{
  "id": 1322,
  "curve_key": "256831004185:-130157000532564733",
  "ainvs": [
    "1",
    "0",
    "1",
    "-5350645921",
    "150644230655160"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    3
  ],
  "naive_height": 78.81505240284669,
  "faltings_height": 4.191443150827384,
  "conductor": "7213783166674",
  "bad_primes": [
    "2",
    "7",
    "19",
    "157",
    "223",
    "239",
    "463"
  ],
  "discriminant": "164475246006515136366543212",
  "regulator": "3145.1448593110950993382518215182779709305679497384",
  "points": [
    [
      "308401/25",
      "1161902034/125"
    ],
    [
      "264634",
      "131272870"
    ],
    [
      "37584",
      "1604615"
    ],
    [
      "4688435/121",
      "1601534784/1331"
    ],
    [
      "-24741",
      "16379420"
    ],
    [
      "138681",
      "45491468"
    ]
  ],
  "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 17:31:58",
  "updated_at": "2026-09-24 17:31:58"
}