{
  "id": 5756,
  "curve_key": "0:2881863284042718870307810962919200",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-3335489912086480173967373799675"
  ],
  "rank_lower_bound": 8,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 154.08749025476018,
  "faltings_height": 10.898280097021644,
  "conductor": "13341959648345920695869495198700",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "29",
    "41",
    "151",
    "179",
    "557"
  ],
  "discriminant": "-4806212955968451703558970652071430237511219814526183517005630000",
  "regulator": "7697333321991.11895090312817058104591260671234145592121",
  "points": [
    [
      "14547778828492261314574259865520939581241707376874126485051/791075489621092183917193780405000375643803855689",
      "1194825793067186832592760799615107046635724132132525713541041290060709037992099437605976/703601720995797758165965695818124360137008050289389952082752929335372613"
    ],
    [
      "7156954345553829972030362378605723273512160201/449750846130157749844862078562291600",
      "-251299718669922152232048369278357129250564292257612651647962750349051/301618505422715407263047682103800873188933139622536000"
    ],
    [
      "165332926932721/10404",
      "-873537819029776523881/1061208"
    ],
    [
      "419371476511282213081/108784900",
      "-8588124276003525342252987751229/1134626507000"
    ],
    [
      "19222663532543553594749479982353659374005224139/886568324562032667699875950938978169",
      "-2186014594546533021465609459609168127246882641425387583167122983127112/834772850673846538974431946539000535192950206214426803"
    ],
    [
      "10042272959253111397186761872982356442739/917862622335739083491170225",
      "-1006347639154142850218801753580356542803031545465991555594888/27807793325044693625590613557056726171625"
    ],
    [
      "528344252386008978302392577169648321370622907624294869281/7738562884635036197625733784269383370475461696",
      "12080575367806663894852342821196755759360541328199464391511208207896175570824496976079/680754426761954222392212020927519308684031112096607013695491889631744"
    ],
    [
      "421052597581449338601034931669704129/26249642284493709869453604",
      "-119653339159197007836066986923178001557763162792778817/134488479692699609657444612496835040808"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "Voznyy (2023), A = 702955655530590, [r, s, t] = [170, 179, 232] or [135, 174, 451] for S2 in https://arxiv.org/pdf/math/0403116",
  "created_at": "2026-10-24 19:32:35",
  "updated_at": "2026-10-24 19:32:35"
}