{
  "id": 1601,
  "curve_key": "78903025:-3643989187625",
  "ainvs": [
    "1",
    "1",
    "1",
    "-1643813",
    "4216895156"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4
  ],
  "naive_height": 57.84820025629959,
  "faltings_height": 2.877714338873045,
  "conductor": "50457675",
  "bad_primes": [
    "3",
    "5",
    "41",
    "61",
    "269"
  ],
  "discriminant": "-7400134047790032890625",
  "regulator": "57.84999223697139404420207696065404901962076133",
  "points": [
    [
      "13680",
      "1587547"
    ],
    [
      "-1570",
      "54922"
    ],
    [
      "-1900",
      "22987"
    ],
    [
      "-112375/64",
      "21520169/512"
    ]
  ],
  "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 01:25:20",
  "updated_at": "2026-09-25 01:25:20"
}