{
  "id": 4999,
  "curve_key": "0:16955052840",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-19623904"
  ],
  "rank_lower_bound": 6,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 47.10766345800794,
  "faltings_height": 1.9832945306256236,
  "conductor": "228205984230675",
  "bad_primes": [
    "3",
    "5",
    "11",
    "52859"
  ],
  "discriminant": "-166362162504162075",
  "regulator": "11822.430520616502885792181471389957318247068504033",
  "points": [
    [
      "276",
      "1183"
    ],
    [
      "334",
      "4199"
    ],
    [
      "456",
      "8671"
    ],
    [
      "564",
      "12640"
    ],
    [
      "1626",
      "65416"
    ],
    [
      "7681/16",
      "610527/64"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of Daniel Błażewicz's curve #4998: https://elliptic-rank.icarm.cloud/curve/4998. Points transported by the rational 3-isogeny and reduced with PARI/GP. Six rational points checked exactly; PARI/GP returned rank bounds [6,6]. Rational torsion trivial.",
  "created_at": "2026-10-21 01:44:20",
  "updated_at": "2026-10-21 01:44:20"
}