{
  "id": 1532,
  "curve_key": "83388496:-770949357400",
  "ainvs": [
    "0",
    "1",
    "1",
    "-1737260",
    "891723410"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    5
  ],
  "naive_height": 54.74177704809267,
  "faltings_height": 2.4358060766303784,
  "conductor": "12969723",
  "bad_primes": [
    "3",
    "13",
    "19",
    "23",
    "761"
  ],
  "discriminant": "-8396542159573491963",
  "regulator": "19.381991924343817619295337561494809893508476",
  "points": [
    [
      "3550",
      "198685"
    ],
    [
      "-636",
      "41710"
    ],
    [
      "236590/289",
      "21319682/4913"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/5. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 00:51:00",
  "updated_at": "2026-09-25 00:51:00"
}