{
  "id": 1253,
  "curve_key": "9271362223120:-27955883629430221400",
  "ainvs": [
    "0",
    "-1",
    "1",
    "-193153379648",
    "32356411177781898"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    5
  ],
  "naive_height": 89.57385430303697,
  "faltings_height": 5.328434670155612,
  "conductor": "117307241825",
  "bad_primes": [
    "5",
    "31",
    "149",
    "431",
    "2357"
  ],
  "discriminant": "8922328967249110243842613069709125",
  "regulator": "4390.936174034353577086345412833375952774903444",
  "points": [
    [
      "-59628",
      "208953942"
    ],
    [
      "21277293343/15129",
      "2967168407132384/1860867"
    ],
    [
      "477406512/961",
      "7236360723527/29791"
    ],
    [
      "53033192137378/113486409",
      "254009409712649360594/1208970715077"
    ]
  ],
  "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=2357/-149.",
  "created_at": "2026-09-24 16:28:00",
  "updated_at": "2026-09-24 16:28:00"
}