{
  "id": 1470,
  "curve_key": "-27024527:-14987565123049",
  "ainvs": [
    "1",
    "0",
    "0",
    "563011",
    "17346765810"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    8
  ],
  "naive_height": 60.67648396286061,
  "faltings_height": 3.1140730634485227,
  "conductor": "503139",
  "bad_primes": [
    "3",
    "7",
    "13",
    "19",
    "97"
  ],
  "discriminant": "-130003961230859961434553",
  "regulator": "15.4115651935179965766847048813205150190217",
  "points": [
    [
      "-2483",
      "26578"
    ],
    [
      "113227",
      "38044495"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/8. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 00:14:18",
  "updated_at": "2026-09-25 00:14:18"
}