{
  "id": 3346,
  "curve_key": "309624256:-5448006853120",
  "ainvs": [
    "0",
    "1",
    "0",
    "-6450505",
    "6303413319"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "naive_height": 58.65261012859251,
  "faltings_height": 2.550784877814261,
  "conductor": "1188797217664",
  "bad_primes": [
    "2",
    "7",
    "31",
    "71",
    "617",
    "977"
  ],
  "discriminant": "1172211118883151872",
  "regulator": "138443.71593264582625010765584848628980920521131680",
  "points": [
    [
      "1834",
      "-25403"
    ],
    [
      "1474",
      "257"
    ],
    [
      "45298/9",
      "8596117/27"
    ],
    [
      "72349/36",
      "-8255627/216"
    ],
    [
      "54709/36",
      "767233/216"
    ],
    [
      "1403833/784",
      "489615307/21952"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Rationally isogenous to curve#1233 (isogeny class computed with PARI/GP ellisomat; global minimal model). The witnesses are the images of that curve's witnesses under the isogeny, so they remain independent and the rank bound 6 carries over. Torsion ℤ/2ℤ.",
  "created_at": "2026-09-26 21:06:27",
  "updated_at": "2026-09-26 21:06:27"
}