{
  "id": 41,
  "curve_key": "3792:-295704",
  "ainvs": [
    "0",
    "0",
    "1",
    "-79",
    "342"
  ],
  "rank_lower_bound": 5,
  "naive_height": 25.194228465945226,
  "faltings_height": 0.10809173841132348,
  "conductor": "19047851",
  "bad_primes": [
    "19047851"
  ],
  "discriminant": "-19047851",
  "regulator": "14.7905275701311284815007921692282023510586664287",
  "points": [
    [
      "5",
      "8"
    ],
    [
      "4",
      "9"
    ],
    [
      "3",
      "11"
    ],
    [
      "7",
      "11"
    ],
    [
      "0",
      "18"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Found by Brumer - McGuinness. A rank 5 example from their elliptic-curve examples page, with independent points of x-coordinates 5, 4, 3, 7, 0.\r\n\r\nThis curve has rank exactly 5 (verified by both mwrank and the gp function ellrank().",
  "created_at": "2026-05-28 04:35:25",
  "updated_at": "2026-07-01 23:01:14"
}