{
  "id": 3161,
  "curve_key": "139329966021962163720005144428416:-1645571892470575288026393264077502941989336189536",
  "ainvs": [
    "0",
    "0",
    "0",
    "-2902707625457545077500107175592",
    "1904597097766869546326844055645258034709879849"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    3
  ],
  "naive_height": 222.04434488502167,
  "faltings_height": 16.25733208038321,
  "conductor": "3026430495293399317367745836437881353533418460",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "23",
    "29",
    "31",
    "37",
    "41",
    "43",
    "47",
    "53",
    "67",
    "6551",
    "130547",
    "104576139001"
  ],
  "discriminant": "-1803585001881555849637090857160089312479689778527716534572783422477410997374367549740750000",
  "regulator": "2502497330.50011428231951332835426790470487947932504202341633",
  "points": [
    [
      "1063302229460058",
      "4508156633116678166625"
    ],
    [
      "-825654663146817",
      "61142274721662403678500"
    ],
    [
      "-68584647656817",
      "45862355645427412806000"
    ],
    [
      "1030369575281634",
      "2763900126117107202225"
    ],
    [
      "1042423080209358",
      "3390046797825888711225"
    ],
    [
      "-760622971612917",
      "60600386362297642810950"
    ],
    [
      "164575959418458",
      "37833038284168124572575"
    ],
    [
      "-75434443283612",
      "46077456339616112696285"
    ],
    [
      "696962978964658",
      "14834832809096935264175"
    ],
    [
      "979980554131023",
      "1065853725738960152280"
    ],
    [
      "973568051517558",
      "1181237636592991511625"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Eroshkin (2006). Source: https://dujella.github.io/tors/z3old891011121314.html (curve entry 44). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:40:11",
  "updated_at": "2026-09-26 20:40:11"
}