{
  "id": 5758,
  "curve_key": "0:979688191720031652190041784519200",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-1133898370046332930775511324675"
  ],
  "rank_lower_bound": 8,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 151.92957427828875,
  "faltings_height": 10.718453765649025,
  "conductor": "4535593480185331723102045298700",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "19",
    "37",
    "43",
    "89",
    "139",
    "307"
  ],
  "discriminant": "-555433421872491605967622701583087389863015673206042849985630000",
  "regulator": "10069191152843.0638584757384426922908375229947147460983",
  "points": [
    [
      "30650672184504612762193424020445599/35394821346683943847609",
      "-5366110675574723575376644621230665042411210308039418/6659008770411094569789935982534227"
    ],
    [
      "743767802955598030166384117222050684284139/537858798377706931892863870225",
      "641439895566717728446110585913290377647729825872624859545401912/394459496386971709407103683281552945640421625"
    ],
    [
      "611428329106629658074511/24092262941769",
      "461218706660070734982737564514603734/118254150223960716603"
    ],
    [
      "8067225325410230611963665859239968950399201/232257334038313748349732485515236",
      "-22601099097392451128908869947448556552650059557387362846604179599/3539599744117592829402195099740318975463308922984"
    ],
    [
      "9124509746245338421705172936839653288218239459969/51732018088933622103326275171096762624",
      "27559379309630291725626559093236105824321301635336632374096548656735906753/372082402867996041805433325667825720875191680114949869568"
    ],
    [
      "3615402531583877471029531673998146417151/282580745206417577497424997049",
      "-147212260404198884820532780031336675513605971262903921755374/150215189203475906833944653315020791695093843"
    ],
    [
      "25518536673042346419040842932248533199/219271026015510417577321225",
      "128862747060627688782318743894369628059379063002839346582/3246922129663620467919961052546049342875"
    ],
    [
      "21946301141929000199258491860289870224095641/1098974822927353059966477761496064",
      "-95211430185234594313453363656878034603208695021244241151224297539/36431882663531714643049168202365390798735669952512"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "Voznyy (2023), A = 409859663434410, [r, s, t] = [285, 356, 480] for S2 in https://arxiv.org/pdf/math/0403116",
  "created_at": "2026-10-24 19:40:43",
  "updated_at": "2026-10-24 19:40:43"
}