{
  "id": 1090,
  "curve_key": "187870851247533006598043998434424081:-69650688321484616727571476066944115082127951688724729",
  "ainvs": [
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  "rank_lower_bound": 4,
  "torsion": [
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  "naive_height": 243.66318850235407,
  "faltings_height": 18.297670819797393,
  "conductor": "6580537988822228363790",
  "bad_primes": [
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    "31",
    "41",
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  "discriminant": "1029958981973062046086433480865385408697349408756911021069398678111359304410195548643388293120000000000",
  "regulator": "35741.23869187988833355075333463466964826814821",
  "points": [
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      "145126829591796568531936/528529",
      "53943123228441855079366471262433889/384240583"
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  ],
  "submitter": "dujella",
  "history": [],
  "commentary": "found by Dujella (2005)",
  "created_at": "2026-09-23 18:23:59",
  "updated_at": "2026-09-23 18:23:59"
}