{
  "id": 5418,
  "curve_key": "0:3832029567395624551968",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-4435219406707898787"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 99.39536305774249,
  "faltings_height": 6.340602830603503,
  "conductor": "8028230256356847550933023869660676",
  "bad_primes": [
    "2",
    "3",
    "11",
    "1357581697798561"
  ],
  "discriminant": "-8497945952195773987443013230226782831408",
  "regulator": "320535541993585288.681408350623222229925796593885793882405812",
  "points": [
    [
      "1330555117756561/114704100",
      "48465354570751828843559/1228480911000"
    ],
    [
      "14031034427290431218727/74093136261169",
      "1662012912339616700215075273301430/637774230441306064553"
    ],
    [
      "21684335556321174783446679/8720747724110176225",
      "85174233092298878288672060864384949342/25753163492301005102149363375"
    ],
    [
      "1853317575302778908990899/96595399911980025",
      "2522251348105181870706382315289140732/30021657584820567369850125"
    ],
    [
      "104998949380796958793/61431673162896",
      "359660706273850769897268723515/481491379456380133056"
    ],
    [
      "948313328598065900803/383720262710841",
      "-24540354420794358969908382297400/7516611424064605253139"
    ],
    [
      "381147599431527196541167/183121896472518249",
      "-167735226011974082436551746883842450/78362884914795454065407307"
    ],
    [
      "1335405503945226766024003/806441035741225641",
      "-235190519089628503646029890254981860/724200679716218645431943061"
    ],
    [
      "2632183094107725259700721/1387320728577640000",
      "2528679793307577664819302661736622519/1634049893408113247912000000"
    ],
    [
      "12539050949421747058376752599/6785927751866049556225",
      "765214066214805652052958853339519474565382/559002624973062868067210220586625"
    ],
    [
      "119455411795542036942324045081038429420577/24812173293283612236914874096774544",
      "-40457760197515145930547112597209320664769945449065091887340465/3908383836571603755694759476386542070579330525579072"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of curve #5415:\r\nhttps://elliptic-rank.icarm.cloud/curve/5415\r\n\r\nThe source curve was submitted by Jesper Petersen and obtained through Mestre’s polynomial cube-completion construction from the integer sextuple (-115,-59,-53,67,73,87). The eleven source points were transported through the exact degree-3 isogeny and checked exactly on this minimal target model. Rank ≥11 is preserved under the rational isogeny. Rational torsion is trivial.",
  "created_at": "2026-10-21 22:32:59",
  "updated_at": "2026-10-21 22:32:59"
}