{
  "id": 1699,
  "curve_key": "234832833:-3451388079105",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-4892351",
    "3995885216"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4
  ],
  "naive_height": 57.82315341013068,
  "faltings_height": 2.7483623368596772,
  "conductor": "67158441",
  "bad_primes": [
    "3",
    "7",
    "37",
    "47",
    "613"
  ],
  "discriminant": "600763675407176297079",
  "regulator": "53.65387648807715943334955879577438637062852880",
  "points": [
    [
      "-2430",
      "40342"
    ],
    [
      "2364",
      "73900"
    ],
    [
      "21916",
      "3217495"
    ],
    [
      "-150303/64",
      "26346851/512"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/4. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 06:12:08",
  "updated_at": "2026-09-25 06:12:08"
}