{
  "id": 43,
  "curve_key": "123961:-43023725",
  "ainvs": [
    "1",
    "1",
    "0",
    "-2582",
    "48720"
  ],
  "rank_lower_bound": 6,
  "naive_height": 35.18316683696271,
  "faltings_height": 0.8126178848463372,
  "conductor": "5187563742",
  "bad_primes": [
    "2",
    "3",
    "2777",
    "311341"
  ],
  "discriminant": "31125382452",
  "regulator": "273.08550765251130993828811941017090645271641479597",
  "points": [
    [
      "-59",
      "35"
    ],
    [
      "-58",
      "116"
    ],
    [
      "-57",
      "150"
    ],
    [
      "-53",
      "227"
    ],
    [
      "-40",
      "320"
    ],
    [
      "-32",
      "332"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Lowest-conductor rank 6 curve in the Sage/Watkins elliptic-curves database: [1, 1, 0, -2582, 48720], conductor 5187563742. The submitted integral points were found by an exact search and certified independent by the site verifier.",
  "created_at": "2026-05-28 05:01:18",
  "updated_at": "2026-07-01 22:59:17"
}