{
  "id": 128,
  "curve_key": "1066615641:-35239308179805",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-22221159",
    "40791791609"
  ],
  "rank_lower_bound": 7,
  "naive_height": 62.38636657025946,
  "faltings_height": 3.069903693575893,
  "conductor": "13077343449126",
  "bad_primes": [
    "2",
    "3",
    "11",
    "23",
    "419",
    "6853501"
  ],
  "discriminant": "-16408200601321750438668",
  "regulator": "244.7081168123110517424651740118236827089076400521766",
  "points": [
    [
      "3055",
      "36043"
    ],
    [
      "2296",
      "42115"
    ],
    [
      "778",
      "154447"
    ],
    [
      "1537",
      "100558"
    ],
    [
      "272",
      "186325"
    ],
    [
      "-3017",
      "284995"
    ],
    [
      "1240",
      "122437"
    ]
  ],
  "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 00:08:34",
  "updated_at": "2026-07-01 22:57:21"
}