{
  "id": 3350,
  "curve_key": "-359233641340439:-10510818133806832613941",
  "ainvs": [
    "1",
    "0",
    "1",
    "7484034194592",
    "12165299389649646556"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    6
  ],
  "naive_height": 101.4133839562061,
  "faltings_height": 6.543615305406545,
  "conductor": "50250886947030",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "23",
    "29",
    "31",
    "89",
    "11821"
  ],
  "discriminant": "-90761557543449764403602874373201302135750",
  "regulator": "8865.37630213462261892750112107141287426455487066",
  "points": [
    [
      "2289170",
      "6424854417"
    ],
    [
      "721637345/64",
      "20024863442229/512"
    ],
    [
      "-864950605/676",
      "-12349881626913/17576"
    ],
    [
      "-1524795128/1521",
      "113437476920756/59319"
    ],
    [
      "-3930121/4",
      "-15720717843/8"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Rationally isogenous to curve#1670 (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 5 carries over. Torsion ℤ/6ℤ.",
  "created_at": "2026-09-26 21:09:36",
  "updated_at": "2026-09-26 21:09:36"
}