{
  "id": 5725,
  "curve_key": "0:-1222480610294904",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "1414908113767"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 69.47931695290465,
  "faltings_height": 3.8475989885336834,
  "conductor": "864848867214699620202458547",
  "bad_primes": [
    "3",
    "5659632455069"
  ],
  "discriminant": "-864848867214699620202458547",
  "regulator": "1398079827768074.931730236003340270971304584008973594914878",
  "points": [
    [
      "-1261401265567/152078224",
      "1723223843216959665/1875428658368"
    ],
    [
      "1664725533665/484176016",
      "12853426277407898127/10653809056064"
    ],
    [
      "2448358493106797540267489/37785993195350416",
      "3831003179997454577273804735824092337/7345075479326052253257536"
    ],
    [
      "-12062027801645551/3493871256100",
      "7654480824423149183497043/6530709213189559000"
    ],
    [
      "40945728032214248305/964000782883044",
      "264414819851032042083137122043/29930645275236153773928"
    ],
    [
      "7576975490273921033/1238770523453584",
      "55898812703502405014516048517/43599980412002376480448"
    ],
    [
      "-17457583043100656691223/16022165959714485796",
      "76251283640607938835928415463957449/64133041809822836930754959656"
    ],
    [
      "75375298102795238720873/29623400942499303424",
      "192898961908552980951778310283472075/161232420900388320559078572032"
    ],
    [
      "5341808320401211263456616225/209882353564575442257984",
      "406828547624570875639182048926515526009137/96153232366862206321402018400804352"
    ],
    [
      "-7262820993021011436559158175/982897705882594870643044",
      "980022284031695640473681463453006631745293/974456556659290321299886550546203928"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "The rationally 3-isogenous partner of the Burkhardt-quartic Mordell curve constructed from parameters (u,v,w)=(-18/3,6/3,-8/3) and specialization t=7/179. \r\n\r\nPARI/GP 2.17.4 returned matching computational rank bounds [10,10].",
  "created_at": "2026-10-24 16:56:45",
  "updated_at": "2026-10-24 16:56:45"
}