{
  "id": 112,
  "curve_key": "339696:-203486040",
  "ainvs": [
    "0",
    "0",
    "1",
    "-7077",
    "235516"
  ],
  "rank_lower_bound": 6,
  "naive_height": 38.262215921970544,
  "faltings_height": 1.0981908982946418,
  "conductor": "5258110041",
  "bad_primes": [
    "3",
    "584234449"
  ],
  "discriminant": "-1277720739963",
  "regulator": "76.535132380495369224456093961543943630934899860102",
  "points": [
    [
      "46",
      "85"
    ],
    [
      "55",
      "112"
    ],
    [
      "64",
      "211"
    ],
    [
      "43",
      "103"
    ],
    [
      "19",
      "328"
    ],
    [
      "82",
      "454"
    ]
  ],
  "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 00:08:14",
  "updated_at": "2026-07-01 22:59:17"
}