{
  "id": 5710,
  "curve_key": "0:121415103976504759848",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-140526740713547176"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 92.49149391948458,
  "faltings_height": 5.765280402415344,
  "conductor": "1624653501828766194979144041489",
  "bad_primes": [
    "3",
    "7",
    "60696141113723"
  ],
  "discriminant": "-8531034417607327515874950632986199643",
  "regulator": "2203021102387644.85710198961220058757951494976722335706907462",
  "points": [
    [
      "434511235842936/123765625",
      "-9042638563950621111941/1376892578125"
    ],
    [
      "21631438918787748/8708435761",
      "-3166852978371503092118207/812662516780759"
    ],
    [
      "57461928804530817/106170402244",
      "-4642621820191246335958021/34594351526380472"
    ],
    [
      "2168293130940552/3958548889",
      "38434622376730514234296/249060020449213"
    ],
    [
      "14546062608176072148/1628382718561",
      "55472196715182625477950063832/2077948247884039441"
    ],
    [
      "6594939278138688666/847624042225",
      "16933682189991940706314217911/780377788835079625"
    ],
    [
      "1314322577309413833/2475323235856",
      "372919093846850955009150437/3894465652144018496"
    ],
    [
      "310220347469920594/15243606225",
      "-172783313946807673502890297/1882051842569625"
    ],
    [
      "2331601250919806481/3080376010000",
      "-2927115309339803523078604121/5406367935151000000"
    ],
    [
      "122057808763699658409/84818942478400",
      "-1316312967700842625592057213077/781158710922170048000"
    ],
    [
      "71187082903036265641/135939043304100",
      "87943065708638355899628783689/1584952728205060089000"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "The rationally 3-isogenous partner of the Burkhardt-quartic Mordell curve constructed with parameters (u,v,w)=(-1/5,0,6/5) at t=-340/57. ",
  "created_at": "2026-10-24 14:42:47",
  "updated_at": "2026-10-24 14:42:47"
}