{
  "id": 3345,
  "curve_key": "108920896:-1123989690880",
  "ainvs": [
    "0",
    "1",
    "0",
    "-2269185",
    "1300157599"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "naive_height": 55.51839735587123,
  "faltings_height": 2.4967743288528035,
  "conductor": "342404181952",
  "bad_primes": [
    "2",
    "7",
    "31",
    "71",
    "113",
    "439"
  ],
  "discriminant": "16700646187670208512",
  "regulator": "37075.316644477005030213923978327046391216564666739",
  "points": [
    [
      "1049",
      "8672"
    ],
    [
      "1469",
      "-33748"
    ],
    [
      "962",
      "-2899"
    ],
    [
      "2909",
      "-139012"
    ],
    [
      "1817",
      "56384"
    ],
    [
      "63821/49",
      "8086756/343"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Rationally isogenous to curve#1237 (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 21:05:58",
  "updated_at": "2026-09-26 21:05:58"
}