{
  "id": 1558,
  "curve_key": "2064854312965921:-84780169521979289183281",
  "ainvs": [
    "1",
    "0",
    "0",
    "-43017798186790",
    "98125192621178032100"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    7
  ],
  "naive_height": 105.79150820463911,
  "faltings_height": 6.787964039805073,
  "conductor": "5712560490",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "83",
    "1483"
  ],
  "discriminant": "935233729994077257313513019180482560000000",
  "regulator": "19.527777789997487075685044292064542437894745",
  "points": [
    [
      "-1687168",
      "12881094422"
    ],
    [
      "13436780",
      "44107628810"
    ],
    [
      "6593260",
      "-10058831990"
    ]
  ],
  "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 01:05:27",
  "updated_at": "2026-09-25 01:05:27"
}