{
  "id": 1624,
  "curve_key": "14492127767902369539170103889:-1707793155362113519886177931611530009226713",
  "ainvs": [
    "1",
    "0",
    "0",
    "-301919328497966032066043831",
    "1976612448335754376961257034788450525545"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    6,
    2
  ],
  "naive_height": 194.53020930083076,
  "faltings_height": 14.109434494132772,
  "conductor": "8188804847355271230",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "19",
    "41",
    "47",
    "53",
    "59",
    "223",
    "6911"
  ],
  "discriminant": "73556032059339680062921638898944595662552029552769611561843171157800983689000000",
  "regulator": "5874.483704657820521380567884223994934641789146",
  "points": [
    [
      "6627716206912441186/13225",
      "17052500168046261304757000539/1520875"
    ],
    [
      "10358261859504431782/552049",
      "22154792854961261915342636987/410172407"
    ],
    [
      "12442254195826",
      "12092839801947897265"
    ],
    [
      "99644944121533720/19321",
      "63365112041653413632033575/2685619"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/6+Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:47:19",
  "updated_at": "2026-09-25 01:47:19"
}