{
  "id": 1593,
  "curve_key": "2508057:-2550484989",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-52251",
    "2965013"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    3
  ],
  "naive_height": 44.20505672324825,
  "faltings_height": 1.7203666071875567,
  "conductor": "19378602",
  "bad_primes": [
    "2",
    "3",
    "37",
    "53",
    "61"
  ],
  "discriminant": "5365499107798224",
  "regulator": "18.80245307918824844115190745925822267433019643",
  "points": [
    [
      "-206",
      "2329"
    ],
    [
      "-47",
      "2329"
    ],
    [
      "6154",
      "479329"
    ],
    [
      "-173",
      "2695"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:24:00",
  "updated_at": "2026-09-25 01:24:00"
}