{
  "id": 4524,
  "curve_key": "30309016752:-5294335638655584",
  "ainvs": [
    "0",
    "0",
    "0",
    "-631437849",
    "6127703285481"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 72.41082779305503,
  "faltings_height": 3.853681236838745,
  "conductor": "91008239663484",
  "bad_primes": [
    "2",
    "3",
    "11",
    "13",
    "31",
    "41",
    "515149"
  ],
  "discriminant": "-108229684108437832536840816",
  "regulator": "959.00110866486775976428532868263427106313508514616",
  "points": [
    [
      "-4616",
      "2990663"
    ],
    [
      "14449",
      "143623"
    ],
    [
      "15720",
      "293601"
    ],
    [
      "15105",
      "190281"
    ],
    [
      "15339",
      "226083"
    ],
    [
      "16704",
      "490893"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z3.tsv.gz:540 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:33:48",
  "updated_at": "2026-10-17 10:33:48"
}