{
  "id": 4500,
  "curve_key": "194579283136:-410897440695173120",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-4053735065",
    "475577092790361"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 81.1142400844923,
  "faltings_height": 4.816301761756211,
  "conductor": "168526126573084140864",
  "bad_primes": [
    "2",
    "3",
    "23",
    "41",
    "73",
    "79",
    "223",
    "503",
    "857"
  ],
  "discriminant": "-93443125910882248801930715394048",
  "regulator": "553346.75785600136379553113282880750428901284278325038940",
  "points": [
    [
      "89501",
      "28804464"
    ],
    [
      "35089",
      "19404568"
    ],
    [
      "197879",
      "86148468"
    ],
    [
      "68985",
      "22895856"
    ],
    [
      "-107453/9",
      "617039216/27"
    ],
    [
      "25745",
      "19704744"
    ],
    [
      "-29443",
      "23862240"
    ],
    [
      "-6155/4",
      "175601573/8"
    ],
    [
      "51368",
      "-20072007"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z2.tsv.gz:644934 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:32:35",
  "updated_at": "2026-10-17 10:32:35"
}