{
  "id": 1802,
  "curve_key": "69335601961372385129092280950103577394140909642225:-483772248385596363958862305377572536586444705791993691318157406849710551625",
  "ainvs": [
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  "rank_lower_bound": 12,
  "torsion": [
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  "naive_height": 344.28912892442645,
  "faltings_height": 26.688877532072777,
  "conductor": "22849025621835725749454395101099261802452962113733638743150",
  "bad_primes": [
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    "12379",
    "362707",
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  "discriminant": "57459587060568346526411497511414303188663056470735043434542454028394906031620087025662290300911169325668216298192719212022528766515354009600000000",
  "regulator": "5868464385890.1914216628033196847720602717481849275530270032791",
  "points": [
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      "-7355680099955426717481581/81",
      "-605705671933225602690651446390633849125/729"
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  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Rank 12 with torsion Z/2Z x Z/2Z induced by a rational Diophantine triple (Dujella-Peral, RACSAM 113 (2019)); witness points from the paper.",
  "created_at": "2026-09-25 15:05:02",
  "updated_at": "2026-09-25 15:05:02"
}