{
  "id": 129,
  "curve_key": "23119824:-110775805632",
  "ainvs": [
    "0",
    "0",
    "0",
    "-481663",
    "128212738"
  ],
  "rank_lower_bound": 8,
  "naive_height": 50.86860296784818,
  "faltings_height": 2.060643977084035,
  "conductor": "314214346667560",
  "bad_primes": [
    "2",
    "5",
    "7855358666689"
  ],
  "discriminant": "50274295466809600",
  "regulator": "3808.43724670657225361488978860267064159808223292200143",
  "points": [
    [
      "369",
      "850"
    ],
    [
      "429",
      "730"
    ],
    [
      "379",
      "320"
    ],
    [
      "449",
      "1570"
    ],
    [
      "479",
      "2720"
    ],
    [
      "249",
      "4870"
    ],
    [
      "229",
      "5470"
    ],
    [
      "381",
      "74"
    ]
  ],
  "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 00:08:35",
  "updated_at": "2026-07-01 22:55:24"
}