{
  "id": 4756,
  "curve_key": "0:-1061031748604858392468536",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "1228046005329697213505"
  ],
  "rank_lower_bound": 14,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 110.64256802865151,
  "faltings_height": 7.277869911512588,
  "conductor": "651497900201089941708666232118910606092447907",
  "bad_primes": [
    "3",
    "293",
    "7459",
    "170389",
    "4397072149"
  ],
  "discriminant": "-651497900201089941708666232118910606092447907",
  "regulator": "97603961339744.4970150705940727897781775456582408801955852165813574",
  "points": [
    [
      "-10708499",
      "285542477"
    ],
    [
      "-8815247",
      "23302911438"
    ],
    [
      "-32362295/4",
      "211426880527/8"
    ],
    [
      "-6756749",
      "30324506652"
    ],
    [
      "-6480707",
      "30916971746"
    ],
    [
      "-1343057",
      "35008904528"
    ],
    [
      "-230045",
      "35043313644"
    ],
    [
      "481801",
      "35045083062"
    ],
    [
      "5388601",
      "37209070457"
    ],
    [
      "7950751",
      "41601061152"
    ],
    [
      "27821173",
      "150871221333"
    ],
    [
      "71514823",
      "605789818983"
    ],
    [
      "328135537/4",
      "5950622644813/8"
    ],
    [
      "1345705555",
      "49365686078019"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Mordell curve y^2 = x^3 + 78594944341100621664336. 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 21:28:37",
  "updated_at": "2026-10-20 21:28:37"
}