",
      "45"
    ],
    [
      "1110",
      "36981"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 36963f1 = LMFDB 36963.g2: https://www.lmfdb.org/EllipticCurve/Q/36963/g/2\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 36963, minimal discriminant -50602347, torsion ℤ/3ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:46:04",
  "updated_at": "2026-09-26 20:46:04"
}