{
  "id": 1557,
  "curve_key": "569564740127848609:-428774413831687444084003441",
  "ainvs": [
    "1",
    "0",
    "0",
    "-11865932085996846",
    "496266681686736497560452"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    7
  ],
  "naive_height": 122.65094655068087,
  "faltings_height": 8.028903459135964,
  "conductor": "5220168954",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "17",
    "29",
    "41",
    "43"
  ],
  "discriminant": "533320674145644747929367552732353137804434210816",
  "regulator": "20.372305719635889689207443209690435047633938",
  "points": [
    [
      "2337051132",
      "112858432449282"
    ],
    [
      "59980284",
      "18186576642"
    ],
    [
      "59195909916/841",
      "2411225979615882/24389"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/7. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:05:17",
  "updated_at": "2026-09-25 01:05:17"
}