{
  "id": 4022,
  "curve_key": "109785209472353725567579659084128491401:-1149433306192386735708358841755911466407667574101391434149",
  "ainvs": [
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    "-1",
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  "rank_lower_bound": 17,
  "torsion": [
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  "naive_height": 262.7747674905857,
  "faltings_height": 19.661592740630876,
  "conductor": "279371967069651688648184842896025457250762762386873734247421810",
  "bad_primes": [
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    "7",
    "11",
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    "41",
    "47",
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    "314903",
    "743923",
    "190467271"
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  "discriminant": "1169787669604983392589943132061668014738167621150030551850284500237937965631973637474161448965305082826937500",
  "regulator": "13904094091008699312191589306817.8592397894555608686222346713019328469135",
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      "154295224876018538375642547463484833271406554065835159207579786775736612564616632925163730295795861599207767687963228542018555199934950092421431/122942230016699904458540558977420840062307938371806172061254115250065019974547945206412928297662310912723618481161596928"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3565 (source contributor: Matej Jurasić). Source equation and witness provenance are credited to that entry. Exact rank 17: 17 independent points certified by the unchanged ICARM verifier, with a matching unconditional upper bound computed using PARI/GP 2.17.2 ellrank. This is an additional representative of a known isogeny class, not a claim of a new world rank record.",
  "created_at": "2026-10-05 04:47:37",
  "updated_at": "2026-10-05 04:47:37"
}