{
  "id": 1671,
  "curve_key": "1138086209716416:-15645585148088914138464",
  "ainvs": [
    "0",
    "0",
    "0",
    "-23710129369092",
    "18108316143621428401"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    6
  ],
  "naive_height": 104.00437344962431,
  "faltings_height": 6.72431784082905,
  "conductor": "51472046920140",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "19",
    "29",
    "41",
    "43",
    "3823"
  ],
  "discriminant": "711406654441979367106135324398545975250000",
  "regulator": "661.166703000784852255090058760797641819118323195",
  "points": [
    [
      "8198342",
      "19358672025"
    ],
    [
      "-18413372/9",
      "205720988075/27"
    ],
    [
      "-1156207/4",
      "-39950064825/8"
    ],
    [
      "-1323793",
      "-6868461810"
    ],
    [
      "-2755570182/529",
      "6369216324625/12167"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/6. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 02:54:19",
  "updated_at": "2026-09-25 02:54:19"
}