{
  "id": 1519,
  "curve_key": "5170417:-12310840009",
  "ainvs": [
    "1",
    "0",
    "0",
    "-107717",
    "14239681"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    3
  ],
  "naive_height": 46.467492025502615,
  "faltings_height": 1.8060260510171045,
  "conductor": "282286",
  "bad_primes": [
    "2",
    "29",
    "31",
    "157"
  ],
  "discriminant": "-7716972324192256",
  "regulator": "3.0367214056053739476547517843404098179686602",
  "points": [
    [
      "1970",
      "85319"
    ],
    [
      "-350",
      "3191"
    ],
    [
      "-270",
      "4999"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 00:48:50",
  "updated_at": "2026-09-25 00:48:50"
}