{
  "id": 1254,
  "curve_key": "895237822576:-847047091541168600",
  "ainvs": [
    "0",
    "-1",
    "1",
    "-18650787970",
    "980384795101972"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    5
  ],
  "naive_height": 82.56106573041487,
  "faltings_height": 4.408932659662979,
  "conductor": "9881581237",
  "bad_primes": [
    "11",
    "19",
    "53",
    "691",
    "1291"
  ],
  "discriminant": "148769899010901018305215717",
  "regulator": "253.9346920756941718891937121261882495026971131",
  "points": [
    [
      "78140",
      "343491"
    ],
    [
      "-5612",
      "32937459"
    ],
    [
      "144198919/1849",
      "33190291041/79507"
    ],
    [
      "477748",
      "317981900"
    ]
  ],
  "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=31217/-341.",
  "created_at": "2026-09-24 16:28:35",
  "updated_at": "2026-09-24 16:28:35"
}