{
  "id": 5597,
  "curve_key": "0:-1228420908782408952",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "1421783459238899"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 83.30452240896784,
  "faltings_height": 4.999699443205615,
  "conductor": "2362735866713806045837778481",
  "bad_primes": [
    "3",
    "13",
    "1367",
    "2843",
    "320699"
  ],
  "discriminant": "-873274264545022855959780439913043",
  "regulator": "2014907839828982.293104059334974737176422082525508309362634",
  "points": [
    [
      "-598490084319/13542400",
      "1821211325555985329/49836032000"
    ],
    [
      "331612860509193/868716676",
      "6115440500537952614063/25604555308424"
    ],
    [
      "-618608332857551/7131802500",
      "16703710118951970686957/602280721125000"
    ],
    [
      "-9993820711238145239/105988466304900",
      "26356531702616563721862850759/1091158679801586843000"
    ],
    [
      "9412585030584093985617/43210222929593344",
      "973977570010304128722515174254759/8982138769007943977500672"
    ],
    [
      "-299639126247559938470543/12838863365175297024",
      "1726856939157955095415376600220154249/46003393111997125391777759232"
    ],
    [
      "176639922821001272486097/978459757869877504",
      "82724426635006026182580644466017689/967864259809924552238804992"
    ],
    [
      "-17385180187395206977463/150890329118416670784",
      "69889000801185611659009575746761078331/1853497944405953176302262338048"
    ],
    [
      "-1549721652556344507592241919/17408159370003856960900",
      "61470821064255616871162791187463951254771/2296832268225514186259318916773000"
    ],
    [
      "4058342045271982458765136177/12891166125518375349264",
      "264362105547253007829659977665954745576951/1463653607995471342911170548529088"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "The rational 3-isogenous partner of our accepted rank-10 Mordell curve obtained from the Burkhardt quartic with parameters (u,v,w) = (4,6,-4), specialized at t = -31/409.",
  "created_at": "2026-10-23 21:41:37",
  "updated_at": "2026-10-23 21:41:37"
}