{
  "id": 1361,
  "curve_key": "1363362089546089:-50275354280837345817013",
  "ainvs": [
    "1",
    "0",
    "1",
    "-28403376865544",
    "58189065087724781826"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    3
  ],
  "naive_height": 104.5461905059543,
  "faltings_height": 6.495068237387967,
  "conductor": "53669457456992966810",
  "bad_primes": [
    "2",
    "5",
    "13",
    "23",
    "31",
    "37",
    "61",
    "103",
    "127",
    "163",
    "120319"
  ],
  "discriminant": "3788467181511577571452141674694036096100",
  "regulator": "66982.7700322788785460553669126101310899817476560439751",
  "points": [
    [
      "-5372555",
      "-7461393283"
    ],
    [
      "50688453/16",
      "-2946036603/64"
    ],
    [
      "-1575427",
      "-9950410687"
    ],
    [
      "25026589/9",
      "22694079359/27"
    ],
    [
      "-11935745/9",
      "-261094507241/27"
    ],
    [
      "-3549724",
      "10692180646"
    ],
    [
      "353296791/121",
      "-515434582409/1331"
    ],
    [
      "10521527/4",
      "-10369555931/8"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:38:41",
  "updated_at": "2026-09-24 17:38:41"
}