{
  "id": 5752,
  "curve_key": "0:-981287164434218616",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "1135749032909975"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 82.85528307574545,
  "faltings_height": 4.962262832103749,
  "conductor": "1507693319606626100946419409",
  "bad_primes": [
    "3",
    "13",
    "17",
    "58565651231"
  ],
  "discriminant": "-557247974006567826788099452824627",
  "regulator": "98604969324305.21231744274241676780901491536714737670274490",
  "points": [
    [
      "-455263773455/11999296",
      "1366699888839534025/41565561344"
    ],
    [
      "-356161424655/13424896",
      "1644022692120447031/49188818944"
    ],
    [
      "155947198897825/2633947684",
      "4954458313309015939827/135179463038248"
    ],
    [
      "4943938750377/59320804",
      "18918959483858179639/456888832408"
    ],
    [
      "30032310372145/178596496",
      "183186476922971102775/2386763572544"
    ],
    [
      "31647638348017/184742464",
      "197125763674631074249/2511019570688"
    ],
    [
      "78097297906088185/1623927143556",
      "73076674758706279230856271/2069425572556291704"
    ],
    [
      "3653942866914129/324341640100",
      "6229001580518115619816883/184715807453351000"
    ],
    [
      "198261326264256889/1616864833600",
      "112222350261473984641988787/2055940647812416000"
    ],
    [
      "22496188033587984770549193/1187006078878107521476",
      "1382350578083878890703249467461602945489/40895866514649299320500357431224"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "The rationally 3-isogenous partner of the Burkhardt-quartic Mordell specialization with parameters (u,v,w)=(6/8,7/8,-5/8) and specialization t=-641/625. \r\n\r\nPARI/GP 2.17.4 returned matching computational rank bounds [10,10,].",
  "created_at": "2026-10-24 18:45:05",
  "updated_at": "2026-10-24 18:45:05"
}