{
  "id": 1295,
  "curve_key": "3998222065:-253538701557193",
  "ainvs": [
    "1",
    "0",
    "0",
    "-83296293",
    "293440629889"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    3
  ],
  "naive_height": 66.3330751923435,
  "faltings_height": 3.3410306945989716,
  "conductor": "8306144278",
  "bad_primes": [
    "2",
    "31",
    "43",
    "47",
    "151",
    "439"
  ],
  "discriminant": "-212486192299280085188608",
  "regulator": "158.360413149130242080422035798440778596826442578",
  "points": [
    [
      "2866",
      "278311"
    ],
    [
      "6786",
      "198343"
    ],
    [
      "143074/25",
      "7731083/125"
    ],
    [
      "-1670",
      "654967"
    ],
    [
      "231474",
      "111165223"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:27:22",
  "updated_at": "2026-09-24 17:27:22"
}