{
  "id": 1674,
  "curve_key": "677407783950049:-13163255568742678938577",
  "ainvs": [
    "1",
    "0",
    "0",
    "-14112662165626",
    "15235248324804401636"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    6
  ],
  "naive_height": 102.44788364150233,
  "faltings_height": 6.557608286570392,
  "conductor": "6110680457310",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "67",
    "73",
    "181",
    "1609"
  ],
  "discriminant": "79617170868240992171789806534706583306240",
  "regulator": "2630.32785716774213481529432782443053347598758438",
  "points": [
    [
      "19508168",
      "84631368950"
    ],
    [
      "422804",
      "3056574518"
    ],
    [
      "5870180",
      "11601891494"
    ],
    [
      "64841332/9",
      "457727491570/27"
    ],
    [
      "128414420",
      "1454511525686"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/6. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 02:59:26",
  "updated_at": "2026-09-25 02:59:26"
}