{
  "id": 3865,
  "curve_key": "72724505360532447057554244776641:-575391581120116599225083152188317381159763206689",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1515093861677759313699046766180",
    "665962478148282974697135545589868975495828752"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    3
  ],
  "naive_height": 220.09269357802285,
  "faltings_height": 16.298632872402997,
  "conductor": "7038830486396142750889170364947276606510",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "19",
    "23",
    "29",
    "31",
    "41",
    "53",
    "67",
    "113",
    "157",
    "727",
    "317729112525942907"
  ],
  "discriminant": "30991780193016442081753110382978469029095119937141814740399498877384864461376814592000000000",
  "regulator": "1805629926094.669311577576141426862565492451506776627048707",
  "points": [
    [
      "2776575530707243243253209624/1855695093121",
      "-105711303285518189927706760252031135597068/2527900227958057919"
    ],
    [
      "6437821868042186476/529",
      "-16253864682668355422013735724/12167"
    ],
    [
      "791830730241190982344/904401",
      "2799278065843286528011949185028/860085351"
    ],
    [
      "2089020450102346139656/2424249",
      "1905197870264491655331942965804/3774555693"
    ],
    [
      "3164811605004064141704/1510441",
      "151836441463971011539136671274892/1856331989"
    ],
    [
      "87501913140990104453041/70694464",
      "15578609320062218961906664143396611/594399053312"
    ],
    [
      "5980327620246766821514/1666681",
      "-437945635623718087746627997631912/2151685171"
    ],
    [
      "1181046717758094392776/677329",
      "32146859590648421223004205513476/557441767"
    ],
    [
      "13032093830319524704/841",
      "46901415052045628551276884692/24389"
    ],
    [
      "481810306342154458649286664/307923998281",
      "7878856363356347392920836187845260203212/170869797962111429"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "Eroshkin - Voznyy (2026)",
  "created_at": "2026-10-04 03:28:19",
  "updated_at": "2026-10-04 03:28:19"
}