{
  "id": 4341,
  "curve_key": "11096717383233:-15162691702395521025",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-231181612151",
    "17549469487990446"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4
  ],
  "family": null,
  "families": [],
  "naive_height": 90.11301134780838,
  "faltings_height": 5.566546270089241,
  "conductor": "1456311062105757",
  "bad_primes": [
    "3",
    "11",
    "13",
    "29",
    "47",
    "191",
    "251",
    "17317"
  ],
  "discriminant": "657703000864423187930847157227675729",
  "regulator": "5138.6779618576325996467273269367576419081028411533",
  "points": [
    [
      "-5905/4",
      "1070056311/8"
    ],
    [
      "878681",
      "701576535"
    ],
    [
      "-395724",
      "217140438"
    ],
    [
      "-26055529/100",
      "245275452651/1000"
    ],
    [
      "1921376",
      "2580991338"
    ],
    [
      "-44551432/121",
      "305952932598/1331"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z4.tsv.gz:4259 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:05:32",
  "updated_at": "2026-10-17 10:05:32"
}