{
  "id": 119,
  "curve_key": "18736:-4830040",
  "ainvs": [
    "0",
    "1",
    "1",
    "-390",
    "5460"
  ],
  "rank_lower_bound": 6,
  "naive_height": 30.780730614335926,
  "faltings_height": 0.6080932690520194,
  "conductor": "9694585723",
  "bad_primes": [
    "9694585723"
  ],
  "discriminant": "-9694585723",
  "regulator": "198.72083733594502037312969609344942463062529685365",
  "points": [
    [
      "12",
      "51"
    ],
    [
      "13",
      "52"
    ],
    [
      "5",
      "60"
    ],
    [
      "2",
      "68"
    ],
    [
      "17",
      "63"
    ],
    [
      "-4",
      "83"
    ]
  ],
  "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 00:08:23",
  "updated_at": "2026-07-01 22:58:19"
}