{
  "id": 4740,
  "curve_key": "0:7024681534752",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-8130418443"
  ],
  "rank_lower_bound": 4,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 59.16090199397878,
  "faltings_height": 2.9877310752898607,
  "conductor": "10840557924",
  "bad_primes": [
    "2",
    "3",
    "7",
    "37",
    "67"
  ],
  "discriminant": "-28556800153174603115568",
  "regulator": "121.6464884678868112967982793014298781681883982",
  "points": [
    [
      "2479",
      "84286"
    ],
    [
      "17353/4",
      "2169125/8"
    ],
    [
      "52059/25",
      "3748248/125"
    ],
    [
      "96681/4",
      "30052917/8"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cube-sum curve x^3 + y^3 = 34706 (Weierstrass model y^2 = x^3 - 432*34706^2). 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 21:27:34",
  "updated_at": "2026-10-20 21:27:34"
}