{
  "id": 126,
  "curve_key": "696217:-577740349",
  "ainvs": [
    "1",
    "0",
    "1",
    "-14505",
    "667472"
  ],
  "rank_lower_bound": 7,
  "naive_height": 40.3602500169959,
  "faltings_height": 1.2029509488548138,
  "conductor": "1066284226102",
  "bad_primes": [
    "2",
    "302213",
    "1764127"
  ],
  "discriminant": "2132568452204",
  "regulator": "933.7798366942692057650934863707616263994964142286268",
  "points": [
    [
      "65",
      "-14"
    ],
    [
      "75",
      "16"
    ],
    [
      "61",
      "72"
    ],
    [
      "59",
      "104"
    ],
    [
      "64",
      "16"
    ],
    [
      "89",
      "244"
    ],
    [
      "62",
      "55"
    ]
  ],
  "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 00:08:32",
  "updated_at": "2026-07-01 22:57:20"
}