{
  "id": 4324,
  "curve_key": "89052429390380617:-26574717569434512061499461",
  "ainvs": [
    "1",
    "0",
    "1",
    "-1855258945632930",
    "30757774810018365712880"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 117.08400505669957,
  "faltings_height": 7.147471090881904,
  "conductor": "735700978777413923078",
  "bad_primes": [
    "2",
    "7",
    "19",
    "73",
    "197",
    "373",
    "463",
    "769",
    "206879"
  ],
  "discriminant": "-119754730679582092298744073834479139436",
  "regulator": "5746528.92214702317140607053185315600088255132131481684",
  "points": [
    [
      "24868078",
      "-10291763"
    ],
    [
      "25023905",
      "1335118555"
    ],
    [
      "24868275",
      "-15343631"
    ],
    [
      "99574555/4",
      "-1868485233/8"
    ],
    [
      "24863794",
      "24342753"
    ],
    [
      "24945302",
      "-680121707"
    ],
    [
      "24871033",
      "-38334713"
    ],
    [
      "227617363/9",
      "98532114113/27"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z3.tsv.gz:7100 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:04:51",
  "updated_at": "2026-10-17 10:04:51"
}