{
  "id": 5753,
  "curve_key": "0:-12463533723246048",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "14425386253757"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 74.12316694691708,
  "faltings_height": 4.234586488034719,
  "conductor": "7491303668522930932678141764",
  "bad_primes": [
    "2",
    "3",
    "14425386253757"
  ],
  "discriminant": "-89895644022275171192137701168",
  "regulator": "21657595606270.54297326627687842581738767892177918067436276",
  "points": [
    [
      "-292111227069689/12000107025",
      "46739425575082892066/1314551724053625"
    ],
    [
      "-14290272667673/603635761",
      "15957028666896056190/14830727012009"
    ],
    [
      "-272192957799023/13585301136",
      "4000298837208469374905/1583448359207616"
    ],
    [
      "-268763745671273/13848817761",
      "4347510040674510670070/1629742722932241"
    ],
    [
      "-3024995974607/192709924",
      "8692381473606686025/2675199164968"
    ],
    [
      "-94754857315439/25109571600",
      "15083851043754493408441/3978862715736000"
    ],
    [
      "4230128632831/568584025",
      "52223698035825292854/13557886076125"
    ],
    [
      "2832421185900727/123679525761",
      "223639218553848401329370/43495739299154241"
    ],
    [
      "125447945159203/3367132729",
      "1588989928694162376240/195384610865683"
    ],
    [
      "494536424988528361/5211860702500",
      "350698114143017389222038891/11898417390772375000"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "The rationally 3-isogenous partner of a Mordell specialization obtained from the Burkhardt quartic using the Bruin–Nasserden parameters (u,v,w)=(12/9,12/9,-11/9) and specialization t=947/181. \r\n\r\nPARI/GP 2.17.4 returned matching computational rank bounds [10,10].",
  "created_at": "2026-10-24 18:45:54",
  "updated_at": "2026-10-24 18:45:54"
}