{
  "id": 4091,
  "curve_key": "-551007:170188911",
  "ainvs": [
    "1",
    "-1",
    "1",
    "11479",
    "-199848"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    4
  ],
  "naive_height": 39.658508376685745,
  "faltings_height": 1.3856204912858587,
  "conductor": "838827",
  "bad_primes": [
    "3",
    "11",
    "37",
    "229"
  ],
  "discriminant": "-113573375074863",
  "regulator": "21.670775172042042198044880557583833214247881",
  "points": [
    [
      "29",
      "381"
    ],
    [
      "20",
      "183"
    ],
    [
      "524",
      "11964"
    ]
  ],
  "submitter": "NDElkies",
  "history": [],
  "commentary": "Fourth-smallest Faltings height of all curves of naïve height at most 2^90 with this MW group",
  "created_at": "2026-10-09 14:20:36",
  "updated_at": "2026-10-09 14:20:36"
}