{
  "id": 3163,
  "curve_key": "217736838690125124450520323081:-101741994877182856771386983252912153085200229",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-4536184139377606759385840064",
    "117756938515259070124029037981449282901220"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    3
  ],
  "naive_height": 202.66202810510381,
  "faltings_height": 14.673971583285356,
  "conductor": "91108647893562681246204595773459948396390",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "23",
    "29",
    "31",
    "37",
    "41",
    "43",
    "47",
    "53",
    "102299",
    "5412646898693"
  ],
  "discriminant": "-16594723409064838438365652850865750050223183177314222165170493833025838989226016500",
  "regulator": "692514661.594837113820407542967403333058565325437477519422508",
  "points": [
    [
      "-19490912550326",
      "-445832687088207682886"
    ],
    [
      "99694509539254",
      "-810177524574020786498"
    ],
    [
      "44209842630586",
      "60179204272303054492"
    ],
    [
      "19042989810446",
      "-195653002235648166468"
    ],
    [
      "39937171925371",
      "17130985069181971582"
    ],
    [
      "-5180338033241",
      "-375655273818610196726"
    ],
    [
      "40648708695664",
      "23053923614463599554"
    ],
    [
      "264049839228931",
      "4162948942598699706502"
    ],
    [
      "-11554767109984",
      "-410644344382289546298"
    ],
    [
      "8407403487266",
      "283220194078161953452"
    ],
    [
      "37535093077111",
      "19323726664997391322"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Eroshkin (2006). Source: https://dujella.github.io/tors/z3old891011121314.html (curve entry 43). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:40:18",
  "updated_at": "2026-09-26 20:40:18"
}