{
  "id": 4528,
  "curve_key": "89628295153436866576:-1317855235911177014414606964824",
  "ainvs": [
    "0",
    "-1",
    "1",
    "-1867256149029934720",
    "1525295412556651371915773338"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    5
  ],
  "family": null,
  "families": [],
  "naive_height": 138.70711676737307,
  "faltings_height": 9.591173875549462,
  "conductor": "43068006120189154715",
  "bad_primes": [
    "5",
    "13",
    "31",
    "37",
    "41",
    "107",
    "239",
    "241",
    "401",
    "5701"
  ],
  "discriminant": "-588389813387326978864865203237309464666121649761622946875",
  "regulator": "152643.17777811526274252226971313066822394550928887",
  "points": [
    [
      "5974768019",
      "451281799759212"
    ],
    [
      "826651339",
      "23379902105732"
    ],
    [
      "-1151869230226/3721",
      "10336131070845789897/226981"
    ],
    [
      "381287875874/121",
      "218426456933358847/1331"
    ],
    [
      "2592862404221/2209",
      "3201245374544420451/103823"
    ],
    [
      "35612218208161/12769",
      "193643734398349260889/1442897"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z5.tsv.gz:2100 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:33:59",
  "updated_at": "2026-10-17 10:33:59"
}