{
  "id": 1259,
  "curve_key": "783168535057456:-21917085177895100391896",
  "ainvs": [
    "0",
    "-1",
    "1",
    "-16316011147030",
    "25367002172345267056"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    5
  ],
  "naive_height": 102.88310709446336,
  "faltings_height": 6.092893139343666,
  "conductor": "7964090334805",
  "bad_primes": [
    "5",
    "11",
    "43",
    "127",
    "26515591"
  ],
  "discriminant": "64815017347270341802028383160753125",
  "regulator": "1179.210443737347533729530916311274875065899855",
  "points": [
    [
      "1945060",
      "995008712"
    ],
    [
      "22158715",
      "102683715447"
    ],
    [
      "18761365/4",
      "57701881671/8"
    ],
    [
      "659684035/289",
      "640308273376/4913"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Found by a Mestre-Nagao sieve over the Tate normal form family y^2+(t+1)xy+ty=x^3+tx^2 with torsion Z/5Z, at t=5461/-55.",
  "created_at": "2026-09-24 16:31:22",
  "updated_at": "2026-09-24 16:31:22"
}