{
  "id": 1628,
  "curve_key": "756559198596480272195673601:-21185896383529851453595693456073588870401",
  "ainvs": [
    "1",
    "0",
    "0",
    "-15761649970760005670743200",
    "24520713406861940526386341129242240000"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    7
  ],
  "naive_height": 185.70830864426202,
  "faltings_height": 13.366127167544711,
  "conductor": "6181279032010505430",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "19",
    "37",
    "43",
    "47",
    "20717503241"
  ],
  "discriminant": "-9144371412686817830290633756294442753827795169755127517144347616215040000000",
  "regulator": "3894.303797471095219146109080980073498294385364",
  "points": [
    [
      "2755748568702",
      "1418849400679121196"
    ],
    [
      "1683411259680",
      "1660706502030561120"
    ],
    [
      "88242244483679040/3481",
      "25909383259452099438059040/205379"
    ],
    [
      "110627169528226560/51529",
      "8888934192479959749883680/11697083"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/7. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:51:25",
  "updated_at": "2026-09-25 01:51:25"
}