{
  "id": 4326,
  "curve_key": "3001301628897897:-164489068762630191175221",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-62527117268706",
    "190380882255193890296"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 106.9142621391628,
  "faltings_height": 6.6503025501472735,
  "conductor": "664445408124925173258",
  "bad_primes": [
    "2",
    "3",
    "31",
    "37",
    "43",
    "79",
    "181",
    "197",
    "211",
    "773"
  ],
  "discriminant": "-12438953593000522083706789187501887167156",
  "regulator": "604396.669744952113173866477874423227288632659031360221",
  "points": [
    [
      "9786854",
      "-22717147734"
    ],
    [
      "43006510/9",
      "-22776764072/27"
    ],
    [
      "1023978314",
      "-32766496948710"
    ],
    [
      "9394036",
      "20779982224"
    ],
    [
      "115685206/25",
      "-45120652144/125"
    ],
    [
      "3891274",
      "-2449893350"
    ],
    [
      "6470162",
      "7525419556"
    ],
    [
      "109687771/25",
      "88392076541/125"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z3.tsv.gz:7097 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:04:55",
  "updated_at": "2026-10-17 10:04:55"
}