{
  "id": 4050,
  "curve_key": "175888890688:-61165225305233920",
  "ainvs": [
    "0",
    "1",
    "0",
    "-3664351889",
    "70791863393391"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2,
    2
  ],
  "naive_height": 77.67935498915965,
  "faltings_height": 4.474034363845365,
  "conductor": "6123114630336",
  "bad_primes": [
    "2",
    "3",
    "11",
    "23",
    "47",
    "59",
    "131",
    "347"
  ],
  "discriminant": "983954030179505302081574682624",
  "regulator": "833.65556125944227203428873554506967517764438064415",
  "points": [
    [
      "6415",
      "6895584"
    ],
    [
      "54301",
      "5650548"
    ],
    [
      "1063855/49",
      "415683792/343"
    ],
    [
      "1309639/25",
      "594169488/125"
    ],
    [
      "87613",
      "20549340"
    ],
    [
      "1603201/25",
      "1247051376/125"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2+Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-10-07 22:24:34",
  "updated_at": "2026-10-07 22:24:34"
}