{
  "id": 4574,
  "curve_key": "28719808:-153130088800",
  "ainvs": [
    "0",
    "1",
    "0",
    "-598329",
    "177034456"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 51.519292850655546,
  "faltings_height": 2.129773527151019,
  "conductor": "489394393228",
  "bad_primes": [
    "2",
    "13",
    "17",
    "29",
    "53",
    "103",
    "269"
  ],
  "discriminant": "138923407616845904",
  "regulator": "579.18521058778640913846333011950037166919868142681",
  "points": [
    [
      "-217",
      "17225"
    ],
    [
      "525",
      "2809"
    ],
    [
      "1161",
      "32383"
    ],
    [
      "-867",
      "6695"
    ],
    [
      "485",
      "1079"
    ],
    [
      "-853",
      "-8215"
    ]
  ],
  "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 02:09:36",
  "updated_at": "2026-10-18 02:09:36"
}