{
  "id": 4754,
  "curve_key": "0:196386212304826203168",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-227298856834289587"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 93.45322973046997,
  "faltings_height": 5.845425053330793,
  "conductor": "5579795194362886401899718369476101452",
  "bad_primes": [
    "2",
    "3",
    "29",
    "26814493",
    "292300571"
  ],
  "discriminant": "-22319180777451545607598873477904405808",
  "regulator": "597695300125.13768556744373620542983375312135303515473405691222",
  "points": [
    [
      "684683",
      "306062480"
    ],
    [
      "791687",
      "518560954"
    ],
    [
      "1218107",
      "1257024116"
    ],
    [
      "1253927",
      "1320716414"
    ],
    [
      "1459271",
      "1697108618"
    ],
    [
      "4358183",
      "9085756930"
    ],
    [
      "5259911",
      "12053915962"
    ],
    [
      "118158011",
      "1284383529412"
    ],
    [
      "165785351",
      "2134613338342"
    ],
    [
      "166020683",
      "2139160070680"
    ],
    [
      "4650833/4",
      "9276397063/8"
    ],
    [
      "11551913/4",
      "39077070923/8"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Mordell curve y^2 = x^3 + -227298856834289587. 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 21:28:29",
  "updated_at": "2026-10-20 21:28:29"
}