{
  "id": 1266,
  "curve_key": "422108227597808024497441:-274243092472322051377267769288029489",
  "ainvs": [
    "1",
    "0",
    "0",
    "-8793921408287667177030",
    "317410986657047325272998908855652"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    6
  ],
  "naive_height": 163.19864609259523,
  "faltings_height": 11.106704725236419,
  "conductor": "2258228975265200784470",
  "bad_primes": [
    "2",
    "5",
    "13",
    "29",
    "37",
    "43",
    "73",
    "97",
    "163",
    "211",
    "277",
    "5581"
  ],
  "discriminant": "5712961115599304789086078939345698283657473914335596019712000",
  "regulator": "254197.5067650062035109693509969266301385060811133090",
  "points": [
    [
      "54122560184",
      "-6168458714082"
    ],
    [
      "54166585542",
      "8973514714318"
    ],
    [
      "-674569717088/9",
      "-636343754438636078/27"
    ],
    [
      "54127611404",
      "-3299613263862"
    ],
    [
      "8781582245618732",
      "-822922926795085121304470"
    ],
    [
      "268925393468",
      "131914307102637226"
    ],
    [
      "59763024572",
      "2304401901708970"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Found by a Mestre-Nagao sieve over the Tate normal form family y^2+txy+(t+2)y=x^3 with torsion Z/6Z, at t=-808087/16936.",
  "created_at": "2026-09-24 16:49:01",
  "updated_at": "2026-09-24 16:49:01"
}