{
  "id": 2958,
  "curve_key": "817:-250921",
  "ainvs": [
    "1",
    "0",
    "0",
    "-17",
    "289"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    3
  ],
  "naive_height": 24.86578685507342,
  "faltings_height": 0.12996555661623052,
  "conductor": "31246",
  "bad_primes": [
    "2",
    "17",
    "919"
  ],
  "discriminant": "-36120376",
  "regulator": "4.30582787846624011247330565938773287746005",
  "points": [
    [
      "4",
      "15"
    ],
    [
      "12",
      "37"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 31246h1 = LMFDB 31246.d1: https://www.lmfdb.org/EllipticCurve/Q/31246/d/1\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 31246, minimal discriminant -36120376, torsion ℤ/3ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:30:06",
  "updated_at": "2026-09-26 20:30:06"
}