{
  "id": 5037,
  "curve_key": "5255147335728:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-109482236161",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 87.87068747133144,
  "faltings_height": 5.3907977009191095,
  "conductor": "3503431557152",
  "bad_primes": [
    "2",
    "409",
    "809"
  ],
  "discriminant": "83986784002698650999120402575441984",
  "regulator": "33406.65650862437273568790922879489194135651294",
  "points": [
    [
      "-263169",
      "102887280"
    ],
    [
      "-3681",
      "20073720"
    ],
    [
      "-370765741640239758400/1173417425342761",
      "2218938482319979433200266368520/40195626293670265094741"
    ],
    [
      "-86544400/289",
      "378359511420/4913"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 330881. Found in an ellrank scan of squarefree n <= 6*10^5 with n = 1,2,3 mod 8.",
  "created_at": "2026-10-21 01:49:07",
  "updated_at": "2026-10-21 01:49:07"
}