{
  "id": 139,
  "curve_key": "2730287721:-145695022596405",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-56880994",
    "168642718624"
  ],
  "rank_lower_bound": 11,
  "naive_height": 65.22507333308967,
  "faltings_height": 3.333050043452092,
  "conductor": "252948166615918192888894",
  "bad_primes": [
    "2",
    "1601",
    "78996928986857649247"
  ],
  "discriminant": "-505896333231836385777788",
  "regulator": "91182620.3414038712920906292443019334784271018144625666456613",
  "points": [
    [
      "4432",
      "57680"
    ],
    [
      "4198",
      "59750"
    ],
    [
      "4568",
      "61852"
    ],
    [
      "4056",
      "66140"
    ],
    [
      "4606",
      "63654"
    ],
    [
      "4018",
      "68352"
    ],
    [
      "3986",
      "70350"
    ],
    [
      "4654",
      "66278"
    ],
    [
      "4688",
      "68352"
    ],
    [
      "3830",
      "81508"
    ],
    [
      "3738",
      "88910"
    ]
  ],
  "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 00:08:48",
  "updated_at": "2026-07-01 22:48:35"
}