{
  "id": 4567,
  "curve_key": "1006048:-22681959040",
  "ainvs": [
    "0",
    "1",
    "0",
    "-20959",
    "26245281"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 47.68967137900138,
  "faltings_height": 2.0319468600149655,
  "conductor": "1033441474688",
  "bad_primes": [
    "2",
    "7",
    "71",
    "113",
    "233",
    "617"
  ],
  "discriminant": "-297137159685243136",
  "regulator": "2558.2518299870590879545153791969956994068508736542",
  "points": [
    [
      "145",
      "5126"
    ],
    [
      "1543",
      "60580"
    ],
    [
      "1776",
      "74793"
    ],
    [
      "-1051/4",
      "29591/8"
    ],
    [
      "71",
      "5012"
    ],
    [
      "-159",
      "5058"
    ]
  ],
  "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 02:04:18",
  "updated_at": "2026-10-18 02:04:18"
}