{
  "id": 116,
  "curve_key": "442897:-294730201",
  "ainvs": [
    "1",
    "0",
    "0",
    "-9227",
    "340354"
  ],
  "rank_lower_bound": 6,
  "naive_height": 39.003277549050914,
  "faltings_height": 0.9339172453151712,
  "conductor": "6822208199",
  "bad_primes": [
    "6822208199"
  ],
  "discriminant": "6822208199",
  "regulator": "207.82607512733307132827843581134934911794454010300",
  "points": [
    [
      "55",
      "-27"
    ],
    [
      "54",
      "-10"
    ],
    [
      "57",
      "-8"
    ],
    [
      "49",
      "56"
    ],
    [
      "62",
      "56"
    ],
    [
      "89",
      "431"
    ]
  ],
  "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 00:08:19",
  "updated_at": "2026-07-01 22:59:17"
}