{
  "id": 4333,
  "curve_key": "3658683790944:-7269731159981392728",
  "ainvs": [
    "0",
    "0",
    "1",
    "-76222578978",
    "8414040694422908"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 86.86050197076935,
  "faltings_height": 5.163229055841959,
  "conductor": "61558727099937615",
  "bad_primes": [
    "3",
    "5",
    "37",
    "53",
    "61",
    "89",
    "163",
    "87589"
  ],
  "discriminant": "-2241880988978779528068311194950075",
  "regulator": "25125.62603148851347565964051017417470306927504450187",
  "points": [
    [
      "-139271/4",
      "840027831/8"
    ],
    [
      "-3240879/16",
      "7978922503/64"
    ],
    [
      "1356417/4",
      "1174688021/8"
    ],
    [
      "1533634/9",
      "521817184/27"
    ],
    [
      "110783913/256",
      "973356084757/4096"
    ],
    [
      "-79874",
      "118290567"
    ],
    [
      "163252329/784",
      "870089011819/21952"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z3.tsv.gz:4784 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:05:15",
  "updated_at": "2026-10-17 10:05:15"
}