{
  "id": 2846,
  "curve_key": "34834835994662822326426969096329:-205558157040032161495980350009901276448071130533",
  "ainvs": [
    "1",
    "-1",
    "0",
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    "237914533611148516496229543972918686770176000"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    6,
    2
  ],
  "naive_height": 217.88451213069132,
  "faltings_height": 15.874509553665975,
  "conductor": "967072153229620868430",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "53",
    "151",
    "227",
    "733",
    "1367",
    "5897"
  ],
  "discriminant": "9679490605955255900642793295841997747586006486914185524641592639748982831007382970638400",
  "regulator": "928269.057526345288275723459522466280434657763903",
  "points": [
    [
      "802075139061645",
      "13108110167152346053620"
    ],
    [
      "1186620595911207/4",
      "55846173364895457747747/8"
    ],
    [
      "531208742642688",
      "1516773542115084783744"
    ],
    [
      "180507989444005605/361",
      "1567045258450190238510165/6859"
    ],
    [
      "12440798197833519/25",
      "6341623292913960894462/125"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Voznyy (2022). Source: https://dujella.github.io/tors/z2z6old5.html (curve entry 75). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:25:03",
  "updated_at": "2026-09-26 20:25:03"
}