{
  "id": 3104,
  "curve_key": "1857163131857990289255947521:-61901689028257464636799690183609460599681",
  "ainvs": [
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    "0",
    "0",
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  "rank_lower_bound": 10,
  "torsion": [
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  "naive_height": 188.3665429090205,
  "faltings_height": 13.7120140773877,
  "conductor": "2595803905868706552568205926928490",
  "bad_primes": [
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    "3",
    "5",
    "13",
    "19",
    "29",
    "37",
    "61",
    "67",
    "571",
    "139898547573624998209"
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  "discriminant": "1489374127538416768478441778520288296944405332560416155670850260619264000000000",
  "regulator": "85830640.77008136881940944096515022856634153033585944253840",
  "points": [
    [
      "2020834202080",
      "1307747476141906960"
    ],
    [
      "-1413936357920",
      "-11114187406056493040"
    ],
    [
      "2042874944830",
      "1063208190423500710"
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    [
      "34040558580",
      "8386206101214516960"
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    [
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    [
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      "1754121626080",
      "3028903739399506960"
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    [
      "4911027872730",
      "280209611489120460"
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    [
      "2054214947920",
      "913467905280053920"
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  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Eroshkin - Siddiq - Voznyy (2023). Source: https://dujella.github.io/tors/z3old891011121314.html (curve entry 47). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:37:28",
  "updated_at": "2026-09-26 20:37:28"
}