{
  "id": 4114,
  "curve_key": "8396373921:-768663149767569",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-174924457",
    "889700154456"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4
  ],
  "naive_height": 68.55319732057593,
  "faltings_height": 3.483326693980775,
  "conductor": "92189967815",
  "bad_primes": [
    "5",
    "11",
    "53",
    "89",
    "269",
    "1321"
  ],
  "discriminant": "632942754580505534707025",
  "regulator": "1771.00530788504838770308111982124225972228989601",
  "points": [
    [
      "8364",
      "103964"
    ],
    [
      "57931/4",
      "-9503063/8"
    ],
    [
      "7341",
      "-37551"
    ],
    [
      "6934",
      "-104101"
    ],
    [
      "114349",
      "-38476831"
    ]
  ],
  "submitter": "NDElkies",
  "history": [],
  "commentary": "Second-smallest naïve height H, and smallest |D| and Faltings height, of the 5 curves with H < 2^100 and this MW group.",
  "created_at": "2026-10-09 15:30:00",
  "updated_at": "2026-10-09 15:30:00"
}