{
  "id": 780,
  "curve_key": "3386638416:-201481856395200",
  "ainvs": [
    "0",
    "0",
    "0",
    "-70554967",
    "233196593050"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "naive_height": 65.87344090111495,
  "faltings_height": 3.3892599766631943,
  "conductor": "31693061874096605785624",
  "bad_primes": [
    "2",
    "830233",
    "4771711958284091"
  ],
  "discriminant": "-1014177979971091385139968",
  "regulator": "5564810.74487482760735843981637031316596789197058587934220431",
  "points": [
    [
      "4937",
      "-72118"
    ],
    [
      "4949",
      "72346"
    ],
    [
      "4366",
      "-91532"
    ],
    [
      "5127",
      "78932"
    ],
    [
      "6923",
      "276676"
    ],
    [
      "2553",
      "-264026"
    ],
    [
      "3073",
      "213074"
    ],
    [
      "17867",
      "-2162468"
    ],
    [
      "22225/4",
      "901825/8"
    ],
    [
      "5419",
      "99956"
    ],
    [
      "4621",
      "-76402"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-18 12:38:51",
  "updated_at": "2026-09-18 12:38:51"
}