{
  "id": 3330,
  "curve_key": "28273849:-150340987693",
  "ainvs": [
    "1",
    "0",
    "1",
    "-589039",
    "173956686"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6
  ],
  "naive_height": 51.47234361539776,
  "faltings_height": 1.7448900748414884,
  "conductor": "392630",
  "bad_primes": [
    "2",
    "5",
    "7",
    "71",
    "79"
  ],
  "discriminant": "138547348100",
  "regulator": "11.0288622414088101401665668814870551477974",
  "points": [
    [
      "436",
      "37"
    ],
    [
      "219",
      "7338"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 392630a1 = LMFDB 392630.a2: https://www.lmfdb.org/EllipticCurve/Q/392630/a/2\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 392630, minimal discriminant 138547348100, torsion ℤ/6ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:58:53",
  "updated_at": "2026-09-26 20:58:53"
}