{
  "id": 4506,
  "curve_key": "13427970496:-1311759572341760",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-279749385",
    "1518333495561"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 69.96181715658571,
  "faltings_height": 3.8266643159982294,
  "conductor": "106037595064676544",
  "bad_primes": [
    "2",
    "3",
    "23",
    "71",
    "73",
    "89",
    "137",
    "409",
    "929"
  ],
  "discriminant": "405375835331777394800627712",
  "regulator": "25530.6054079212545971406792047435521688545701807063322",
  "points": [
    [
      "-6267",
      "1739352"
    ],
    [
      "-5856",
      "1719213"
    ],
    [
      "2243",
      "949808"
    ],
    [
      "-18049",
      "829124"
    ],
    [
      "1887",
      "998580"
    ],
    [
      "3489",
      "764688"
    ],
    [
      "25791",
      "3384996"
    ],
    [
      "2192709/169",
      "592287168/2197"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z2.tsv.gz:635300 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:32:52",
  "updated_at": "2026-10-17 10:32:52"
}