{
  "id": 1334,
  "curve_key": "6414385216:-897668543306240",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-133633025",
    "1039012765761"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "naive_height": 68.86164402128989,
  "faltings_height": 3.7780704468368675,
  "conductor": "54381804383424",
  "bad_primes": [
    "2",
    "3",
    "7",
    "31",
    "97",
    "113",
    "193",
    "617"
  ],
  "discriminant": "-313595591540181962029498368",
  "regulator": "3687.006989084779304095501000002054485033391989661065",
  "points": [
    [
      "3953",
      "756648"
    ],
    [
      "7859",
      "688572"
    ],
    [
      "12309/4",
      "6484053/8"
    ],
    [
      "-12319",
      "903096"
    ],
    [
      "-3053",
      "1191020"
    ],
    [
      "-2893039/289",
      "5757839064/4913"
    ],
    [
      "551681/49",
      "336334104/343"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:34:01",
  "updated_at": "2026-09-24 17:34:01"
}