{
  "id": 58,
  "curve_key": "789136:-1209159640",
  "ainvs": [
    "0",
    "1",
    "1",
    "-16440",
    "1394010"
  ],
  "rank_lower_bound": 8,
  "naive_height": 41.826382885745815,
  "faltings_height": 1.524454279535257,
  "conductor": "561715239383323",
  "bad_primes": [
    "23382011",
    "24023393"
  ],
  "discriminant": "-561715239383323",
  "regulator": "49900.6667347885574015353067843339561342699573634387980",
  "points": [
    [
      "-159",
      "116"
    ],
    [
      "-151",
      "675"
    ],
    [
      "-140",
      "985"
    ],
    [
      "-138",
      "1026"
    ],
    [
      "-124",
      "1241"
    ],
    [
      "-114",
      "1341"
    ],
    [
      "-93",
      "1458"
    ],
    [
      "-91",
      "1464"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Provenance: Elkies-Watkins, \"Elliptic curves of large rank and small conductor\" (arXiv:math/0403374), Table 4 low absolute-discriminant list for r=8: [0,1,1,-16440,1394010], |Delta|=561715239383323; their I-column records 84 integral x-coordinates. The submitted points certify rank >= 8 here.",
  "created_at": "2026-05-29 00:04:00",
  "updated_at": "2026-07-01 22:54:25"
}