{
  "id": 1529,
  "curve_key": "-13021632:-89952781824",
  "ainvs": [
    "0",
    "0",
    "0",
    "271284",
    "104112016"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    4
  ],
  "naive_height": 50.44510144640319,
  "faltings_height": 2.2862582669890714,
  "conductor": "614592",
  "bad_primes": [
    "2",
    "3",
    "11",
    "97"
  ],
  "discriminant": "-5960352223259394048",
  "regulator": "15.900517692749506778175591341174186380645455",
  "points": [
    [
      "-160",
      "7524"
    ],
    [
      "-270",
      "3344"
    ],
    [
      "-259",
      "4059"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/4. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 00:50:30",
  "updated_at": "2026-09-25 00:50:30"
}