{
  "id": 5784,
  "curve_key": "0:-1541724982725888",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "1784403915192"
  ],
  "rank_lower_bound": 9,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 69.94335660624913,
  "faltings_height": 3.8862689596457227,
  "conductor": "117929530835279197348032",
  "bad_primes": [
    "2",
    "3",
    "41",
    "907",
    "222151"
  ],
  "discriminant": "-1375530047662696557867445248",
  "regulator": "7655803.4917559062801382285858085029114358675268467727770",
  "points": [
    [
      "-11226",
      "608004"
    ],
    [
      "-10398",
      "812520"
    ],
    [
      "-9246",
      "996984"
    ],
    [
      "-5223",
      "1281375"
    ],
    [
      "-4922",
      "1290412"
    ],
    [
      "-1466",
      "1334636"
    ],
    [
      "1702",
      "1337660"
    ],
    [
      "1977",
      "1338705"
    ],
    [
      "5638",
      "1401292"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Specialization at t=64/163 of the rank-four sextic Mordell family\r\n\r\nf(t) = 6174784t^6 − 12102720t^5 + 10989213t^4 − 5815388t^3 + 1819860t^2 − 334464t + 36352.\r\n\r\n\r\nThe specialization was identified using a 328-prime Mestre–Nagao score of approximately 54.02. \r\n\r\nPARI/GP 2.17.4 returned matching rank bounds [9,9].",
  "created_at": "2026-10-25 08:03:57",
  "updated_at": "2026-10-25 08:03:57"
}