{
  "id": 4343,
  "curve_key": "1618270083992936004016:-65098173976568328517811662150936",
  "ainvs": [
    "0",
    "1",
    "1",
    "-33713960083186166750",
    "75345108757938319460479220054"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    5
  ],
  "family": null,
  "families": [],
  "naive_height": 146.5069340465244,
  "faltings_height": 9.853144045996714,
  "conductor": "13859596811956882935",
  "bad_primes": [
    "3",
    "5",
    "13",
    "17",
    "19",
    "31",
    "47",
    "83",
    "821",
    "2216321"
  ],
  "discriminant": "86984441149064392654528126085615920864445696900468503125",
  "regulator": "27569.966276878629048487476101401266165327173423460",
  "points": [
    [
      "2883502656",
      "45890637994642"
    ],
    [
      "3307059841",
      "4377680144662"
    ],
    [
      "-8844477786371/1444",
      "12520093135593184889/54872"
    ],
    [
      "-286227873641/49",
      "-92649926139163259/343"
    ],
    [
      "160501675534/49",
      "2600417264212291/343"
    ],
    [
      "13295006389/4",
      "-20927523083029/8"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z5.tsv.gz:2088 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:05:35",
  "updated_at": "2026-10-17 10:05:35"
}