{
  "id": 5741,
  "curve_key": "0:-10231916673057256152",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "11842496149371824"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 87.54408718875428,
  "faltings_height": 5.352996508187818,
  "conductor": "83107979287636435376946891717267",
  "bad_primes": [
    "3",
    "23",
    "4423",
    "5748750353"
  ],
  "discriminant": "-60585716900686961389794284061887643",
  "regulator": "2841328150044107.62525104336400091734477319628037498592625991",
  "points": [
    [
      "-1174204090960868/6956727649",
      "48663849783881113391361/580239783020143"
    ],
    [
      "-935810222002688/8751041209",
      "84361439603518949269661/818633651978323"
    ],
    [
      "673000769698864/18062016025",
      "264738705381451462479888/2427444643679875"
    ],
    [
      "760179897815614/18491920225",
      "274450961782967198939112/2514623771796625"
    ],
    [
      "1631976483295798/22550728561",
      "374372012077708760288303/3386420357276809"
    ],
    [
      "8756930678610364/47985093025",
      "1407117802226327944528737/10511374552591375"
    ],
    [
      "82987173744904042/192929142169",
      "25623516584917418730816011/84741617618885053"
    ],
    [
      "465369771913952356/13041668255625",
      "5135146882124194148500782379/47097702613244953125"
    ],
    [
      "-264457463115765652463/2155515356190784",
      "10005383359654217802232176102009/100075249553977597501952"
    ],
    [
      "-18397013150462122586/108298260156025",
      "93891437581171509907655369163/1127021547561396786125"
    ],
    [
      "56878029525999260986/2012867776350025",
      "9836889986000266182872775331016/90307302721604989874875"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "The rationally 3-isogenous partner of a Mordell specialization constructed from the Burkhardt quartic with Bruin–Nasserden parameters (u,v,w)=(9/6,-12/6,-10/6) and t=-421/568. \r\n\r\nPARI/GP 2.17.4 returned matching computational rank bounds [11,11] for both isogenous models.",
  "created_at": "2026-10-24 18:11:13",
  "updated_at": "2026-10-24 18:11:13"
}