{
  "id": 108,
  "curve_key": "19929:-2917917",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-415",
    "3481"
  ],
  "rank_lower_bound": 5,
  "naive_height": 29.772761127041008,
  "faltings_height": 0.40394763752598917,
  "conductor": "34672310",
  "bad_primes": [
    "2",
    "5",
    "79",
    "43889"
  ],
  "discriminant": "-346723100",
  "regulator": "7.98812089828060622749800735401369801305082865558",
  "points": [
    [
      "8",
      "21"
    ],
    [
      "13",
      "6"
    ],
    [
      "18",
      "31"
    ],
    [
      "3",
      "46"
    ],
    [
      "12",
      "5"
    ]
  ],
  "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 00:08:09",
  "updated_at": "2026-07-01 23:03:08"
}