{
  "id": 4503,
  "curve_key": "414773560921:-102015848721656285",
  "ainvs": [
    "1",
    "1",
    "0",
    "-8641115852",
    "118070298518460"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 80.25299571578549,
  "faltings_height": 4.746471855801264,
  "conductor": "132695994717361298982",
  "bad_primes": [
    "2",
    "3",
    "11",
    "47",
    "73",
    "89",
    "97",
    "109",
    "401",
    "17449"
  ],
  "discriminant": "35271533578584820136881378371012",
  "regulator": "190705.12963305616773210426614891537221939208477426598929",
  "points": [
    [
      "89462",
      "7767656"
    ],
    [
      "-42373",
      "20223737"
    ],
    [
      "227402",
      "99447662"
    ],
    [
      "-73547",
      "18898842"
    ],
    [
      "-44493",
      "-20336103"
    ],
    [
      "3372929",
      "6190536017"
    ],
    [
      "13001",
      "2808614"
    ],
    [
      "-32033",
      "19042392"
    ],
    [
      "4239589/9",
      "8556450790/27"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z2.tsv.gz:644933 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:32:44",
  "updated_at": "2026-10-17 10:32:44"
}