{
  "id": 2006,
  "curve_key": "467513880251414501811601259281:-319658826693120523430240230437522801595171321",
  "ainvs": [
    "1",
    "0",
    "0",
    "-9739872505237802121075026235",
    "369975493857777571943772978374733893742225"
  ],
  "rank_lower_bound": 14,
  "torsion": [
    2
  ],
  "naive_height": 204.95167964851373,
  "faltings_height": 14.711829139358546,
  "conductor": "226358749368754196185387455802611568740743010",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "41",
    "127",
    "137",
    "193",
    "197",
    "211",
    "269",
    "449",
    "863",
    "1153",
    "1289",
    "1697",
    "6833"
  ],
  "discriminant": "1378767061590717729092957015138634096840454949409005399919763585107600000000000000",
  "regulator": "313162372817212984.760063632930555763956534481711322401746509535525",
  "points": [
    [
      "78417888945952830/1369",
      "-170300418620506116002355/50653"
    ],
    [
      "56006230598331870/841",
      "3150785686959770670312885/24389"
    ],
    [
      "32037799318964430/529",
      "575482277365381886362455/12167"
    ],
    [
      "167819630431095070/2601",
      "13362913034296487370480715/132651"
    ],
    [
      "293400927044281230/4489",
      "33748048979721487833078795/300763"
    ],
    [
      "4099581887693505/64",
      "-48331477097427185580795/512"
    ],
    [
      "41394979495488830/49",
      "8367055489530877579871495/343"
    ],
    [
      "11872370618061559230/27889",
      "39894023190193428532106264295/4657463"
    ],
    [
      "99206210899692876030/142129",
      "978732883866150434914536708345/53582633"
    ],
    [
      "3514930015808419222830/60637369",
      "-6033133578693219054395860588605/472183192403"
    ],
    [
      "52281217924749986670/36481",
      "377149659883514479920982578015/6967871"
    ],
    [
      "288785473723222957630/5049009",
      "-22026799506996864824251397305/11345123223"
    ],
    [
      "17111603695496186197070/292444201",
      "-100162139549909561877618082547035/5001088281301"
    ],
    [
      "455027681361782759614/6365529",
      "3171880633891298709613990897219/16060229667"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1977 (Dujella (2002)).",
  "created_at": "2026-09-26 04:58:17",
  "updated_at": "2026-09-26 04:58:17"
}