{
  "id": 1257,
  "curve_key": "4399605474303853936:-9228295921527702406318288600",
  "ainvs": [
    "0",
    "1",
    "1",
    "-91658447381330290",
    "10680898026770913843165700"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    5
  ],
  "naive_height": 128.78414383684483,
  "faltings_height": 8.31934102957065,
  "conductor": "29880155097515481",
  "bad_primes": [
    "3",
    "11",
    "17",
    "19",
    "23",
    "53",
    "101",
    "929",
    "24509"
  ],
  "discriminant": "-206952078396272960081069219225390341087592479323",
  "regulator": "528.7846468770226828051948255401464015514567402",
  "points": [
    [
      "186996257",
      "282704474596"
    ],
    [
      "-324588718",
      "2496844246396"
    ],
    [
      "50485569884/289",
      "25995759105164/4913"
    ],
    [
      "4370229151/25",
      "593615682449/125"
    ]
  ],
  "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=43263/901.",
  "created_at": "2026-09-24 16:30:12",
  "updated_at": "2026-09-24 16:30:12"
}