{
  "id": 6234,
  "curve_key": "978009253775472195648:-30537608566478832405366975843840",
  "ainvs": [
    "0",
    "0",
    "0",
    "-20375192786989004076",
    "35344454359350500469174740560"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2,
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 144.99615241746295,
  "faltings_height": 9.873023544353424,
  "conductor": "1056738254468057369589312",
  "bad_primes": [
    "2",
    "3",
    "23",
    "47",
    "59",
    "131",
    "347",
    "491",
    "11329",
    "113761"
  ],
  "discriminant": "1691185507118640834738870867142462921826635458033486987264",
  "regulator": "12885076447.454587845006430024623161706607816319141883033",
  "points": [
    [
      "181054008569/64",
      "-9497422933791885/512"
    ],
    [
      "689859467249/196",
      "-233365826366797545/2744"
    ],
    [
      "338797805902209/4",
      "-6236068586457745863905/8"
    ],
    [
      "412232729874/121",
      "98455581685716800/1331"
    ],
    [
      "79172401361/16",
      "15102239969578905/64"
    ],
    [
      "24677663510969/8464",
      "20941735002494722515/778688"
    ],
    [
      "4744490227569/1600",
      "2023684244733071497/64000"
    ],
    [
      "4901363124259865/56644",
      "342685295561452042278045/13481272"
    ],
    [
      "3516136930226/1225",
      "-967232194656076224/42875"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "2-isogenous to curve#6082 (the images of its points under the isogeny, moved to the minimal model). Found by Claude (Anthropic) in a scan of the isogeny classes of all leaderboard curves.",
  "created_at": "2026-10-31 11:26:46",
  "updated_at": "2026-10-31 11:26:46"
}