{
  "id": 2835,
  "curve_key": "652602415687181042510808549887761:-15583734911514020003752976705405064491357488437241",
  "ainvs": [
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  "rank_lower_bound": 5,
  "torsion": [
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    2
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  "naive_height": 226.67556262682706,
  "faltings_height": 16.842168781350004,
  "conductor": "5001003101018493593310",
  "bad_primes": [
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    "3",
    "5",
    "11",
    "13",
    "17",
    "19",
    "23",
    "29",
    "43",
    "107",
    "197",
    "1033",
    "5779"
  ],
  "discriminant": "20303236239956068020126014729646466464992708754510551983230167579715621971415090496265625000000",
  "regulator": "91220.0931256662934952840757062134762621795582970",
  "points": [
    [
      "117195404063982",
      "128237922544546185572937"
    ],
    [
      "-1056942542075440",
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    [
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    [
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  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella - Peral (2021). Source: https://dujella.github.io/tors/z2z6old5.html (curve entry 47). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:24:33",
  "updated_at": "2026-09-26 20:24:33"
}