{
  "id": 44,
  "curve_key": "480576:-299721600",
  "ainvs": [
    "0",
    "0",
    "0",
    "-10012",
    "346900"
  ],
  "rank_lower_bound": 7,
  "naive_height": 39.24822199037867,
  "faltings_height": 1.2446863772490515,
  "conductor": "382623908456",
  "bad_primes": [
    "2",
    "47827988557"
  ],
  "discriminant": "12243965070592",
  "regulator": "4318.994211976314485322288857542918022772937787830133",
  "points": [
    [
      "-114",
      "82"
    ],
    [
      "-111",
      "301"
    ],
    [
      "-106",
      "466"
    ],
    [
      "-102",
      "554"
    ],
    [
      "-100",
      "590"
    ],
    [
      "-98",
      "622"
    ],
    [
      "-79",
      "803"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Lowest-conductor rank 7 curve in the Sage/Watkins elliptic-curves database: [0, 0, 0, -10012, 346900], conductor 382623908456. The submitted integral points were found by an exact search and certified independent by the site verifier.",
  "created_at": "2026-05-28 05:01:41",
  "updated_at": "2026-07-01 22:56:23"
}