{
  "id": 3507,
  "curve_key": "-6249460274624:-17128195258347573760",
  "ainvs": [
    "0",
    "1",
    "0",
    "130197089055",
    "19824343466561599"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "naive_height": 88.57451525013091,
  "faltings_height": 5.49640750155547,
  "conductor": "45709648312790275648",
  "bad_primes": [
    "2",
    "17",
    "89",
    "223",
    "257",
    "271",
    "433",
    "4129"
  ],
  "discriminant": "-311025725811552872241096218944503808",
  "regulator": "887310.91995562667186740864148686838490193838425230140558",
  "points": [
    [
      "-63654",
      "106202009"
    ],
    [
      "3441867",
      "6421982344"
    ],
    [
      "-1064237/9",
      "-1422390952/27"
    ],
    [
      "-56773",
      "110678264"
    ],
    [
      "601115",
      "-561510968"
    ],
    [
      "146925",
      "-205244332"
    ],
    [
      "-5823541/49",
      "-17730223288/343"
    ],
    [
      "16852859",
      "69200751752"
    ],
    [
      "1647515",
      "2169375032"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-27 12:45:58",
  "updated_at": "2026-09-27 12:45:58"
}