{
  "id": 3152,
  "curve_key": "296793:-152979165",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-6183",
    "178605"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    2,
    2
  ],
  "naive_height": 37.80237061527472,
  "faltings_height": 1.09331276392499,
  "conductor": "5382",
  "bad_primes": [
    "2",
    "3",
    "13",
    "23"
  ],
  "discriminant": "1586058134544",
  "regulator": "0.973591903612835960313969206897904279068373",
  "points": [
    [
      "66",
      "201"
    ],
    [
      "118",
      "981"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 5382g2 = LMFDB 5382.b3: https://www.lmfdb.org/EllipticCurve/Q/5382/b/3\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 5382, minimal discriminant 1586058134544, torsion ℤ/2ℤ × ℤ/2ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:39:49",
  "updated_at": "2026-09-26 20:39:49"
}