{
  "id": 4508,
  "curve_key": "22723468096:-2709299454584320",
  "ainvs": [
    "0",
    "1",
    "0",
    "-473405585",
    "3135605455759"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 71.53999219266213,
  "faltings_height": 3.972495191957409,
  "conductor": "523358779488238016",
  "bad_primes": [
    "2",
    "17",
    "71",
    "79",
    "89",
    "199",
    "953",
    "5081"
  ],
  "discriminant": "2542300700264409586787827712",
  "regulator": "60738.9687211520201836293805166283310314065679669294192",
  "points": [
    [
      "-3695",
      "2198728"
    ],
    [
      "5109",
      "922148"
    ],
    [
      "17747",
      "569136"
    ],
    [
      "-5213",
      "2337056"
    ],
    [
      "542037",
      "398747444"
    ],
    [
      "770347",
      "675862064"
    ],
    [
      "360561/16",
      "126581711/64"
    ],
    [
      "98331/25",
      "144398096/125"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z2.tsv.gz:635369 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:32:57",
  "updated_at": "2026-10-17 10:32:57"
}