{
  "id": 78,
  "curve_key": "9687081:-30131698005",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-201814",
    "34925104"
  ],
  "rank_lower_bound": 8,
  "naive_height": 48.258911100286376,
  "faltings_height": 1.7773692846159097,
  "conductor": "321754587851786",
  "bad_primes": [
    "2",
    "2710699",
    "59349007"
  ],
  "discriminant": "643509175703572",
  "regulator": "6527.55172023458019453817713717187218224406628323898374",
  "points": [
    [
      "-5",
      "-5992"
    ],
    [
      "-18",
      "-6200"
    ],
    [
      "40",
      "5168"
    ],
    [
      "62",
      "4728"
    ],
    [
      "-69",
      "-6931"
    ],
    [
      "79",
      "4373"
    ],
    [
      "113",
      "3625"
    ],
    [
      "154",
      "2658"
    ]
  ],
  "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: [1,-1,0,-201814,34925104], |Delta|=643509175703572, I=109. The submitted integral points give the rank >= 8 witness checked by the site.",
  "created_at": "2026-06-02 18:44:31",
  "updated_at": "2026-07-01 22:55:24"
}