{
  "id": 4751,
  "curve_key": "0:862980645295941408",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-998820191314747"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 82.59833731701465,
  "faltings_height": 4.940850685542849,
  "conductor": "35915103884809000742847108264324",
  "bad_primes": [
    "2",
    "3",
    "998820191314747"
  ],
  "discriminant": "-430981246617708008914165299171888",
  "regulator": "10163250386.4394211480268174907473535028829836293200949058669",
  "points": [
    [
      "101411",
      "6641528"
    ],
    [
      "157331",
      "53810788"
    ],
    [
      "174691",
      "65819568"
    ],
    [
      "203411",
      "86125028"
    ],
    [
      "231967",
      "107158854"
    ],
    [
      "281363",
      "145860620"
    ],
    [
      "316963",
      "175627560"
    ],
    [
      "379711",
      "231836322"
    ],
    [
      "1137187",
      "1212272616"
    ],
    [
      "1432163",
      "1713621200"
    ],
    [
      "4961827",
      "11052503256"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Mordell curve y^2 = x^3 + -998820191314747. 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 21:28:17",
  "updated_at": "2026-10-20 21:28:17"
}