{
  "id": 4346,
  "curve_key": "40072031513390205841:-738152194215167941982766514361",
  "ainvs": [
    "1",
    "1",
    "1",
    "-834833989862295955",
    "854342817030819103741134225"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    5
  ],
  "family": null,
  "families": [],
  "naive_height": 137.54789507880403,
  "faltings_height": 9.51562828121968,
  "conductor": "3984881709897028990",
  "bad_primes": [
    "2",
    "5",
    "7",
    "23",
    "29",
    "43",
    "107",
    "18169",
    "1020959"
  ],
  "discriminant": "-278080027524296967663860461510476692382617212613427200000",
  "regulator": "19074.569076074451464687607113802501021153781886371",
  "points": [
    [
      "122779022587/9",
      "42932039322557306/27"
    ],
    [
      "32775759283/81",
      "17598659452918462/729"
    ],
    [
      "213226043",
      "26192046115678"
    ],
    [
      "122768608307/49",
      "41288979126557954/343"
    ],
    [
      "1302788853",
      "44472938999078"
    ],
    [
      "64916396843/121",
      "31521487517946218/1331"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z5.tsv.gz:2086 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:05:41",
  "updated_at": "2026-10-17 10:05:41"
}