{
  "id": 1617,
  "curve_key": "2965008692739998192407681:-778068670626123376831740179542537921",
  "ainvs": [
    "1",
    "0",
    "0",
    "-61771014432083295675160",
    "900542442849161879389618266497600"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    6,
    2
  ],
  "naive_height": 169.0467665882599,
  "faltings_height": 12.154044808518352,
  "conductor": "2801635174728390",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "97",
    "181",
    "241",
    "1297"
  ],
  "discriminant": "14734271139445491310214855077767605543371170884176837885607018496000000",
  "regulator": "917.0772557763407164145856029842182260492853197",
  "points": [
    [
      "-229862852560",
      "54352266209490920"
    ],
    [
      "80800179360560",
      "-726300690779032999960"
    ],
    [
      "-234358549480",
      "50052242863135040"
    ],
    [
      "-31242130394320/529",
      "801793031813964878680/12167"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/6+Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:40:09",
  "updated_at": "2026-09-25 01:40:09"
}