{
  "id": 1248,
  "curve_key": "53611088721529:-392066092929866003533",
  "ainvs": [
    "1",
    "0",
    "1",
    "-1116897681699",
    "453780107075501066"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    6
  ],
  "naive_height": 94.83833112522531,
  "faltings_height": 5.683409321010422,
  "conductor": "6647665425830",
  "bad_primes": [
    "2",
    "5",
    "11",
    "13",
    "29",
    "173",
    "193",
    "4801"
  ],
  "discriminant": "214367423733812848581068462907388100",
  "regulator": "1165.52060154406462360225006026247299826319743968",
  "points": [
    [
      "-1126607",
      "-530611572"
    ],
    [
      "627613",
      "3717958"
    ],
    [
      "654601",
      "55851162"
    ],
    [
      "4206464",
      "8375616998"
    ],
    [
      "1493897236/2025",
      "-16159405457251/91125"
    ]
  ],
  "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=-2887/319.",
  "created_at": "2026-09-24 15:39:53",
  "updated_at": "2026-09-24 15:39:53"
}