{
  "id": 4345,
  "curve_key": "27805906729175083681:-549745385348648304544383511921",
  "ainvs": [
    "1",
    "0",
    "0",
    "-579289723524480910",
    "636279381142291023669700100"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    5
  ],
  "family": null,
  "families": [],
  "naive_height": 136.95850549229638,
  "faltings_height": 9.468827724683193,
  "conductor": "3288058890510109170",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19",
    "29",
    "131",
    "10601",
    "1574009"
  ],
  "discriminant": "-162454478548854530158210764508514528236222869789081600000",
  "regulator": "10862.745858808895499405039786653284418238656523323",
  "points": [
    [
      "39563517020/121",
      "-29216345715646010/1331"
    ],
    [
      "249151179380/529",
      "-263192753603120570/12167"
    ],
    [
      "8271772820",
      "-749549086034110"
    ],
    [
      "400666640",
      "21644610473390"
    ],
    [
      "-465513220",
      "-28373496292510"
    ],
    [
      "37196287502",
      "-7172363115874234"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z5.tsv.gz:2084 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:05:39",
  "updated_at": "2026-10-17 10:05:39"
}