{
  "id": 1097,
  "curve_key": "82193808771605657296:-765320795804000213168814245656",
  "ainvs": [
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  "rank_lower_bound": 6,
  "torsion": [
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  "naive_height": 137.6201851953744,
  "faltings_height": 9.376796414299534,
  "conductor": "1749206417745070515",
  "bad_primes": [
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    "11",
    "19",
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    "1409",
    "10864429"
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  "discriminant": "-17609469014349995847741721132416039358639359071957896875",
  "regulator": "15359.907520934844123291811817890327384872481486283",
  "points": [
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    [
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    [
      "680848091",
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      "-206499124",
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    [
      "676477901",
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  ],
  "submitter": "dujella",
  "history": [],
  "commentary": "found by Dujella - Lecacheux (2001)",
  "created_at": "2026-09-23 18:55:21",
  "updated_at": "2026-09-23 18:55:21"
}