{
  "id": 1603,
  "curve_key": "686499864961:-1356193301892287041",
  "ainvs": [
    "1",
    "0",
    "0",
    "-14302080520",
    "1569666981646400"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    5
  ],
  "naive_height": 83.50242681253845,
  "faltings_height": 5.008576187165914,
  "conductor": "118334610030",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19",
    "449",
    "5081"
  ],
  "discriminant": "-877155786109327392429453619200000",
  "regulator": "50.11721682192583068096550418096577878650974845",
  "points": [
    [
      "72800",
      "30201080"
    ],
    [
      "313040",
      "-166795720"
    ],
    [
      "2628080",
      "-4257558760"
    ],
    [
      "-148960",
      "-19795720"
    ]
  ],
  "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 01:25:40",
  "updated_at": "2026-09-25 01:25:40"
}