{
  "id": 5020,
  "curve_key": "2116800:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-44100",
    "0"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 43.69624821702848,
  "faltings_height": 1.7095944297271974,
  "conductor": "705600",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7"
  ],
  "discriminant": "5489031744000000",
  "regulator": "2.91303967418348153861089862611940077594023",
  "points": [
    [
      "-150",
      "1800"
    ],
    [
      "-90",
      "1800"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 210. Found in an exhaustive ellrank scan of squarefree n <= 20000; one of the smallest n of rank 2.",
  "created_at": "2026-10-21 01:47:37",
  "updated_at": "2026-10-21 01:47:37"
}