{
  "id": 1672,
  "curve_key": "1054881226071169:-33965363913704585986753",
  "ainvs": [
    "1",
    "0",
    "0",
    "-21976692209816",
    "39311761957618920000"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    6
  ],
  "naive_height": 103.7766137207335,
  "faltings_height": 6.506917269517673,
  "conductor": "5421733986630",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "31",
    "37",
    "107",
    "227",
    "499"
  ],
  "discriminant": "11689165972778630239079567101479459225600",
  "regulator": "698.674118993236292069111908639220145392655045969",
  "points": [
    [
      "1741888",
      "2512297816"
    ],
    [
      "298949808/121",
      "-414332988744/1331"
    ],
    [
      "1591600",
      "2891519080"
    ],
    [
      "2934768",
      "301891176"
    ],
    [
      "13792048",
      "48570255976"
    ]
  ],
  "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 02:56:19",
  "updated_at": "2026-09-25 02:56:19"
}