{
  "id": 1667,
  "curve_key": "130872110327721:-363492872672374296981",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-2726502298494",
    "420710024996378208"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    6
  ],
  "naive_height": 97.51572511572036,
  "faltings_height": 6.1908689568027535,
  "conductor": "40432009593690",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "31",
    "47",
    "463",
    "4657"
  ],
  "discriminant": "1220709614145627203684831823251568466500",
  "regulator": "3381.97869324530651025300790657211832882616984739",
  "points": [
    [
      "51493/9",
      "17184965278/27"
    ],
    [
      "1601032",
      "398475764"
    ],
    [
      "3389843799/625",
      "188226641748732/15625"
    ],
    [
      "-637437",
      "1378606056"
    ],
    [
      "50892106/25",
      "227163389956/125"
    ]
  ],
  "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 02:48:19",
  "updated_at": "2026-09-25 02:48:19"
}