{
  "id": 4518,
  "curve_key": "1083061161:-8567140072725",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-22563774",
    "9921312324"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 62.40917183116469,
  "faltings_height": 3.2653982398105907,
  "conductor": "83634450654222",
  "bad_primes": [
    "2",
    "3",
    "13",
    "61",
    "107",
    "199",
    "347"
  ],
  "discriminant": "692741964884464895851152",
  "regulator": "4230.518978314594165459541691225859710216285925383079",
  "points": [
    [
      "4560",
      "40542"
    ],
    [
      "-744",
      "162534"
    ],
    [
      "5392",
      "209438"
    ],
    [
      "4596",
      "55014"
    ],
    [
      "-2369",
      "224960"
    ],
    [
      "-2568",
      "226950"
    ],
    [
      "-1784",
      "211830"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z2.tsv.gz:315437 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:33:24",
  "updated_at": "2026-10-17 10:33:24"
}