{
  "id": 3306,
  "curve_key": "118081:-40585697",
  "ainvs": [
    "1",
    "1",
    "1",
    "-2460",
    "45949"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    5
  ],
  "naive_height": 35.037852543725286,
  "faltings_height": 0.6432296914472452,
  "conductor": "862",
  "bad_primes": [
    "2",
    "431"
  ],
  "discriminant": "-451936256",
  "regulator": "2.137778577888988860281515907617440528250",
  "points": [
    [
      "23",
      "35"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 862e1 = LMFDB 862.d1: https://www.lmfdb.org/EllipticCurve/Q/862/d/1\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 862, minimal discriminant -451936256, torsion ℤ/5ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:55:00",
  "updated_at": "2026-09-26 20:55:00"
}