{
  "id": 4562,
  "curve_key": "2779168:-24448883840",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-57899",
    "28316619"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 47.83970080221904,
  "faltings_height": 2.0437118408208317,
  "conductor": "961357024128",
  "bad_primes": [
    "2",
    "3",
    "17",
    "19",
    "43",
    "53",
    "179"
  ],
  "discriminant": "-333496674384051456",
  "regulator": "755.63107465434163945257524006293476543242014012058",
  "points": [
    [
      "279",
      "5814"
    ],
    [
      "602",
      "14535"
    ],
    [
      "41",
      "5100"
    ],
    [
      "-265",
      "4998"
    ],
    [
      "241",
      "5320"
    ],
    [
      "58",
      "5015"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From Michael Rubinstein's elliptic-curves-by-rank repository, torsion/torsion_Z2.tsv.gz: https://github.com/mrubinst/elliptic-curves-by-rank. Six supplied rational points checked exactly and certified independent modulo torsion. Rational torsion C2. Source-attributed existing curve.",
  "created_at": "2026-10-18 01:59:11",
  "updated_at": "2026-10-18 01:59:11"
}