{
  "id": 1260,
  "curve_key": "-440072648330864:616934814481165421800",
  "ainvs": [
    "0",
    "-1",
    "1",
    "9168180173560",
    "-714047980228073388"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    5
  ],
  "naive_height": 101.15388281716379,
  "faltings_height": 6.498078872521687,
  "conductor": "1906325194907",
  "bad_primes": [
    "7",
    "17",
    "811",
    "823",
    "24001"
  ],
  "discriminant": "-49540977825774139566862412074262074430123",
  "regulator": "3281.582840243524089575598590269726615930777128",
  "points": [
    [
      "1893569281/81",
      "83084979357964/729"
    ],
    [
      "9514885/81",
      "440148254759/729"
    ],
    [
      "6637355",
      "18776144621"
    ],
    [
      "1282195795491/126025",
      "1514343655444672511/44738875"
    ]
  ],
  "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=5831/-823.",
  "created_at": "2026-09-24 16:31:56",
  "updated_at": "2026-09-24 16:31:56"
}