{
  "id": 127,
  "curve_key": "747696:-643573080",
  "ainvs": [
    "0",
    "0",
    "1",
    "-15577",
    "744876"
  ],
  "rank_lower_bound": 7,
  "naive_height": 40.57425527170349,
  "faltings_height": 1.2133517848099866,
  "conductor": "2206378706437",
  "bad_primes": [
    "2206378706437"
  ],
  "discriminant": "2206378706437",
  "regulator": "1153.178388687324427112843454112369052995943965950190",
  "points": [
    [
      "68",
      "8"
    ],
    [
      "76",
      "0"
    ],
    [
      "67",
      "44"
    ],
    [
      "77",
      "44"
    ],
    [
      "66",
      "65"
    ],
    [
      "78",
      "66"
    ],
    [
      "63",
      "116"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "From the tables of Elkies-Watkins 2004, 'Elliptic curves of large rank and small conductor' (ANTS-VI, arXiv:math/0403374): a low-conductor / low-discriminant curve of this rank that was absent from the leaderboard. Witness: a maximal independent set of rational points (Neron-Tate height pairing).",
  "created_at": "2026-06-24 00:08:33",
  "updated_at": "2026-07-01 22:57:20"
}