{
  "id": 4560,
  "curve_key": "140026048:-1656847728640",
  "ainvs": [
    "0",
    "1",
    "0",
    "-2917209",
    "1916675431"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 56.27201706122985,
  "faltings_height": 2.374183419817822,
  "conductor": "702058495936",
  "bad_primes": [
    "2",
    "7",
    "23",
    "31",
    "233",
    "9433"
  ],
  "discriminant": "224254333005860864",
  "regulator": "568.17442745410652529122018731090249394871652463522",
  "points": [
    [
      "111",
      "39928"
    ],
    [
      "818",
      "-8855"
    ],
    [
      "1010",
      "-1271"
    ],
    [
      "-1873",
      "28520"
    ],
    [
      "-757",
      "60760"
    ],
    [
      "1301",
      "18032"
    ]
  ],
  "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 01:57:52",
  "updated_at": "2026-10-18 01:57:52"
}