{
  "id": 4344,
  "curve_key": "52242899395040127376:-565398987362394888259831634200",
  "ainvs": [
    "0",
    "1",
    "1",
    "-1088393737396669320",
    "654396975751085060057396840"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    5
  ],
  "family": null,
  "families": [],
  "naive_height": 137.0146583301723,
  "faltings_height": 9.447183356485583,
  "conductor": "24166930049132587563",
  "bad_primes": [
    "3",
    "7",
    "11",
    "19",
    "31",
    "53",
    "199",
    "379",
    "44435089"
  ],
  "discriminant": "-102481711035098528082621432592006663195562791472457789483",
  "regulator": "26051.144633737197593651739801802823657230595737396",
  "points": [
    [
      "207964965",
      "20905587190834"
    ],
    [
      "12825189591",
      "1447844297655991"
    ],
    [
      "-802988517",
      "31790017854787"
    ],
    [
      "360885890466/169",
      "197336191327936903/2197"
    ],
    [
      "-6680663412/49",
      "9703046731355944/343"
    ],
    [
      "252923010",
      "19882068630484"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z5.tsv.gz:2093 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:05:37",
  "updated_at": "2026-10-17 10:05:37"
}