{
  "id": 3878,
  "curve_key": "3339527523696:-6101029341202351320",
  "ainvs": [
    "0",
    "0",
    "1",
    "-69573490077",
    "7061376552317536"
  ],
  "rank_lower_bound": 13,
  "torsion": [],
  "naive_height": 86.51055135881849,
  "faltings_height": 4.938923993381582,
  "conductor": "50809100449337709791877402759",
  "bad_primes": [
    "3",
    "211",
    "1230223",
    "21748669769673237467"
  ],
  "discriminant": "12346611409189063479426208870437",
  "regulator": "252839382276.4252146195970826146096661038887449940638602441278117",
  "points": [
    [
      "-131756",
      "118071436"
    ],
    [
      "155146",
      "1317469"
    ],
    [
      "156727",
      "2659459"
    ],
    [
      "179261",
      "18709004"
    ],
    [
      "198508",
      "32753236"
    ],
    [
      "212140",
      "43000852"
    ],
    [
      "1274863",
      "1410804211"
    ],
    [
      "3904015",
      "7696612147"
    ],
    [
      "3808681/49",
      "15804685084/343"
    ],
    [
      "3864179/25",
      "75505908/125"
    ],
    [
      "34977961/196",
      "49760617775/2744"
    ],
    [
      "40570441/256",
      "16244872645/4096"
    ],
    [
      "271425706/1849",
      "270597222391/79507"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-10-04 12:43:55",
  "updated_at": "2026-10-04 12:43:55"
}