{
  "id": 4749,
  "curve_key": "0:-3120835284998784",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "3612077876156"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 71.35375416090497,
  "faltings_height": 4.003802089200376,
  "conductor": "352271877752222271180081072",
  "bad_primes": [
    "2",
    "3",
    "903019469039"
  ],
  "discriminant": "-5636350044035556338881297152",
  "regulator": "197328167.5744387724375000930625680603152338476507245396628",
  "points": [
    [
      "-14203",
      "864277"
    ],
    [
      "-13795",
      "993409"
    ],
    [
      "-11158",
      "1490938"
    ],
    [
      "-5155",
      "1864159"
    ],
    [
      "-2443",
      "1896707"
    ],
    [
      "4802",
      "1929458"
    ],
    [
      "8117",
      "2036387"
    ],
    [
      "9002",
      "2083642"
    ],
    [
      "71045",
      "19031659"
    ],
    [
      "93122",
      "28480498"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Mordell curve y^2 = x^3 + 3612077876156. Source: N. D. Elkies, 'j=0, rank 15; also 3-rank 6 and 7 in real and imaginary quadratic fields', NMBRTHRY post, 30 Dec 2009, https://listserv.nodak.edu/cgi-bin/wa.exe?A2=NMBRTHRY;6a3fad67.0912&S=.",
  "created_at": "2026-10-20 21:28:09",
  "updated_at": "2026-10-20 21:28:09"
}