{
  "id": 1516,
  "curve_key": "61537:-31227409",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1282",
    "36036"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    3
  ],
  "naive_height": 34.51361352143961,
  "faltings_height": 0.9221651652896661,
  "conductor": "216634",
  "bad_primes": [
    "2",
    "11",
    "43",
    "229"
  ],
  "discriminant": "-429469106176",
  "regulator": "3.7764793366234407527303273129897196201345939",
  "points": [
    [
      "-40",
      "174"
    ],
    [
      "-28",
      "238"
    ],
    [
      "356",
      "6510"
    ]
  ],
  "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 00:47:19",
  "updated_at": "2026-09-25 00:47:19"
}