{
  "id": 5529,
  "curve_key": "0:10062792",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-11647"
  ],
  "rank_lower_bound": 5,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 32.24871043784293,
  "faltings_height": 0.7450484456118727,
  "conductor": "58599411363",
  "bad_primes": [
    "3",
    "53",
    "293"
  ],
  "discriminant": "-58599411363",
  "regulator": "1155.13488541204425110405555931611010898851326609",
  "points": [
    [
      "97/4",
      "405/8"
    ],
    [
      "37",
      "197"
    ],
    [
      "43",
      "260"
    ],
    [
      "433",
      "9009"
    ],
    [
      "211/9",
      "937/27"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Mordell curve y^2 + y = x^3 - 11647, obtained in my own bounded search of the models y^2 + t*y = x^3 + B with t = 0 or 1 and 0 < |B| <= 100000. Integer seed points were generated from B = y^2 + t*y - x^3 for integral x and y; the specialization (t,B) = (1,-11647) produced five integral seed points in the bounded search. Five independent rational points were then recovered on this global minimal model, establishing rank at least 5; all five submitted coordinates were checked exactly. The rational torsion subgroup is trivial, the conductor is 58599411363, and the minimal discriminant is -58599411363.",
  "created_at": "2026-10-22 22:05:16",
  "updated_at": "2026-10-22 22:05:16"
}