{
  "id": 1263,
  "curve_key": "277765603460273577825801:-146037343548138001241203620989353701",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-5786783405422366204704",
    "169024703182161975065711634362928"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    6
  ],
  "naive_height": 161.9431936736747,
  "faltings_height": 11.302091113414503,
  "conductor": "301672788158929193370",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19",
    "47",
    "61",
    "73",
    "83",
    "2707",
    "41227"
  ],
  "discriminant": "60038652433835314713547643718527012118714500288254300628906250000",
  "regulator": "311799.8672432902335298920369227112780701058017703416",
  "points": [
    [
      "42140817117",
      "-25070715966996"
    ],
    [
      "41680235457",
      "-488759079516561"
    ],
    [
      "-1127786291163/16",
      "-963643382304522129/64"
    ],
    [
      "180918110698185928/305809",
      "-76345461717676353038198692/169112377"
    ],
    [
      "95979917339304712/962361",
      "-22813154084453910667750036/944076141"
    ],
    [
      "47598960892",
      "-1192893960666996"
    ],
    [
      "3520979626682632/121",
      "-208926642899348259701676/1331"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Found by a Mestre-Nagao sieve over the Tate normal form family y^2+txy+(t+2)y=x^3 with torsion Z/6Z, at t=-787299/97525.",
  "created_at": "2026-09-24 16:47:22",
  "updated_at": "2026-09-24 16:47:22"
}