{
  "id": 1712,
  "curve_key": "762014850025:-732493125015435125",
  "ainvs": [
    "1",
    "1",
    "0",
    "-15875309375",
    "847786354055625"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4
  ],
  "naive_height": 82.2704607002268,
  "faltings_height": 4.824248369121298,
  "conductor": "74593639050",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "29",
    "41",
    "149",
    "401"
  ],
  "discriminant": "-54438415484380881805657712812500",
  "regulator": "241.830714310966729635526902173219800741286576489",
  "points": [
    [
      "-141700",
      "15950525"
    ],
    [
      "37696",
      "-17423389"
    ],
    [
      "-104000",
      "37119075"
    ],
    [
      "157580",
      "47451485"
    ],
    [
      "3807521/25",
      "5528268316/125"
    ]
  ],
  "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 06:14:18",
  "updated_at": "2026-09-25 06:14:18"
}