{
  "id": 1643,
  "curve_key": "0:-26315556163427544566555489954400",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "30457819633596695100179965225"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    3
  ],
  "naive_height": 144.69542608649613,
  "faltings_height": 10.115608082999639,
  "conductor": "1096481506809481023606478748100",
  "bad_primes": [
    "2",
    "3",
    "5",
    "37",
    "41",
    "53",
    "73",
    "1231",
    "4831"
  ],
  "discriminant": "-400757231591729993446722088575452627149103694832314417870000",
  "regulator": "135878067.27641203761587464960686862946108288332719301438",
  "points": [
    [
      "5130038900",
      "406775844709485"
    ],
    [
      "255881692910",
      "129437232221555535"
    ],
    [
      "224878383254",
      "106640493699154017"
    ],
    [
      "291207945620",
      "157146639625792365"
    ],
    [
      "25120488440",
      "3985280944128435"
    ],
    [
      "-2676929565",
      "-106184137901590"
    ],
    [
      "-1628027676",
      "161687273530643"
    ],
    [
      "2918890200",
      "235215923409485"
    ],
    [
      "-872639080",
      "172607374924365"
    ]
  ],
  "submitter": "NDElkies",
  "history": [],
  "commentary": "3-isogenous to a twisted Fermat cubic from Nick Rogers' thesis (~2004).",
  "created_at": "2026-09-25 02:15:22",
  "updated_at": "2026-09-25 02:15:22"
}