{
  "id": 2858,
  "curve_key": "112982372745644099140362344881:-34550985984502256263058809910795518220415721",
  "ainvs": [
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    "0",
    "-2353799432200918732090882185",
    "39989567111692230080439457690563434811225"
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  "rank_lower_bound": 5,
  "torsion": [
    6,
    2
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  "naive_height": 200.69108797194588,
  "faltings_height": 14.692915871819126,
  "conductor": "1131030138471108927870",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19",
    "23",
    "31",
    "59",
    "193",
    "199",
    "1847",
    "7307"
  ],
  "discriminant": "143779644441407757176036169286451601583403885036517324174277610788190070724329000000",
  "regulator": "97859.1738749760072866481179157408145622958809657",
  "points": [
    [
      "-13272789126870",
      "-262474418962008447285"
    ],
    [
      "62997061649340",
      "376455986997155384865"
    ],
    [
      "235292735902330015/49284",
      "1858717131514493882047582075/10941048"
    ],
    [
      "26587804667725663180/471969",
      "95178457006708979892110235295/324242703"
    ],
    [
      "642213269652960633874197/709476496",
      "513932348728130104651370222396511867/18897615947456"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella - Lecacheux (2002). Source: https://dujella.github.io/tors/z2z6old5.html (curve entry 2). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:25:37",
  "updated_at": "2026-09-26 20:25:37"
}