{
  "id": 4256,
  "curve_key": "338399408585791210832881:-196288587884416022947471180296170825",
  "ainvs": [
    "1",
    "1",
    "1",
    "-7049987678870650225685",
    "227185865604025494656339984045051"
  ],
  "rank_lower_bound": 13,
  "torsion": [
    2
  ],
  "naive_height": 162.53554149878275,
  "faltings_height": 11.358123186965795,
  "conductor": "18788294275983832628734782745815765808134",
  "bad_primes": [
    "2",
    "3",
    "11",
    "67",
    "103",
    "113",
    "131",
    "179",
    "197",
    "211",
    "227",
    "283",
    "307",
    "8971",
    "493729",
    "4287457"
  ],
  "discriminant": "128654047501899678878280379249418350976525117761581228757899804672",
  "regulator": "711768356466864.1381737231514213477684847043902007689559728757286",
  "points": [
    [
      "-95975510169",
      "4444477300272652"
    ],
    [
      "39899215719",
      "3068259652140556"
    ],
    [
      "51493629011",
      "834602579775992"
    ],
    [
      "58255203303",
      "3766436170958092"
    ],
    [
      "48362349885927",
      "336325972571519525644"
    ],
    [
      "-21613586001401/225",
      "14320617053274107188/3375"
    ],
    [
      "415671843043/9",
      "8399773495648588/27"
    ],
    [
      "14490463337999/100",
      "47415364817629643687/1000"
    ],
    [
      "59257363418671/9",
      "456119099208099919012/27"
    ],
    [
      "338995183696631/10609",
      "6421950839751948888212/1092727"
    ],
    [
      "2581227902966031/40804",
      "48311244504031328192407/8242408"
    ],
    [
      "241644493600470543/4669921",
      "9751165997030766316256884/10091699281"
    ],
    [
      "10948238462516005495383/239560323601",
      "78156137365684123830408487358636/117252560826185849"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Found by specializing the family associated with curve#802 at T = -37/54. The original PARI/GP computation returned rank bounds [13,13]. Thirteen rational points are supplied.",
  "created_at": "2026-10-15 20:32:11",
  "updated_at": "2026-10-15 20:32:11"
}