{
  "id": 4359,
  "curve_key": "554036081088:-412388999881067520",
  "ainvs": [
    "0",
    "0",
    "0",
    "-11542418356",
    "477302083195680"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2,
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 81.12148694967188,
  "faltings_height": 4.192517588540331,
  "conductor": "554036080832",
  "bad_primes": [
    "2",
    "13",
    "17",
    "19",
    "59",
    "83",
    "421"
  ],
  "discriminant": "306955978863682437812224",
  "regulator": "57400.0782480371304577184510048971909643194261435",
  "points": [
    [
      "67502",
      "-2395824"
    ],
    [
      "30036713/484",
      "143600043/10648"
    ],
    [
      "14086894/225",
      "-846335728/3375"
    ],
    [
      "14556497/196",
      "14957099079/2744"
    ],
    [
      "1268500718/20449",
      "4955626512/2924207"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-10-17 10:08:38"
    }
  ],
  "commentary": "2-ISOG#1 torsion/torsion_Z4.tsv.gz:2354 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:06:11",
  "updated_at": "2026-10-17 10:08:38"
}