{
  "id": 4752,
  "curve_key": "0:-1084631458561320672",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "1255360484445973"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 83.0555438673115,
  "faltings_height": 4.97895123140092,
  "conductor": "170200434158110225993761639006732",
  "bad_primes": [
    "2",
    "3",
    "4136633",
    "303473981"
  ],
  "discriminant": "-680801736632440903975046556026928",
  "regulator": "14285051846.8523106065332841370469678127164207105882769850209",
  "points": [
    [
      "-106833",
      "6003706"
    ],
    [
      "-104589",
      "10548752"
    ],
    [
      "-97809",
      "17879062"
    ],
    [
      "-86733",
      "24554056"
    ],
    [
      "-12849",
      "35401118"
    ],
    [
      "31011",
      "35849452"
    ],
    [
      "103203",
      "48523820"
    ],
    [
      "152367",
      "69229094"
    ],
    [
      "232227",
      "117384916"
    ],
    [
      "1897587",
      "2614221824"
    ],
    [
      "152477007",
      "1882810180354"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Mordell curve y^2 = x^3 + 1255360484445973. 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 21:28:21",
  "updated_at": "2026-10-20 21:28:21"
}