{
  "id": 2040,
  "curve_key": "1238613599465047893241:-39869274157450029411999036272461",
  "ainvs": [
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    "0",
    "1",
    "-25804449988855164443",
    "46144993235639015061112806056"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    6
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  "naive_height": 145.7048389261304,
  "faltings_height": 10.107987549951604,
  "conductor": "3390853245957774330",
  "bad_primes": [
    "2",
    "3",
    "5",
    "19",
    "31",
    "37",
    "79",
    "229",
    "349",
    "467",
    "1759"
  ],
  "discriminant": "179789894294918924565156468868102108720817362621544067843750",
  "regulator": "1604562.8419753299129406127746968779492045101369725",
  "points": [
    [
      "5295482775/4",
      "-956783168325439/8"
    ],
    [
      "-1011019440",
      "-266833468846793"
    ],
    [
      "2182036804545/64",
      "-3189172327549009531/512"
    ],
    [
      "565222370",
      "178157838235122"
    ],
    [
      "24835651685/16",
      "6345496451051223/64"
    ],
    [
      "642258978630/169",
      "119650612397792254/2197"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1096 (Dujella (2005)).",
  "created_at": "2026-09-26 05:06:11",
  "updated_at": "2026-09-26 05:06:11"
}