{
  "id": 5468,
  "curve_key": "0:25587172562022175104",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-29614783057896036"
  ],
  "rank_lower_bound": 9,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 89.37724565600782,
  "faltings_height": 5.50575971379228,
  "conductor": "161657109345237320263136688",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "19",
    "10721279"
  ],
  "discriminant": "-378879282244618310341005257309743872",
  "regulator": "255068224.26519494482021521263797949206562779036361387364",
  "points": [
    [
      "340690",
      "99644342"
    ],
    [
      "639730",
      "481868842"
    ],
    [
      "955738",
      "918362606"
    ],
    [
      "1115053",
      "1164808471"
    ],
    [
      "1288105/4",
      "491829611/8"
    ],
    [
      "2927197/9",
      "1868812127/27"
    ],
    [
      "7889674/25",
      "5327025782/125"
    ],
    [
      "685038445/2209",
      "1499707504841/103823"
    ],
    [
      "2646874791925/7612081",
      "2341279399889759693/21001731479"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Rank-9 Mordell curve obtained through Mestre's polynomial cube-completion construction, using the integer sextuple (-15,-14,-11,6,15,19).",
  "created_at": "2026-10-22 08:37:51",
  "updated_at": "2026-10-22 08:37:51"
}