{
  "id": 13,
  "curve_key": "3936:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-82",
    "0"
  ],
  "rank_lower_bound": 3,
  "naive_height": 24.83376077451643,
  "faltings_height": 0.1377204761845264,
  "conductor": "430336",
  "bad_primes": [
    "2",
    "41"
  ],
  "discriminant": "35287552",
  "regulator": "10.207892029767887379642364292744681701782086",
  "points": [
    [
      "-8",
      "12"
    ],
    [
      "-1",
      "9"
    ],
    [
      "49/4",
      "231/8"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Found by Billing (1938). A curve of rank exactly 3, via Dujella's elliptic-curve rank-records tables.",
  "created_at": "2026-05-27 22:11:57",
  "updated_at": "2026-07-01 23:04:07"
}