{
  "id": 4659,
  "curve_key": "206627296:-4496527191680",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-4304735",
    "5205748791"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 58.26865295916341,
  "faltings_height": 2.8859461298214297,
  "conductor": "148576007943552",
  "bad_primes": [
    "2",
    "3",
    "7",
    "31",
    "113",
    "233",
    "241",
    "281"
  ],
  "discriminant": "-6595392104363786105088",
  "regulator": "7072.490325391586473653063237637905517291064524523053",
  "points": [
    [
      "-2242",
      "59853"
    ],
    [
      "-2290",
      "55221"
    ],
    [
      "3302",
      "164265"
    ],
    [
      "1671",
      "51726"
    ],
    [
      "67871/25",
      "14535006/125"
    ],
    [
      "7319/49",
      "23177442/343"
    ],
    [
      "-1961",
      "78118"
    ]
  ],
  "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. Seven supplied rational points checked exactly on the displayed model. Rational torsion Z/2Z. Source-attributed existing curve.",
  "created_at": "2026-10-20 18:04:21",
  "updated_at": "2026-10-20 18:04:21"
}