{
  "id": 4564,
  "curve_key": "562246825:-13331846783125",
  "ainvs": [
    "1",
    "0",
    "1",
    "-11713476",
    "15429402098"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 60.44235450550066,
  "faltings_height": 2.5877606215613373,
  "conductor": "147253752950",
  "bad_primes": [
    "2",
    "5",
    "41",
    "61",
    "89",
    "101",
    "131"
  ],
  "discriminant": "96451208182250000",
  "regulator": "632.36447306396571468380243528606764690486328839360",
  "points": [
    [
      "1957",
      "471"
    ],
    [
      "-643",
      "150971"
    ],
    [
      "1982",
      "-529"
    ],
    [
      "2501",
      "40931"
    ],
    [
      "1877",
      "6611"
    ],
    [
      "2222",
      "18226"
    ]
  ],
  "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 02:01:04",
  "updated_at": "2026-10-18 02:01:04"
}