{
  "id": 3348,
  "curve_key": "18165601:-123745911008401",
  "ainvs": [
    "1",
    "0",
    "0",
    "-378450",
    "143224402500"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    6
  ],
  "naive_height": 64.89850294895017,
  "faltings_height": 3.465865463753037,
  "conductor": "41061390",
  "bad_primes": [
    "2",
    "3",
    "5",
    "29",
    "109",
    "433"
  ],
  "discriminant": "-8861715565306427709000000",
  "regulator": "113.40389713295223180429669355727218915125454",
  "points": [
    [
      "37800",
      "7339050"
    ],
    [
      "9750",
      "1027800"
    ],
    [
      "-2394",
      "362322"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Rationally isogenous to curve#1800 (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 3 carries over. Torsion ℤ/6ℤ.",
  "created_at": "2026-09-26 21:08:44",
  "updated_at": "2026-09-26 21:08:44"
}