{
  "id": 115,
  "curve_key": "3031041:-5241135105",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-63147",
    "6081915"
  ],
  "rank_lower_bound": 6,
  "naive_height": 44.773250048511805,
  "faltings_height": 1.5797551720520981,
  "conductor": "6663562874",
  "bad_primes": [
    "2",
    "523",
    "6370519"
  ],
  "discriminant": "218351628255232",
  "regulator": "54.245797479930550808197728346032949250551289682168",
  "points": [
    [
      "171",
      "426"
    ],
    [
      "107",
      "682"
    ],
    [
      "155",
      "-70"
    ],
    [
      "43",
      "1834"
    ],
    [
      "203",
      "1162"
    ],
    [
      "131",
      "146"
    ]
  ],
  "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 00:08:18",
  "updated_at": "2026-07-01 22:59:18"
}