{
  "id": 3060,
  "curve_key": "674707568640829021322142331456:-935601663551172501072548875308316049112107104",
  "ainvs": [
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  "rank_lower_bound": 8,
  "torsion": [
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  "naive_height": 207.09952743703295,
  "faltings_height": 15.296028624674477,
  "conductor": "28662861085935403583774269180",
  "bad_primes": [
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    "11",
    "13",
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    "19",
    "31",
    "61",
    "71",
    "79",
    "163",
    "241",
    "661",
    "1129",
    "99787"
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  "discriminant": "-328821262620771793088860257067339220144043090605989193354654489213312501742573604750000",
  "regulator": "16531353.2605234007791993764344309609858582214625929165",
  "points": [
    [
      "59634286205865",
      "675797879291569588125"
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    [
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      "1311830107876079631125"
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    [
      "-145856174368105",
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    [
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    [
      "-142604450061560",
      "432862940841014483800"
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  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella - Peral (2020). Source: https://dujella.github.io/tors/z6old678.html (curve entry 59). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:35:25",
  "updated_at": "2026-09-26 20:35:25"
}