{
  "id": 4734,
  "curve_key": "0:209952",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-243"
  ],
  "rank_lower_bound": 1,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 24.509268424289207,
  "faltings_height": 0.10009494448239602,
  "conductor": "972",
  "bad_primes": [
    "2",
    "3"
  ],
  "discriminant": "-25509168",
  "regulator": "2.444086321700477944323091171694727367779",
  "points": [
    [
      "7",
      "10"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cube-sum curve x^3 + y^3 = 6 (Weierstrass model y^2 = x^3 - 432*6^2). Source: Elkies & Rogers, 'Elliptic Curves x^3+y^3=k of High Rank', ANTS-VI (LNCS 3076, 2004), arXiv:math/0403116, https://arxiv.org/abs/math/0403116.",
  "created_at": "2026-10-20 21:27:13",
  "updated_at": "2026-10-20 21:27:13"
}