{
  "id": 4156,
  "curve_key": "85435405528928114457:-789349168045737077070110881149",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-1779904281852669051",
    "913598574571986576331351153"
  ],
  "rank_lower_bound": 16,
  "torsion": [],
  "naive_height": 137.68287682025624,
  "faltings_height": 9.217240154023662,
  "conductor": "911594839462721117866995363316612369336879170828342",
  "bad_primes": [
    "2",
    "3",
    "19",
    "888493995577700894607207956448939931127562544667"
  ],
  "discriminant": "311765435096250622310512414254281430313212676423292964",
  "regulator": "488160296529835.8724006649863584242892535947383162163860488631586061044",
  "points": [
    [
      "799447337",
      "-1264700229550"
    ],
    [
      "519234368",
      "11375105555609"
    ],
    [
      "879336029",
      "-5329157800126"
    ],
    [
      "1019761172",
      "-12609397295965"
    ],
    [
      "633944987",
      "-6325737811462"
    ],
    [
      "74756234",
      "27945577812467"
    ],
    [
      "736178096",
      "1499557442711"
    ],
    [
      "687813416",
      "3840530806313"
    ],
    [
      "-404578369",
      "-39591292743622"
    ],
    [
      "783615984",
      "-140628874951"
    ],
    [
      "3014441571/4",
      "3925325047441/8"
    ],
    [
      "542751893",
      "-10365395638366"
    ],
    [
      "809888811",
      "1815135825883"
    ],
    [
      "19621442876/25",
      "39597921938911/125"
    ],
    [
      "-1311028144",
      "31523898228791"
    ],
    [
      "-78831272/9",
      "823029979540531/27"
    ]
  ],
  "submitter": "Andrii Prokhorenkov",
  "history": [],
  "commentary": "Mestre construction: sextuple [-311, -241, -196, -123, 427, 444], T = 13; y^2 = r(x) with p(x-T)p(x+T) = g(x)^2 - r(x).",
  "created_at": "2026-10-11 17:18:28",
  "updated_at": "2026-10-11 17:18:28"
}