{
  "id": 1685,
  "curve_key": "4556364025:-832315536090125",
  "ainvs": [
    "1",
    "1",
    "0",
    "-94924250",
    "963288615000"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4
  ],
  "naive_height": 68.71046546992187,
  "faltings_height": 3.7781794036331195,
  "conductor": "4309549350",
  "bad_primes": [
    "2",
    "3",
    "5",
    "29",
    "61",
    "109",
    "149"
  ],
  "discriminant": "-346155653842848749275312500",
  "regulator": "344.956214439144990282542260566641956214566185253",
  "points": [
    [
      "1850",
      "890150"
    ],
    [
      "429566",
      "281257988"
    ],
    [
      "-194494/49",
      "388369640/343"
    ],
    [
      "15625/169",
      "2146349600/2197"
    ],
    [
      "2095825/9",
      "3028441925/27"
    ]
  ],
  "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 04:48:37",
  "updated_at": "2026-09-25 04:48:37"
}