{
  "id": 5796,
  "curve_key": "0:824765906698301232000",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-954590169789700500"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 96.32326254101281,
  "faltings_height": 6.084594454209363,
  "conductor": "16395531589168839108088089130800",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "1855374479669"
  ],
  "discriminant": "-393656713455943826985195020030508000000",
  "regulator": "2917082875012906.86292839341424693289498808554144100975239287",
  "points": [
    [
      "4870883812496254/4945324329",
      "10594444559852033824258/347770042788267"
    ],
    [
      "50262341043445045/5333234841",
      "11262019910431258125180325/389480807203389"
    ],
    [
      "51285532818274045/3693114441",
      "-11612210228300910630537575/224434257694011"
    ],
    [
      "105441691723129405/64595780649",
      "-30248994040749208296256825/16417469822407893"
    ],
    [
      "2133448862467024270/202940339121",
      "3114905450338471221241475050/91422390430280169"
    ],
    [
      "3053202918023470870/257727813561",
      "5333456899551488937007798250/130840421382699309"
    ],
    [
      "132992860718300657326/9329683129209",
      "1533454581380816694930333276574/28497078623061817677"
    ],
    [
      "195562948529824396945/62833460683536",
      "2691184581904208569589364954425/498065511473983089216"
    ],
    [
      "118730563553812945/108658573956",
      "-21191907926870572279932775/35817560367412104"
    ],
    [
      "4334140451567966305/569560014864",
      "-9013294189489102323988833775/429842386737741888"
    ],
    [
      "13086161867339580861814/11124926051805225",
      "-962617435455372354688811387872762/1173398960956533932647125"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "The rationally 3-isogenous partner of the specialization t = 392/505 of the generic rank-four Burkhardt Mordell family with construction parameters (-9, 5, -5).\r\n\r\nPARI/GP 2.17.4 returned matching computational rank bounds [11,11]. ",
  "created_at": "2026-10-25 10:34:28",
  "updated_at": "2026-10-25 10:34:28"
}