{
  "id": 4340,
  "curve_key": "59877924001:-16508046578395249",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1247456750",
    "19106431436932"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 74.68524865672411,
  "faltings_height": 4.202035693710074,
  "conductor": "26752420782670",
  "bad_primes": [
    "2",
    "5",
    "11",
    "31",
    "41",
    "3457",
    "55351"
  ],
  "discriminant": "-33467211796293389464768000000",
  "regulator": "708.14665735111208298606117434815111582244091640229",
  "points": [
    [
      "32354",
      "3535448"
    ],
    [
      "19972",
      "1459290"
    ],
    [
      "-30689/4",
      "-42471551/8"
    ],
    [
      "-26276",
      "5822018"
    ],
    [
      "14314",
      "2038128"
    ],
    [
      "-191384/9",
      "-161752714/27"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z3.tsv.gz:490 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:05:29",
  "updated_at": "2026-10-17 10:05:29"
}