{
  "id": 3340,
  "curve_key": "37305616:168584104000",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-777200",
    "-194861424"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "naive_height": 52.30396330884976,
  "faltings_height": 2.3802216270927468,
  "conductor": "778285688496",
  "bad_primes": [
    "2",
    "3",
    "17",
    "47",
    "53",
    "101",
    "223"
  ],
  "discriminant": "13598356980254303232",
  "regulator": "28885.501139708944481952895560774847647876370170461",
  "points": [
    [
      "-699",
      "2526"
    ],
    [
      "-347",
      "5738"
    ],
    [
      "1056",
      "12684"
    ],
    [
      "1408",
      "38732"
    ],
    [
      "2208",
      "94068"
    ],
    [
      "8896",
      "834764"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Rationally isogenous to curve#1241 (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 21:03:11",
  "updated_at": "2026-09-26 21:03:11"
}