{
  "id": 1646,
  "curve_key": "30060563409:-133296424771261977",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-626261738",
    "154278425976617"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4
  ],
  "naive_height": 78.86270360162979,
  "faltings_height": 4.6296855538951664,
  "conductor": "239117376330",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "19",
    "29",
    "41",
    "53",
    "317"
  ],
  "discriminant": "-10266651044711154855834063667200",
  "regulator": "179.670720559919159105501640074100871483626526802",
  "points": [
    [
      "-2415",
      "12482263"
    ],
    [
      "-48335",
      "8487223"
    ],
    [
      "172977",
      "72174007"
    ],
    [
      "-50463",
      "7599847"
    ],
    [
      "-43743",
      "9919927"
    ]
  ],
  "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 02:21:19",
  "updated_at": "2026-09-25 02:21:19"
}