{
  "id": 130,
  "curve_key": "3451161:-4755865725",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-71899",
    "5522449"
  ],
  "rank_lower_bound": 8,
  "naive_height": 45.162663762407796,
  "faltings_height": 1.7847536040199565,
  "conductor": "314658846776578",
  "bad_primes": [
    "2",
    "17",
    "487",
    "19003433191"
  ],
  "discriminant": "10698400790403652",
  "regulator": "4338.70733787285461646054617796147519133767881422521590",
  "points": [
    [
      "80",
      "487"
    ],
    [
      "216",
      "79"
    ],
    [
      "12",
      "2153"
    ],
    [
      "250",
      "1643"
    ],
    [
      "63",
      "1082"
    ],
    [
      "-260",
      "2697"
    ],
    [
      "-294",
      "1235"
    ],
    [
      "267",
      "2170"
    ]
  ],
  "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 00:08:37",
  "updated_at": "2026-07-01 22:55:23"
}