{
  "id": 5739,
  "curve_key": "0:1289888064005939045064",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-1492926000006873895"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 97.21768479079041,
  "faltings_height": 6.159129641690829,
  "conductor": "1320786987553495959933110666920909083",
  "bad_primes": [
    "3",
    "223",
    "859109",
    "1154466611"
  ],
  "discriminant": "-962853713926498554791237676185342721507",
  "regulator": "924327029380162260.55881088812214971930403183766122571763733999",
  "points": [
    [
      "177355998761649985/124290092304",
      "52079620519490562076276673/43818223461590592"
    ],
    [
      "14155051822318057465/8525567556",
      "53255834638549710190405896601/787199754715704"
    ],
    [
      "221174797323339073/69155856",
      "-104016792348282838959272897/575100098496"
    ],
    [
      "221495753975393089/4693346064",
      "-104242549305831656705081281/321531752152512"
    ],
    [
      "14180633263126321345/346386394116",
      "-53399687239581501361089227995/203864326711395336"
    ],
    [
      "14203471440287634265/530662713156",
      "-53527239420229211959357145695/386569744001898696"
    ],
    [
      "198896537859350205313/34048345329216",
      "2794527715057375629149166647231/198675363637126964736"
    ],
    [
      "568852073124894442424084978661769/281256416602691614350418944",
      "12282528238941056503828530805291143701377797286619/4716867305507051365425820071149641039872"
    ],
    [
      "121417080612282229240377721/104946722698799592900",
      "253622967066460803607895594470267660519/1075111039488424087600801533000"
    ],
    [
      "163842838676984456281/17047121561856",
      "-2095442485116996561216574461533/70384428258536042496"
    ],
    [
      "2519920934423111762447329/16153459305987600",
      "-4000186928192274918434102858544194767/2053044263853219566376000"
    ],
    [
      "12751674321823736955294385/4393884682978802064",
      "44123062411053127901003136864424912585/9210283155281581708903624512"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "The rationally 3-isogenous partner of the Burkhardt-quartic Mordell specialization obtained from parameters (u,v,w)=(7/6,-5/6,3/6) at t=-11/336. \r\n\r\nPARI/GP 2.17.4 returned matching computational rank bounds [12,12] for this curve and the original model.",
  "created_at": "2026-10-24 18:09:43",
  "updated_at": "2026-10-24 18:09:43"
}