{
  "id": 2852,
  "curve_key": "23398033:-113179258009",
  "ainvs": [
    "1",
    "0",
    "0",
    "-487459",
    "130953890"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    8
  ],
  "naive_height": 50.90448755089693,
  "faltings_height": 1.8518536032590387,
  "conductor": "6279",
  "bad_primes": [
    "3",
    "7",
    "13",
    "23"
  ],
  "discriminant": "74465610327927",
  "regulator": "4.425147104430700252296842528635894503574",
  "points": [
    [
      "6413",
      "507440"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 6279i4 = LMFDB 6279.f2: https://www.lmfdb.org/EllipticCurve/Q/6279/f/2\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 6279, minimal discriminant 74465610327927, torsion ℤ/8ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:25:21",
  "updated_at": "2026-09-26 20:25:21"
}