{
  "id": 4338,
  "curve_key": "321607152:-1077416602320096",
  "ainvs": [
    "0",
    "0",
    "0",
    "-6700149",
    "1247009956389"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 69.22668507134416,
  "faltings_height": 3.826561813423276,
  "conductor": "134675386853436",
  "bad_primes": [
    "2",
    "3",
    "11",
    "13",
    "19",
    "137",
    "487",
    "2293"
  ],
  "discriminant": "-671755365019742055011037936",
  "regulator": "1492.7031343634208175907023431736873924102918611792",
  "points": [
    [
      "-8148",
      "872157"
    ],
    [
      "-10409",
      "434701"
    ],
    [
      "-5340",
      "1063257"
    ],
    [
      "16305",
      "2339337"
    ],
    [
      "101529/4",
      "33399093/8"
    ],
    [
      "-8889",
      "-777309"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z3.tsv.gz:567 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:05:24",
  "updated_at": "2026-10-17 10:05:24"
}