{
  "id": 4067,
  "curve_key": "139890273:-1647216057105",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-2914381",
    "1907228661"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4
  ],
  "naive_height": 56.26910672695217,
  "faltings_height": 2.520028717444885,
  "conductor": "214959742",
  "bad_primes": [
    "2",
    "71",
    "73",
    "89",
    "233"
  ],
  "discriminant": "14023361747942641664",
  "regulator": "114.5911457481325262845666781212119676114070944",
  "points": [
    [
      "-1233",
      "60824"
    ],
    [
      "-1517",
      "54008"
    ],
    [
      "-1665",
      "47112"
    ],
    [
      "783",
      "-10632"
    ]
  ],
  "submitter": "NDElkies",
  "history": [],
  "commentary": "second-smallest Faltings height of curves of naïve height at most 2^90 with this MW group",
  "created_at": "2026-10-09 03:03:07",
  "updated_at": "2026-10-09 03:03:07"
}