{
  "id": 4750,
  "curve_key": "0:4943349690162336",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-5721469548799"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 72.27363914250645,
  "faltings_height": 4.0804591710005,
  "conductor": "3535403090166097125372979308",
  "bad_primes": [
    "2",
    "3",
    "13063",
    "437990473"
  ],
  "discriminant": "-14141612360664388501491917232",
  "regulator": "322436426.9841452804993398928718447132881113189976021884199",
  "points": [
    [
      "17915",
      "168226"
    ],
    [
      "19067",
      "1100158"
    ],
    [
      "19274",
      "1199405"
    ],
    [
      "21860",
      "2173601"
    ],
    [
      "27932",
      "4008863"
    ],
    [
      "34082",
      "5819587"
    ],
    [
      "44774",
      "9167195"
    ],
    [
      "54830",
      "12614101"
    ],
    [
      "74924",
      "20368415"
    ],
    [
      "197375",
      "87654976"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Mordell curve y^2 = x^3 + -5721469548799. 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 21:28:13",
  "updated_at": "2026-10-20 21:28:13"
}